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+
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Prethermalization for Deformed Wigner Matrices
|
2024
|
László Erdős
Joscha Henheik
Jana Reker
В В Рябов
|
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+
PDF
Chat
|
Optimal decay of eigenvector overlap for non-Hermitian random matrices
|
2024
|
Giorgio Cipolloni
László Erdős
Yuanyuan Xu
|
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+
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Eigenstate Thermalization Hypothesis for Wigner-Type Matrices
|
2024
|
László Erdős
В В Рябов
|
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+
PDF
Chat
|
Eigenvector decorrelation for random matrices
|
2024
|
Giorgio Cipolloni
László Erdős
Joscha Henheik
Oleksii Kolupaiev
|
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+
PDF
Chat
|
Loschmidt Echo for Deformed Wigner Matrices
|
2024
|
László Erdős
Joscha Henheik
Oleksii Kolupaiev
|
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+
PDF
Chat
|
Cusp Universality for Correlated Random Matrices
|
2024
|
László Erdős
Joscha Henheik
В В Рябов
|
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+
PDF
Chat
|
Non-Hermitian spectral universality at critical points
|
2024
|
Giorgio Cipolloni
László Erdős
Hong Chang Ji
|
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+
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Precise asymptotics for the spectral radius of a large random matrix
|
2024
|
Giorgio Cipolloni
László Erdős
Yuanyuan Xu
|
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+
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Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices
|
2024
|
Giorgio Cipolloni
László Erdős
Joscha Henheik
Dominik Schröder
|
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+
PDF
|
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices
|
2024
|
László Erdős
Hong Chang Ji
|
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+
PDF
Chat
|
On the spectral edge of non-Hermitian random matrices
|
2024
|
Andrew I. Campbell
Giorgio Cipolloni
László Erdős
Hong Chang Ji
|
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+
PDF
Chat
|
Eigenstate Thermalization Hypothesis for Wigner-type Matrices
|
2024
|
В В Рябов
László Erdős
|
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+
PDF
Chat
|
Out-of-time-ordered correlators for Wigner matrices
|
2024
|
Giorgio Cipolloni
László Erdős
Joscha Henheik
|
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+
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Extremal statistics of quadratic forms of GOE/GUE eigenvectors
|
2024
|
László Erdős
Benjamin McKenna
|
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+
PDF
Chat
|
Functional CLT for non-Hermitian random matrices
|
2023
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László Erdős
Hong Chang Ji
|
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+
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On the rightmost eigenvalue of non-Hermitian random matrices
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2023
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
Yuanyuan Xu
|
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+
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Mesoscopic central limit theorem for non-Hermitian random matrices
|
2023
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
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+
PDF
|
Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems
|
2023
|
Shoki Sugimoto
Joscha Henheik
В В Рябов
László Erdős
|
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+
PDF
Chat
|
Randomly coupled differential equations with elliptic correlations
|
2023
|
László Erdős
Torben Krüger
David Renfrew
|
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+
PDF
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On the Spectral Form Factor for Random Matrices
|
2023
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
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+
PDF
Chat
|
Small deviation estimates for the largest eigenvalue of Wigner matrices
|
2023
|
László Erdős
Yuanyuan Xu
|
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+
PDF
Chat
|
Functional central limit theorems for Wigner matrices
|
2023
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
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+
PDF
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Dynamics of a rank-one perturbation of a Hermitian matrix
|
2023
|
Guillaume Dubach
László Erdős
|
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+
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Optimal Lower Bound on Eigenvector Overlaps for non-Hermitian Random Matrices
|
2023
|
Giorgio Cipolloni
László Erdős
Joscha Henheik
Dominik Schröder
|
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+
