+
PDF
Chat
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The density conjecture for Juddian points for the quantum Rabi model
|
2025
|
R. Kumar
Zeév Rudnick
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PDF
Chat
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On quantum ergodicity for higher dimensional cat maps
|
2024
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Pär Kurlberg
Alina Ostafe
Zeév Rudnick
Igor E. Shparlinski
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+
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On a family of sparse exponential sums
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2024
|
Moubariz Z. Garaev
Zeév Rudnick
Igor E. Shparlinski
|
+
PDF
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The quantum Rabi model: Towards Braak's conjecture
|
2024
|
Zeév Rudnick
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+
PDF
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Zeros of modular forms and Faber polynomials
|
2024
|
Zeév Rudnick
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+
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On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus
|
2023
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Zeév Rudnick
Igor Wigman
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+
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GOE statistics on the moduli space of surfaces of large genus
|
2023
|
Zeév Rudnick
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+
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On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus
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2023
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Zeév Rudnick
Igor Wigman
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+
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Almost sure GOE fluctuations of energy levels for hyperbolic surfaces of high genus
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2023
|
Zeév Rudnick
Igor Wigman
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+
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Zeros of modular forms and Faber polynomials
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2023
|
Zeév Rudnick
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+
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On a family of sparse exponential sums
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2023
|
Moubariz Z. Garaev
Zeév Rudnick
Igor E. Shparlinski
|
+
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The Quantum Rabi model: Towards Braak's conjecture
|
2023
|
Zeév Rudnick
|
+
PDF
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The metric theory of the pair correlation function for small non‐integer powers
|
2022
|
Zeév Rudnick
Niclas Technau
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+
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On the Robin spectrum for the equilateral triangle*
|
2022
|
Zeév Rudnick
Igor Wigman
|
+
PDF
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Introduction to the Special Issue: In memory of Jean Bourgain
|
2022
|
Semyon Dyatlov
Svetlana Jitomirskaya
Zeév Rudnick
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+
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GOE statistics on the moduli space of surfaces of large genus
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2022
|
Zeév Rudnick
|
+
PDF
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Differences Between Robin and Neumann Eigenvalues
|
2021
|
Zeév Rudnick
Igor Wigman
Nadav Yesha
|
+
PDF
Chat
|
The Robin problem on rectangles
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2021
|
Zeév Rudnick
Igor Wigman
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+
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On the sum of digits of $1/M$ in $\mathbb{F}_q[x]$
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2021
|
Zeév Rudnick
|
+
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The Robin problem on rectangles
|
2021
|
Zeév Rudnick
Igor Wigman
|
+
PDF
Chat
|
Pair arithmetical equivalence for quadratic fields
|
2021
|
Wen-Ching Winnie Li
Zeév Rudnick
|
+
PDF
Chat
|
On the Robin spectrum for the hemisphere
|
2021
|
Zeév Rudnick
Igor Wigman
|
+
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The metric theory of the pair correlation function for small non-integer powers
|
2021
|
Zeév Rudnick
Niclas Technau
|
+
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On the sum of digits of $1/M$ in $\mathbb{F}_q[x]$
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2021
|
Zeév Rudnick
|
+
PDF
Chat
|
On Cilleruelo’s conjecture for the least common multiple of polynomial sequences
|
2020
|
Zeév Rudnick
Sa’ar Zehavi
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+
PDF
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Points on nodal lines with given direction
|
2020
|
Zeév Rudnick
Igor Wigman
|
+
PDF
Chat
|
The metric theory of the pair correlation function of real-valued lacunary sequences
|
2020
|
Zeév Rudnick
Niclas Technau
|
+
PDF
|
Modelling the expected probability of correct assignment under uncertainty
|
2020
|
Tom Dvir
Renana Peres
Zeév Rudnick
|
+
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On the Robin spectrum for the hemisphere
|
2020
|
Zeév Rudnick
Igor Wigman
|
+
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Differences between Robin and Neumann eigenvalues
|
2020
|
Zeév Rudnick
Igor Wigman
Nadav Yesha
|
+
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Modelling the expected probability of correct assignment under uncertainty
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2020
|
Tom Dvir
Renana Peres
Zeév Rudnick
|
+
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Pair arithmetical equivalence for quadratic fields
|
2020
|
Wen-Ching Winnie Li
Zeév Rudnick
|
+
PDF
Chat
|
Gaussian primes in almost all narrow sectors
|
2020
|
Bingrong Huang
Jianya Liu
Zeév Rudnick
|
+
PDF
|
Modelling the Expected Probability of Correct Assignment Under Uncertainty
|
2020
|
Tom Dvir
Renana Peres
Zeév Rudnick
|
+
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On the Robin spectrum for the hemisphere
|
2020
|
Zeév Rudnick
Igor Wigman
|
+
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Pair arithmetical equivalence for quadratic fields
|
2020
|
Wen-Ching Winnie Li
Zeév Rudnick
|
+
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Angles of Gaussian primes
|
2019
|
Zeév Rudnick
Ezra Waxman
|
+
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On Cilleruelo's conjecture for the least common multiple of polynomial sequences
|
2019
|
Zeév Rudnick
Sa’ar Zehavi
|
+
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Gaussian primes in almost all narrow sectors
|
2019
|
Bingrong Huang
Jianya Liu
Zeév Rudnick
|
+
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A lower bound on the LCM of polynomial sequences
|
2019
|
James Maynard
Zeév Rudnick
|
+
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On Cilleruelo's conjecture for the least common multiple of polynomial sequences
|
2019
|
Zeév Rudnick
Sa’ar Zehavi
|
+
PDF
Chat
|
Prime lattice points in ovals
|
2018
|
Bingrong Huang
Zeév Rudnick
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+
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On locally repeated values of arithmetic functions over Fq[T]
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2018
|
Zeév Rudnick
Ron Peled
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+
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Points on nodal lines with given direction.
