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Mark J. Crumpton
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All published works
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Title
Year
Authors
+
Mean left-right eigenvector self-overlap in the real Ginibre ensemble
2024
Tim R. Würfel
Mark J. Crumpton
Yan V. Fyodorov
+
PDF
Chat
Spectral density of complex eigenvalues and associated mean eigenvector self-overlaps at the edge of elliptic Ginibre ensembles
2024
Mark J. Crumpton
Tim R. Würfel
+
PDF
Chat
Mean eigenvector self-overlap in the real and complex elliptic Ginibre ensembles at strong and weak non-Hermiticity
2024
Mark J. Crumpton
Yan V. Fyodorov
Tim R. Würfel
+
Competitive exclusion and Hebbian couplings in random generalised Lotka-Volterra systems
2023
Enrique Rozas Garcia
Mark J. Crumpton
Tobias Galla
+
Mean left-right eigenvector self-overlap in the real Ginibre ensemble
2023
Tim R. Würfel
Mark J. Crumpton
Yan V. Fyodorov
+
Statistics of the largest eigenvalues and singular values of low-rank random matrices with non-negative entries
2022
Mark J. Crumpton
Yan V. Fyodorov
Pierpaolo Vivo
Common Coauthors
Coauthor
Papers Together
Yan V. Fyodorov
4
Tim R. Würfel
4
Enrique Rozas Garcia
1
Pierpaolo Vivo
1
Tobias Galla
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Unveiling the significance of eigenvectors in diffusing non-Hermitian matrices by identifying the underlying Burgers dynamics
2015
Z. Burda
Jacek Grela
Maciej A. Nowak
Wojciech Tarnowski
Piotr Warchoł
1
+
The Oxford Handbook of Random Matrix Theory
2015
Gernot Akemann
Jinho Baik
Philippe Di Francesco
1
+
PDF
Chat
How many eigenvalues of a random matrix are real?
1994
Alan Edelman
Eric Kostlan
Michael Shub
1
+
Statistical Ensembles of Complex, Quaternion, and Real Matrices
1965
J. Ginibre
1
+
PDF
Chat
Eigenvector Statistics in Non-Hermitian Random Matrix Ensembles
1998
J. T. Chalker
B. Mehlig
1
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The Probability that a Random Real Gaussian Matrix haskReal Eigenvalues, Related Distributions, and the Circular Law
1997
Alan Edelman
1
+
PDF
Chat
Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics
1997
Yan V. Fyodorov
Boris A. Khoruzhenko
Hans-Jürgen Sommers
1
+
PDF
Chat
Quantum versus classical decay laws in open chaotic systems
1997
Dmitry V. Savin
Valentin V. Sokolov
1
+
PDF
Chat
Eigenvalue Statistics of the Real Ginibre Ensemble
2007
Peter J. Forrester
Taro Nagao
1
+
PDF
Chat
Experimental Width Shift Distribution: A Test of Nonorthogonality for Local and Global Perturbations
2014
Jean-Baptiste Gros
Ulrich Kuhl
Olivier Legrand
Fabrice Mortessagne
Élodie Richalot
Dmitry V. Savin
1
+
PDF
Chat
Non-Hermitian Euclidean random matrix theory
2011
Arthur Goetschy
S. E. Skipetrov
1
+
PDF
Chat
Statistics of resonances and nonorthogonal eigenfunctions in a model for single-channel chaotic scattering
2002
Yan V. Fyodorov
B. Mehlig
1
+
PDF
Chat
Quantum-limited linewidth of a chaotic laser cavity
2000
M. Patra
Henning Schomerus
C. W. J. Beenakker
1
+
PDF
Chat
Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
1997
Yan V. Fyodorov
Hans-Jürgen Sommers
1
+
PDF
Chat
Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
2000
B. Mehlig
J. T. Chalker
1
+
PDF
Chat
Correlations of eigenvectors for non-Hermitian random-matrix models
1999
Romuald A. Janik
W. Nörenberg
Maciej A. Nowak
Gábor Papp
Ismaïl Zahed
1
+
PDF
Chat
Universal eigenvector statistics in a quantum scattering ensemble
2001
B. Mehlig
Mark Santer
1
+
PDF
Chat
Quantum limit of the laser line width in chaotic cavities and statistics of residues of scattering matrix poles
2000
Henning Schomerus
Klaus M. Frahm
M. Patra
C. W. J. Beenakker
1
+
PDF
Chat
Statistics of Resonance Width Shifts as a Signature of Eigenfunction Nonorthogonality
2012
Yan V. Fyodorov
Dmitry V. Savin
1
+
PDF
Chat
Dysonian Dynamics of the Ginibre Ensemble
2014
Z. Burda
Jacek Grela
Maciej A. Nowak
Wojciech Tarnowski
Piotr Warchoł
1
+
PDF
Chat
Eigenvector statistics of the product of Ginibre matrices
2017
Z. Burda
B.J. Spisak
Pierpaolo Vivo
1
+
PDF
Chat
What drives transient behavior in complex systems?