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Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices
|
2023
|
László Erdős
Hong Chang Ji
|
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+
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Gaussian fluctuations in the Equipartition Principle for Wigner matrices
|
2023
|
Giorgio Cipolloni
László Erdős
Joscha Henheik
Oleksii Kolupaiev
|
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+
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Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems
|
2023
|
Shoki Sugimoto
Joscha Henheik
В В Рябов
László Erdős
|
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+
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Density of Brown measure of free circular Brownian motion
|
2023
|
László Erdős
Hong Chang Ji
|
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+
PDF
|
Gaussian fluctuations in the equipartition principle for Wigner matrices
|
2023
|
Giorgio Cipolloni
László Erdős
Joscha Henheik
Oleksii Kolupaiev
|
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+
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Eigenstate thermalisation at the edge for Wigner matrices
|
2023
|
Giorgio Cipolloni
László Erdős
Joscha Henheik
|
|
+
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Prethermalization for Deformed Wigner Matrices
|
2023
|
László Erdős
Joscha Henheik
Jana Reker
В В Рябов
|
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+
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Universality of extremal eigenvalues of large random matrices
|
2023
|
Giorgio Cipolloni
László Erdős
Yuanyuan Xu
|
|
+
PDF
|
Directional extremal statistics for Ginibre eigenvalues
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
Yuanyuan Xu
|
|
+
PDF
Chat
|
On the Condition Number of the Shifted Real Ginibre Ensemble
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
|
Quenched universality for deformed Wigner matrices
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
Chat
|
Directional Extremal Statistics for Ginibre Eigenvalues
|
2022
|
Giorgio Cipolloni
László Erdős
Yuanyuan Xu
Dominik Schröder
|
|
+
PDF
|
Density of Small Singular Values of the Shifted Real Ginibre Ensemble
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
Chat
|
Normal fluctuation in quantum ergodicity for Wigner matrices
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
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Thermalisation for Wigner matrices
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
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Rank-uniform local law for Wigner matrices
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
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On the rightmost eigenvalue of non-Hermitian random matrices
|
2022
|
Giorgio Cipolloni
László Erdős
Yuanyuan Xu
Dominik Schröder
|
|
+
|
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
|
2022
|
László Erdős
Benjamin McKenna
|
|
+
PDF
|
Optimal multi-resolvent local laws for Wigner matrices
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
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Precise asymptotics for the spectral radius of a large random matrix
|
2022
|
Giorgio Cipolloni
László Erdős
Yuanyuan Xu
|
|
+
PDF
|
Rank-uniform local law for Wigner matrices
|
2022
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
Chat
|
Optimal multi-resolvent local laws for Wigner matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
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+
PDF
|
Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
|
Eigenstate Thermalization Hypothesis for Wigner Matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
|
Scattering in Quantum Dots via Noncommutative Rational Functions
|
2021
|
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
PDF
|
Spectral radius of random matrices with independent entries
|
2021
|
Johannes Alt
László Erdős
Torben Krüger
|
|
+
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Thermalisation for Wigner matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
|
Equipartition principle for Wigner matrices
|
2021
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
PDF
|
Fluctuation around the circular law for random matrices with real entries
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Functional CLT for non-Hermitian random matrices
|
2021
|
László Erdős
Hong Chang Ji
|
|
+
|
Small deviation estimates for the largest eigenvalue of Wigner matrices
|
2021
|
László Erdős
Yuanyuan Xu
|
|
+
|
Quenched universality for deformed Wigner matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
On the Spectral Form Factor for Random Matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Dynamics of a rank-one perturbation of a Hermitian matrix
|
2021
|
Guillaume Dubach
László Erdős
|
|
+
|