|
2018
|
Zeév Rudnick
Igor Wigman
|
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PDF
Chat
|
A METRIC THEORY OF MINIMAL GAPS
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2018
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Zeév Rudnick
|
+
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On locally repeated values of arithmetic functions over $\mathbb F_q[T]$
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2018
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Zeév Rudnick
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+
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Points on nodal lines with given direction
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2018
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Zeév Rudnick
Igor Wigman
|
+
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Spatial statistics for lattice points on the sphere I: Individual results
|
2017
|
Jean Bourgain
Zeév Rudnick
Peter Sarnak
|
+
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Angles of Gaussian primes.
|
2017
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Zeév Rudnick
Ezra Waxman
|
+
PDF
Chat
|
Sums of divisor functions in $$\mathbb {F}_q[t]$$ F q [ t ] and matrix integrals
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2017
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Jonathan P. Keating
Brian Rodgers
Edva Roditty-Gershon
Zeév Rudnick
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+
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Small gaps in the spectrum of the rectangular billiard
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2017
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Valentin Blomer
Jean Bourgain
Maksym Radziwiłł
Zeév Rudnick
|
+
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Small gaps in the spectrum of the rectangular billiard
|
2017
|
Valentin Blomer
Jean Bourgain
Maksym Radziwiłł
Zeév Rudnick
|
+
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Angles of Gaussian primes
|
2017
|
Zeév Rudnick
Ezra Waxman
|
+
PDF
Chat
|
Small Scale Equidistribution of Eigenfunctions on the Torus
|
2016
|
Stephen Lester
Zeév Rudnick
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Spatial statistics for lattice points on the sphere I: Individual results
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2016
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Jean Bourgain
Zeév Rudnick
Peter Sarnak
|
+
PDF
|
Squarefree polynomials and Möbius values in short intervals and arithmetic progressions
|
2016
|
Jonathan P. Keating
Zeév Rudnick
|
+
PDF
|
Local Statistics of Lattice Points on the Sphere
|
2016
|
Jean Bourgain
Peter Sarnak
Zeév Rudnick
|
+
PDF
|
Nodal intersections for random eigenfunctions on the torus
|
2016
|
Zeév Rudnick
Igor Wigman
|
+
PDF
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Nodal intersections for random waves on the 3-dimensional torus
|
2016
|
Zeév Rudnick
Igor Wigman
Nadav Yesha
|
+
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Spatial statistics for lattice points on the sphere I: Individual results
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2016
|
Jean Bourgain
Zeév Rudnick
Peter Sarnak
|
+
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Small gaps in the spectrum of the rectangular billiard
|
2016
|
Valentin Blomer
Jean Bourgain
Maksym Radziwiłł
Zeév Rudnick
|
+
PDF
Chat
|
Nodal intersections and L p restriction theorems on the torus
|
2015
|
Jean Bourgain
Zeév Rudnick
|
+
PDF
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Number fields and function fields: coalescences, contrasts and emerging applications
|
2015
|
Jonathan P. Keating
Zeév Rudnick
Trevor D. Wooley
|
+
PDF
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Shifted convolution and the Titchmarsh divisor problem over 𝔽<sub><i>q</i></sub>[<i>t</i>]
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2015
|
Julio Andrade
Lior Bary‐Soroker
Zeév Rudnick
|
+
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Nodal intersections for random waves on the 3-dimensional torus
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2015
|
Zeév Rudnick
Igor Wigman
Nadav Yesha
|
+
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Some problems in analytic number theory for polynomials over a finite field
|
2015
|
Zeév Rudnick
|
+
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Gap Distributions in Circle Packings