2017
Jacek Grela
1
+
PDF
Chat
Correlations between synapses in pairs of neurons slow down dynamics in randomly connected neural networks
2018
Daniel Martí
Nicolas Brunel
Srdjan Ostojic
1
+
PDF
Chat
The distribution of overlaps between eigenvectors of Ginibre matrices
2019
Paul Bourgade
Guillaume Dubach
1
+
PDF
Chat
Eigenvector correlations in the complex Ginibre ensemble
2022
Nicholas Crawford
Ron Rosenthal
1
+
Eigenvectors of non normal random matrices
2018
Florent Benaych-Georges
Ofer Zeitouni
1
+
PDF
Chat
On the determinantal structure of conditional overlaps for the complex Ginibre ensemble
2019
Gernot Akemann
Roger Tribe
Athanasios Tsareas
Oleg Zaboronski
1
+
PDF
Chat
Condition Numbers for Real Eigenvalues in the Real Elliptic Gaussian Ensemble
2020
Yan V. Fyodorov
Wojciech Tarnowski
1
+
PDF
Chat
From Synaptic Interactions to Collective Dynamics in Random Neuronal Networks Models: Critical Role of Eigenvectors and Transient Behavior
2019
Ewa Gudowska–Nowak
Maciej A. Nowak
Dante R. Chialvo
Jeremi K. Ochab
Wojciech Tarnowski
1
+
PDF
Chat
Eigenvalue Attraction
2015
Ramis Movassagh
1
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Eigenvalue processes of Elliptic Ginibre Ensemble and their overlaps
2020
Satoshi Yabuoku
1
+
PDF
Chat
Randomly coupled differential equations with elliptic correlations
2023
László Erdős
Torben Krüger
David Renfrew
1
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PDF
Chat
Probing nonorthogonality of eigenfunctions and its impact on transport through open systems
2019
Matthieu Davy
Azriel Z. Genack
1
+
PDF
Chat
On Statistics of Bi-Orthogonal Eigenvectors in Real and Complex Ginibre Ensembles: Combining Partial Schur Decomposition with Supersymmetry
2018
Yan V. Fyodorov
1
+
PDF
Chat
Universal transient behavior in large dynamical systems on networks
2020
Wojciech Tarnowski
Izaak Neri
Pierpaolo Vivo
1
+
PDF
Chat
Full Dysonian dynamics of the complex Ginibre ensemble
2018
Jacek Grela
Piotr Warchoł
1
+
PDF
Chat
Selectively exciting quasi-normal modes in open disordered systems
2018
Matthieu Davy
Azriel Z. Genack
1
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Universal eigenvector correlations in quaternionic Ginibre ensembles
2020
Gernot Akemann
Yanik-Pascal Förster
Mario Kieburg
1
+
PDF
Chat
Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
2016
Serban T. Belinschi
Maciej A. Nowak
Roland Speicher
Wojciech Tarnowski
1
+
PDF
Chat
Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities
2022
Yan V. Fyodorov
Mohammed E. Osman
1
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PDF
Chat
On the Condition Number of the Shifted Real Ginibre Ensemble
2022
Giorgio Cipolloni
László Erdős
Dominik Schröder
1
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PDF
Chat
Gaussian Regularization of the Pseudospectrum and Davies’ Conjecture
2021
Jess Banks
Archit Kulkarni
Satyaki Mukherjee
Nikhil Srivastava
1
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PDF
Chat
On eigenvector statistics in the spherical and truncated unitary ensembles
2021
Guillaume Dubach
1
+
PDF
Chat
Explicit formulas concerning eigenvectors of weakly non-unitary matrices
2023
Guillaume Dubach
1
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On the real Davies’ conjecture
2021
Vishesh Jain
Ashwin Sah
Mehtaab Sawhney
1
+
Circular Law
1985
Vyacheslav L. Girko
1
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Interaction patterns and diversity in assembled ecological communities
2016
Guy Bunin
1
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PDF
Chat
Entanglement Entropy of Non-Hermitian Eigenstates and the Ginibre Ensemble
2023
Giorgio Cipolloni
Jonah Kudler-Flam
1