Density of small singular values of the shifted real Ginibre ensemble
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Normal fluctuation in quantum ergodicity for Wigner matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Thermalisation for Wigner matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
On the condition number of the shifted real Ginibre ensemble
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Optimal multi-resolvent local laws for Wigner matrices
|
2021
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Random Matrices
|
2020
|
László Erdős
Friedrich Götze
Alice Guionnet
|
|
+
PDF
|
Optimal lower bound on the least singular value of the shifted Ginibre ensemble
|
2020
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
Chat
|
On the support of the free additive convolution
|
2020
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
PDF
|
Edge universality for non-Hermitian random matrices
|
2020
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Spectral rigidity for addition of random matrices at the regular edge
|
2020
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
PDF
|
Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
|
2020
|
László Erdős
Torben Krüger
Dominik Schröder
|
|
+
PDF
|
Correlated random matrices: Band rigidity and edge universality
|
2020
|
Johannes Alt
László Erdős
Torben Krüger
Dominik Schröder
|
|
+
|
Local laws for polynomials of Wigner matrices
|
2020
|
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
|
Fluctuation Around the Circular Law for Random Matrices with Real Entries
|
2020
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
|
The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and Cusps
|
2020
|
Johannes Alt
László Erdős
Torben Krüger
|
|
+
|
Fluctuation Around the Circular Law for Random Matrices with Real Entries
|
2020
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Functional Central Limit Theorems for Wigner Matrices
|
2020
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian Random Matrices
|
2019
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Scattering in quantum dots via noncommutative rational functions
|
2019
|
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
PDF
Chat
|
The matrix Dyson equation and its applications for random matrices
|
2019
|
László Erdős
|
|
+
|
Quadratic Vector Equations on Complex Upper Half-Plane
|
2019
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
PDF
Chat
|
Cusp universality for random matrices, II: The real symmetric case
|
2019
|
Giorgio Cipolloni
László Erdős
Torben Krüger
Dominik Schröder
|
|
+
PDF
Chat
|
Quadratic Vector Equations On Complex Upper Half-Plane
|
2019
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Randomly coupled differential equations with correlations
|
2019
|
László Erdős
Torben Krüger
David Renfrew
|
|
+
|
Edge Universality for non-Hermitian Random Matrices
|
2019
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
PDF
|
Local single ring theorem on optimal scale
|
2019
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
PDF
|
Location of the spectrum of Kronecker random matrices
|
2019
|
Johannes Alt
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
|
Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
|
2019
|
Giorgio Cipolloni
László Erdős
|
|
+
|
The matrix Dyson equation and its applications for random matrices
|
2019
|
László Erdős
|
|
+
PDF
|
RANDOM MATRICES WITH SLOW CORRELATION DECAY
|
2019
|
László Erdős
Torben Krüger
Dominik Schröder
|
|
+
|
Towards the bulk universality of non-Hermitian random matrices
|
2019
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Edge Universality for non-Hermitian Random Matrices
|
2019
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian Random Matrices
|
2019
|
Giorgio Cipolloni
László Erdős
Dominik Schröder
|
|
+
|
Scattering in quantum dots via noncommutative rational functions
|
2019
|
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
|
Randomly coupled differential equations with elliptic correlations
|
2019
|
László Erdős
Torben Krüger
David Renfrew
|
|
+
|
The matrix Dyson equation and its applications for random matrices
|
2019
|
László Erdős
|
|
+
|
Spectral radius of random matrices with independent entries
|
2019
|
Johannes Alt
László Erdős
Torben Krüger
|
|
+
|
Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
|
2018
|
László Erdős
Torben Krüger
Dominik Schröder
|
|
+
PDF
Chat
|
Bounds on the norm of Wigner-type random matrices
|
2018
|
László Erdős
Peter Mühlbacher
|
|
+
|
Fluctuations for linear eigenvalue statistics of sample covariance random matrices
|
2018
|
Giorgio Cipolloni
László Erdős
|
|
+
|
Local laws for polynomials of Wigner matrices
|
2018
|
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
|
Correlated Random Matrices: Band Rigidity and Edge Universality
|
2018
|
Johannes Alt
László Erdős
Torben Krüger
Dominik Schröder