|
2015
|
Zeév Rudnick
Xin Zhang
|
+
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Nodal intersections for random waves on the 3-dimensional torus
|
2015
|
Zeév Rudnick
Igor Wigman
Nadav Yesha
|
+
|
Nodal intersections for random eigenfunctions on the torus
|
2014
|
Zeév Rudnick
Igor Wigman
|
+
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Nodal intersections for random eigenfunctions on the torus
|
2014
|
Zeév Rudnick
Igor Wigman
|
+
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Square-free values of polynomials over the rational function field
|
2013
|
Zeév Rudnick
|
+
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Nodal intersections and Lp restriction theorems on the torus
|
2013
|
Jean Bourgain
Zeév Rudnick
|
+
PDF
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On the Eigenvalue Spacing Distribution for a Point Scatterer on the Flat Torus
|
2013
|
Zeév Rudnick
Henrik Ueberschär
|
+
PDF
Chat
|
Low-lying Zeros of Quadratic Dirichlet L-Functions, Hyper-elliptic Curves and Random Matrix Theory
|
2013
|
Alexei Entin
Edva Roditty-Gershon
Zeév Rudnick
|
+
PDF
Chat
|
THE AUTOCORRELATION OF THE MOBIUS FUNCTION AND CHOWLA'S CONJECTURE FOR THE RATIONAL FUNCTION FIELD
|
2013
|
Dan Carmon
Zeév Rudnick
|
+
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Nodal intersections and Lp restriction theorems on the torus
|
2013
|
Jean Bourgain
Zeév Rudnick
|
+
|
Squarefree values of polynomials over the rational function field
|
2012
|
Zeév Rudnick
|
+
PDF
Chat
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The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes
|
2012
|
Jonathan P. Keating
Zeév Rudnick
|
+
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Low-lying zeros of quadratic Dirichlet L-functions, hyper-elliptic curves and Random Matrix Theory
|
2012
|
Alexei Entin
Edva Roditty-Gershon
Zeév Rudnick
|
+
PDF
Chat
|
Statistics of Wave Functions for a Point Scatterer on the Torus
|
2012
|
Zeév Rudnick
Henrik Ueberschär
|
+
PDF
Chat
|
Restriction of toral eigenfunctions to hypersurfaces and nodal sets
|
2012
|
Jean Bourgain
Zeév Rudnick
|
+
PDF
|
Almost all eigenfunctions of a rational polygon are uniformly distributed
|
2012
|
Jens Marklof
Zeév Rudnick
|
+
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The variance of the number of prime polynomials in short intervals and in residue classes
|
2012
|
Jonathan P. Keating
Zeév Rudnick
|
+
|
The autocorrelation of the Mobius function and Chowla's conjecture for the rational function field
|
2012
|
Dan Carmon
Zeév Rudnick
|
+
|
Local statistics of lattice points on the sphere
|
2012
|
Jean Bourgain
Peter Sarnak
Zeév Rudnick
|
+
|
Squarefree values of polynomials over the rational function field
|
2012
|
Zeév Rudnick
|
+
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Low-lying zeros of quadratic Dirichlet L-functions, hyper-elliptic curves and Random Matrix Theory
|
2012
|
Alexei Entin
Edva Roditty-Gershon
Zeév Rudnick
|
+
|
Almost all eigenfunctions of a rational polygon are uniformly distributed
|
2011
|
Jens Marklof
Zeév Rudnick
|
+
|
Restriction of toral eigenfunctions to hypersurfaces and nodal sets
|
2011
|
Jean Bourgain
Zeév Rudnick
|
+
PDF
|
On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus
|
2011
|
Jean Bourgain
Zeév Rudnick
|
+
|
Restriction of toral eigenfunctions to hypersurfaces and nodal sets
|
2011
|
Jean Bourgain
Zeév Rudnick
|
+
|
Almost all eigenfunctions of a rational polygon are uniformly distributed
|
2011
|
Jens Marklof
Zeév Rudnick
|
+
PDF
Chat
|
On the nodal sets of toral eigenfunctions
|
2010
|
Jean Bourgain
Zeév Rudnick
|
+
PDF
|
Traces of high powers of the Frobenius class in the hyperelliptic ensemble
|
2010
|
Zeév Rudnick
|
+
PDF
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Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field
|
2009
|
Dmitry Faifman
Zeév Rudnick
|
+
PDF
|
Restriction of toral eigenfunctions to hypersurfaces
|
2009
|
Jean Bourgain
Zeév Rudnick
|
+
|
Restriction of toral eigenfunctions to hypersurfaces
|
2009
|
Jean Bourgain
Zeév Rudnick
|
+
PDF
Chat
|
On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces
|
2009
|
Morten S. Risager
Zeév Rudnick
|
+
PDF
Chat
|
The variance of arithmetic measures associated to closed geodesics on the modular surface
|
2009
|
Wenzhi Luo
Zeév Rudnick
Peter Sarnak