|
|
+
PDF
|
Stability of the matrix Dyson equation and random matrices with correlations
|
2018
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Bounds on the norm of Wigner-type random matrices
|
2018
|
László Erdős
Peter Mühlbacher
|
|
+
PDF
|
Local inhomogeneous circular law
|
2018
|
Johannes Alt
László Erdős
Torben Krüger
|
|
+
PDF
|
Power Law Decay for Systems of Randomly Coupled Differential Equations
|
2018
|
László Erdős
Torben Krüger
David Renfrew
|
|
+
|
On the support of the free additive convolution
|
2018
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
|
Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
|
2018
|
László Erdős
Torben Krüger
Dominik Schröder
|
|
+
|
Correlated Random Matrices: Band Rigidity and Edge Universality
|
2018
|
Johannes Alt
László Erdős
Torben Krüger
Dominik Schröder
|
|
+
|
Local laws for polynomials of Wigner matrices
|
2018
|
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
|
Bounds on the norm of Wigner-type random matrices
|
2018
|
László Erdős
Peter Mühlbacher
|
|
+
|
Fluctuations for linear eigenvalue statistics of sample covariance matrices
|
2018
|
Giorgio Cipolloni
László Erdős
|
|
+
|
The Dyson equation with linear self-energy: spectral bands, edges and cusps
|
2018
|
Johannes Alt
László Erdős
Torben Krüger
|
|
+
PDF
|
Universality for random matrix flows with time-dependent density
|
2017
|
László Erdős
Kevin Schnelli
|
|
+
|
Convergence rate for spectral distribution of addition of random matrices
|
2017
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
|
A Dynamical Approach to Random Matrix Theory
|
2017
|
László Erdős
Horng‐Tzer Yau
|
|
+
|
Location of the spectrum of Kronecker random matrices
|
2017
|
Johannes Alt
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
|
Spectral rigidity for addition of random matrices at the regular edge
|
2017
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
PDF
Chat
|
Universality for a class of random band matrices
|
2017
|
Paul Bourgade
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
|
Local law for random Gram matrices
|
2017
|
Johannes Alt
László Erdős
Torben Krüger
|
|
+
|
Location of the spectrum of Kronecker random matrices
|
2017
|
Johannes Alt
László Erdős
Torben Krüger
Yuriy Nemish
|
|
+
|
Local inhomogeneous circular law
|
2016
|
Johannes Alt
László Erdős
Torben Krüger
|
|
+
PDF
Chat
|
Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues
|
2016
|
László Erdős
Dominik Schröder
|
|
+
PDF
|
Local Law of Addition of Random Matrices on Optimal Scale
|
2016
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
PDF
|
Universality for general Wigner-type matrices
|
2016
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Local eigenvalue statistics for random matrices with general short range correlations
|
2016
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Local stability of the free additive convolution
|
2016
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
PDF
Chat
|
Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half‐Plane
|
2016
|
Oskari Ajanki
Torben Krüger
László Erdős
|
|
+
PDF
|
Local Spectral Statistics of Gaussian Matrices with Correlated Entries
|
2016
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
PDF
Chat
|
Delocalization for a class of random block band matrices
|
2016
|
Zhigang Bao
László Erdős
|
|
+
|
Universality for a class of random band matrices
|
2016
|
Paul Bourgade
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
|
Convergence Rate for Spectral Distribution of Addition of Random Matrices
|
2016
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
|
Fluctuations of functions of Wigner matrices
|
2016
|
László Erdős
Dominik Schröder
|
|
+
|
Local single ring theorem on optimal scale
|
2016
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
|
Local inhomogeneous circular law
|
2016
|
Johannes Alt
László Erdős
Torben Krüger
|
|
+
PDF
Chat
|
Fixed Energy Universality for Generalized Wigner Matrices
|
2015
|
Paul Bourgade
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
|
Singularities of solutions to quadratic vector equations on complex upper half-plane
|
2015
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Local Spectral Density of the Sum of Random Matrices
|
2015
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
PDF
|
Gap universality of generalized Wigner and $\beta$-ensembles
|
2015
|
László Erdős
Horng‐Tzer Yau
|
|
+
|
Universality for general Wigner-type matrices
|
2015
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Universality for Random Matrix Flows with Time-dependent Density
|
2015
|
László Erdős
Kevin Schnelli
|
|
+
|
Local Stability of the Free Additive Convolution
|
2015
|
Zhigang Bao
László Erdős
Kevin Schnelli
|
|
+
|
Delocalization for a class of random block band matrices
|
2015
|
Zhigang Bao
László Erdős
|
|
+
|
Universality for Random Matrix Flows with Time-dependent Density
|
2015
|
László Erdős
Kevin Schnelli
|
|
+
|
Universality for general Wigner-type matrices
|
2015
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Singularities of solutions to quadratic vector equations on complex upper half-plane
|
2015
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
PDF
Chat
|
Phase Transition in the Density of States of Quantum Spin Glasses
|
2014
|
László Erdős
Dominik Schröder
|
|
+
PDF
Chat
|
Edge Universality of Beta Ensembles
|
2014
|
Paul Bourgade
László Erdős
Horng‐Tzer Yau
|
|
+
|
Random matrices, log-gases and Holder regularity
|
2014
|
László Erdős
|
|
+
PDF
Chat
|
The Altshuler–Shklovskii Formulas for Random Band Matrices I: the Unimodular Case
|
2014
|
László Erdős
Antti Knowles
|
|
+
PDF
|
The Altshuler–Shklovskii Formulas for Random Band Matrices II: The General Case
|
2014
|
László Erdős
Antti Knowles
|
|
+
PDF
Chat
|
Universality of general β-ensembles
|
2014
|
Paul Bourgade
László Erdős
H. T. Yau
|
|
+
|
Fixed energy universality for generalized Wigner matrices
|
2014
|
Paul Bourgade
László Erdős
Hong-Tzer Yau
Jun Yin
|
|
+
PDF
|
Isotropic local laws for sample covariance and generalized Wigner matrices
|
2014
|
Alex Bloemendal
László Erdős
Antti Knowles
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
|
Local semicircle law with imprimitive variance matrix
|
2014
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Random matrices, log-gases and Holder regularity
|
2014
|
László Erdős
|
|
+
|
Local semicircle law with imprimitive variance matrix
|
2013
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
PDF
|
Stability and semiclassics in self-generated fields
|
2013
|
László Erdős
Søren Fournais
Jan Philip Solovej
|
|
+
|
The Altshuler-Shklovskii Formulas for Random Band Matrices II: the General Case
|
2013
|
László Erdős
Antti Knowles
|
|
+
PDF
Chat
|
Delocalization and Diffusion Profile for Random Band Matrices
|
2013
|
László Erdős
Antti Knowles
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
Chat
|
Local Eigenvalue Density for General MANOVA Matrices
|
2013
|
László Erdős
Brendan Farrell
|
|
+
|
Spectral statistics of Erdős–Rényi graphs I: Local semicircle law
|
2013
|
László Erdős
Antti Knowles
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
|
Averaging Fluctuations in Resolvents of Random Band Matrices
|
2013
|
László Erdős
Antti Knowles
Horng‐Tzer Yau
|
|
+
PDF
|
The local semicircle law for a general class of random matrices
|
2013
|
László Erdős
Antti Knowles
Horng‐Tzer Yau
Jun Yin
|
|
+
|
Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices
|
2013
|
Alex Bloemendal
László Erdős
Antti Knowles
Horng‐Tzer Yau
Jun Yin
|
|
+
|
The Altshuler-Shklovskii Formulas for Random Band Matrices II: the General Case
|
2013
|
László Erdős
Antti Knowles
|
|
+
|
Local semicircle law with imprimitive variance matrix
|
2013
|
Oskari Ajanki
László Erdős
Torben Krüger
|
|
+
|
Universality for random matrices and log-gases
|
2012
|
László Erdős
|
|
+
|
Gap Universality of Generalized Wigner and beta-Ensembles
|
2012
|
László Erdős
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Bulk universality of general β-ensembles with non-convex potential
|
2012
|
Paul Bourgade
László Erdős
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues
|
2012
|
László Erdős
Antti Knowles
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
Chat
|
Lecture notes on quantum Brownian motion
|
2012
|
László Erdős
|
|
+
PDF
Chat
|
Relativistic Scott correction in self-generated magnetic fields
|
2012
|
László Erdős
Søren Fournais
Jan Philip Solovej
|
|
+
PDF
|
Wegner Estimate for Random Magnetic Laplacian on $${\mathbb{Z}^{2}}$$
|
2012
|
László Erdős
David Hasler
|
|
+
PDF
Chat
|
Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field
|
2012
|
László Erdős
Søren Fournais
Jan Philip Solovej
|
|
+
PDF
Chat
|
Anderson Localization at Band Edges for Random Magnetic Fields
|
2012
|
László Erdős
David Hasler
|
|
+
PDF
|
Universality of local spectral statistics of random matrices
|
2012
|
László Erdős
Horng‐Tzer Yau
|
|
+
|
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices
|
2012
|
László Erdős
Horng‐Tzer Yau
|
|
+
PDF
|
The local relaxation flow approach to universality of the local statistics for random matrices
|
2012
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
|
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices
|
2012
|
László Erdős
Horng‐Tzer Yau
|
|
+
|
The Local Semicircle Law for a General Class of Random Matrices
|
2012
|
László Erdős
Antti Knowles
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
|
Universality for random matrices and log-gases
|
2012
|
László Erdős
|
|
+
|
Gap Universality of Generalized Wigner and beta-Ensembles
|
2012
|
László Erdős
Horng‐Tzer Yau
|
|
+
|
Universality for random matrices and log-gases
|
2012
|
László Erdős
|
|
+
|
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices
|
2012
|
László Erdős
Horng‐Tzer Yau
|
|
+
PDF
|
Rigidity of eigenvalues of generalized Wigner matrices
|
2011
|
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
|
Second Order Semiclassics with Self-Generated Magnetic Fields
|
2011
|
László Erdős
Søren Fournais
Jan Philip Solovej
|
|
+
PDF
Chat
|
Wegner Estimate and Anderson Localization for Random Magnetic Fields
|
2011
|
László Erdős
David Hasler
|
|
+
PDF
|
Bulk universality for generalized Wigner matrices
|
2011
|
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
Chat
|
Universality of Wigner random matrices: a survey of recent results
|
2011
|
László Erdős
|
|
+
|
Universality of local spectral statistics of random matrices
|
2011
|
László Erdős
Horng‐Tzer Yau
|
|
+
|
Stability and semiclassics in self-generated fields
|
2011
|
László Erdős
Søren Fournais
Jan Philip Solovej
|
|
+
PDF
|
Quantum Diffusion and Delocalization for Band Matrices with General Distribution
|
2011
|
László Erdős
Antti Knowles
|
|
+
PDF
Chat
|
Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model
|
2011
|
László Erdős
Antti Knowles
|
|
+
|
Anderson localization for random magnetic Laplacian on Z^2
|
2011
|
László Erdős
David Hasler
|
|
+
PDF
|
Универсальность случайных матриц Вигнера: обзор последних результатов
|
2011
|
Ласло Эрдeш
László Erdős
|
|
+
PDF
|
Universality for generalized Wigner matrices with Bernoulli distribution
|
2011
|
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
|
Universality of local spectral statistics of random matrices
|
2011
|
László Erdős
Horng‐Tzer Yau
|
|
+
|
Stability and semiclassics in self-generated fields
|
2011
|
László Erdős
Søren Fournais
Jan Philip Solovej
|
|
+
PDF
|
Universality of random matrices and local relaxation flow
|
2010
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
|
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
|
2010
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
UNIVERSALITY OF WIGNER RANDOM MATRICES
|
2010
|
László Erdős
|
|
+
PDF
|
Bulk universality for Wigner matrices
|
2010
|
László Erdős
Sandrine Péché
José A. Ramı́rez
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Universality for generalized Wigner matrices with Bernoulli distribution
|
2010
|
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
|
Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation
|
2010
|
László Erdős
José A. Ramı́rez
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Rigidity of Eigenvalues of Generalized Wigner Matrices
|
2010
|
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
|
Bulk universality for generalized Wigner matrices
|
2010
|
László Erdős
Horng‐Tzer Yau
Jun Yin
|
|
+
PDF
|
Bulk universality for Wigner hermitian matrices with subexponential decay
|
2010
|
László Erdős
José A. Ramı́rez
Benjamin Schlein
Terence Tao
Van Vu
Horng‐Tzer Yau
|
|
+
|
Lecture Notes on Quantum Brownian Motion
|
2010
|
László Erdős
|
|
+
PDF
|
Wegner Estimate and Level Repulsion for Wigner Random Matrices
|
2009
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Universality of Random Matrices and Local Relaxation Flow
|
2009
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Ground State Energy of Large Atoms in a Self-Generated Magnetic Field
|
2009
|
László Erdős
Jan Philip Solovej
|
|
+
|
Bulk universality for Wigner hermitian matrices with subexponential decay
|
2009
|
László Erdős
José A. Ramı́rez
Benjamin Schlein
Terence Tao
Van Vu
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Dynamical Formation of Correlations in a Bose-Einstein Condensate
|
2009
|
László Erdős
Alessandro Michelangeli
Benjamin Schlein
|
|
+
|
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
|
2009
|
László Erdős
José A. Ramı́rez
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
|
2009
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
|
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
|
2009
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Quantum Dynamics with Mean Field Interactions: a New Approach
|
2009
|
László Erdős
Benjamin Schlein
|
|
+
|
Bulk Universality for Wigner Matrices
|
2009
|
László Erdős
Sandrine Péché
José A. Ramı́rez
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
The local relaxation flow approach to universality of the local statistics for random matrices
|
2009
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
Jun Yin
|
|
+
|
Bulk universality for Wigner hermitian matrices with subexponential decay
|
2009
|
László Erdős
José Luis Ramírez
Benjamin Schlein
Terence Tao
Van Vu
Horng‐Tzer Yau
|
|
+
|
Universality of Random Matrices and Local Relaxation Flow
|
2009
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
|
2009
|
László Erdős
José A. Ramirez
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Ground-state energy of a low-density Bose gas: A second-order upper bound
|
2008
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
FEYNMAN GRAPHS AND RENORMALIZATION IN QUANTUM DIFFUSION
|
2008
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
PDF
|
Local Semicircle Law and Complete Delocalization for Wigner Random Matrices
|
2008
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Rate of Decoherence for an Electron Weakly Coupled to a Phonon Gas
|
2008
|
Riccardo Adami
László Erdős
|
|
+
|
Rigorous Derivation of the Gross-Pitaevskii Equation: the Case of a Strong Potential
|
2008
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Wegner estimate and level repulsion for Wigner random matrices
|
2008
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
|
Quantum diffusion of the random Schrödinger evolution in the scaling limit
|
2008
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
PDF
|
Quantum Diffusion for the Anderson Model in the Scaling Limit
|
2007
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Decay of the Fourier transform of surfaces with vanishing curvature
|
2007
|
László Erdős
Manfred Salmhofer
|
|
+
PDF
|
Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams
|
2007
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Rigorous Derivation of the Gross-Pitaevskii Equation
|
2007
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
|
Recent developments in quantum mechanics with magnetic fields
|
2007
|
László Erdős
|
|
+
PDF
Chat
|
Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
|
2006
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate
|
2006
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate
|
2006
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Decay of the Fourier transform of surfaces with vanishing curvature
|
2006
|
László Erdős
Manfred Salmhofer
|
|
+
|
Derivation of the Gross-Pitaevskii Equation from Quantum Dynamics of Many-Body Systems
|
2005
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons
|
2005
|
Alexander Elgart
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
THE LINEAR BOLTZMANN EQUATION AS THE LOW DENSITY LIMIT OF A RANDOM SCHRÖDINGER EQUATION
|
2005
|
David Eng
László Erdős
|
|
+
PDF
|
Existence of the D0−D4 Bound State: a Detailed Proof
|
2005
|
László Erdős
David Hasler
Jan Philip Solovej
|
|
+
|
Recent developments in quantum mechanics with magnetic fields
|
2005
|
László Erdős
|
|
+
|
Quantum diffusion of the random Schrodinger evolution in the scaling limit II. The recollision diagrams
|
2005
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
|
Quantum diffusion of the random Schrodinger evolution in the scaling limit
|
2005
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
|
Towards the quantum Brownian motion
|
2005
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
|
Quantum diffusion for the Anderson model in the scaling limit
|
2005
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
|
2004
|
Alexander Elgart
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
On the Quantum Boltzmann Equation
|
2004
|
László Erdős
Manfred Salmhofer
Horng‐Tzer Yau
|
|
+
PDF
|
Uniform Lieb-Thirring Inequality for the Three-Dimensional Pauli Operator with a Strong Non-Homogeneous Magnetic Field
|
2004
|
László Erdős
Jan Philip Solovej
|
|
+
PDF
Chat
|
Magnetic Lieb–Thirring Inequalities with Optimal Dependence on the Field Strength
|
2004
|
László Erdős
Jan Philip Solovej
|
|
+
|
Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons
|
2004
|
Alexander Elgart
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate
|
2004
|
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
|
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
|
2003
|
Alexander Elgart
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
Pauli Operator and Aharonov-Casher Theorem¶ for Measure Valued Magnetic Fields
|
2002
|
László Erdős
Vitali Vougalter
|
|
+
|
Scaling Limits of Schrödinger Quantum Mechanics
|
2002
|
László Erdős
|
|
+
PDF
Chat
|
Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field
|
2002
|
László Erdős
|
|
+
PDF
|
Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions
|
2002
|
László Erdős
|
|
+
|
Two dimensional Pauli operator via scalar potential
|
2002
|
László Erdős
Vitali Vougalter
|
|
+
|
Derivation of the nonlinear Schr\"odinger equation with Coulomb potential
|
2001
|
László Erdős
Horng‐Tzer Yau
|
|
+
PDF
Chat
|
THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ<sup>3</sup>
|
2001
|
László Erdős
Jan Philip Solovej
|
|
+
|
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
|
2001
|
László Erdős
Horng‐Tzer Yau
|
|
+
PDF
|
Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system
|
2001
|
László Erdős
Horng‐Tzer Yau
|
|
+
PDF
|
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
|
2000
|
László Erdős
Horng‐Tzer Yau
|
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Diamagnetic behavior of sums Dirichlet eigenvalues
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2000
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László Erdős
Michael Loss
Vitali Vougalter
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On the kernel of SpinC Dirac operators on S 3 and R 3
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2000
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László Erdős
Jan Philip Solovej
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Lifschitz tail in a magnetic field: coexistence of classical and quantum behavior in the borderline case
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2000
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László Erdős
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Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields, I: Nonasymptotic Lieb-Thirring–type estimate
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1999
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László Erdős
Jan Philip Solovej
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Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schrodinger Equation
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1999
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László Erdős
H. T. Yau
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PDF
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Lifschitz tail in a magnetic field: the nonclassical regime
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1998
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László Erdős
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PDF
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Linear Boltzmann equation as scaling limit of quantum Lorentz gas
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1998
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László Erdős
Horng‐Tzer Yau
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Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong Non-Homogeneous Magnetic Fields
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1997
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László Erdős
Jan Philip Solovej
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Dia- and paramagnetism for nonhomogeneous magnetic fields
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1997
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László Erdős
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Rayleigh-type isoperimetric inequality with a homogeneous magnetic field
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1996
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László Erdős
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Gaussian decay of the magnetic eigenfunctions
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1996
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László Erdős
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PDF
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Magnetic Lieb-Thirring inequalities
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1995
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László Erdős
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Magnetic Lieb-Thirring Inequalities and Stochastic Oscillatory Integrals
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1995
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László Erdős
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Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator
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1994
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László Erdős
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Magnetic Lieb-Thirring Inequalities and Estimates on Stochastic Oscillatory Integrals.
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1994
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László Erdős
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Ground-state density of the pauli operator in the large field limit
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1993
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László Erdős
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On some problems of P. Turán concerning power sums of complex numbers
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1992
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László Erdős
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PDF
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Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers
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1992
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László Erdős
Dão Quang Tuyên
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Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier
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1990
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László Erdős
Dão Quang Tuyên
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