|
+
|
The fluctuations in the number of points on a hyperelliptic curve over a finite field
|
2008
|
Pär Kurlberg
Zeév Rudnick
|
+
PDF
|
On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus
|
2008
|
Zeév Rudnick
Igor Wigman
|
+
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The fluctuations in the number of points on a hyperelliptic curve over a finite field
|
2008
|
Pär Kurlberg
Zeév Rudnick
|
+
|
The variance of arithmetic measures associated to closed geodesics on the modular surface
|
2008
|
Wenzhi Luo
Zeév Rudnick
Peter Sarnak
|
+
|
Traces of high powers of the Frobenius class in the hyperelliptic ensemble
|
2008
|
Zeév Rudnick
|
+
PDF
|
The Leray measure of nodal sets for random eigenfunctions on the torus
|
2008
|
Ferenc Oravecz
Zeév Rudnick
Igor Wigman
|
+
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Matrix elements for the quantum cat map: fluctuations in short windows
|
2007
|
Pär Kurlberg
Lior Rosenzweig
Zeév Rudnick
|
+
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On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces
|
2007
|
Morten S. Risager
Zeév Rudnick
|
+
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Equidistribution of the real part of orbits in hyperbolic spaces
|
2007
|
Morten S. Risager
Zeév Rudnick
|
+
|
THE ARITHMETIC THEORY OF QUANTUM MAPS
|
2007
|
Zeév Rudnick
|
+
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TORSION POINTS ON CURVES
|
2007
|
Andrew Granville
Zeév Rudnick
|
+
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Matrix elements for the quantum cat map: Fluctuations in short windows
|
2007
|
Pär Kurlberg
Lior Rosenzweig
Zeév Rudnick
|
+
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On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces
|
2007
|
Morten S. Risager
Zeév Rudnick
|
+
|
Nodal sets for random eigenfunctions on the torus
|
2006
|
Ferenc Oravecz
Zeév Rudnick
Igor Wigman
|
+
|
Lower bounds for moments of L-functions: symplectic and orthogonal examples
|
2006
|
Zeév Rudnick
K. Soundararajan
|
+
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The Leray measure of nodal sets for random eigenfunctions on the torus
|
2006
|
Ferenc Oravecz
Zeév Rudnick
Igor Wigman
|
+
|
Equidistribution in Number Theory, An Introduction
|
2006
|
Andrew Granville
Zeév Rudnick
|
+
PDF
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A Central Limit Theorem for the Spectrum of the Modular Domain
|
2005
|
Zeév Rudnick
|
+
PDF
Chat
|
Lower bounds for moments of <i>L</i> -functions
|
2005
|
Zeév Rudnick
K. Soundararajan
|
+
PDF
|
On the distribution of matrix elements for the quantum cat map
|
2005
|
Pär Kurlberg
Zeév Rudnick
|
+
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None
|
2005
|
Zeév Rudnick
|
+
|
On the asymptotic distribution of zeros of modular forms
|
2005
|
Zeév Rudnick
|
+
PDF
Chat
|
Stable mixing for cat maps and quasi-morphisms of the modular group
|
2004
|
Leonid Polterovich
Zeév Rudnick
|
+
PDF
|
Torsion points on curves and common divisors of a<sup>k</sup>-1 and b<sup>k</sup>-1
|
2004
|
Nir Ailon
Zeév Rudnick
|
+
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None
|
2003
|
C. Hughes
Zeév Rudnick
|
+
PDF
Chat
|
Random matrix theory, the exceptional Lie groups and<i>L</i>-functions
|
2003
|
Jon P Keating
Noah Linden
Zeév Rudnick
|
+
PDF
Chat
|
Mock-Gaussian behaviour for linear statistics of classical compact groups
|
2003
|
C. P. Hughes
Zeév Rudnick
|
+
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On the distribution of lattice points in thin annuli
|
2003
|
C. P. Hughes
Zeév Rudnick
|
+
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On the distribution of matrix elements for the quantum cat map
|
2003
|
Pär Kurlberg
Zeév Rudnick
|
+
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Eigenvalue spacings for regular graphs
|
2003
|
Dmitry Jakobson
Stephen D. Miller
Igor Rivin
Zeév Rudnick
|
+
PDF
Chat
|
Linear statistics for zeros of Riemann's zeta function
|
2002
|
C. P. Hughes
Zeév Rudnick
|
+
PDF
Chat
|
The distribution of spacings between fractional parts of lacunary sequences
|
2002
|
Zeév Rudnick
Alexandru Zaharescu
|
+
|
Linear statistics for zeros of Riemann's zeta function
|
2002
|
C. P. Hughes
Zeév Rudnick
|
+
|
Torsion points on curves and common divisors of a^k-1 and b^k-1
|
2002
|
Nir Ailon
Zeév Rudnick
|
+
|
Linear statistics of low-lying zeros of L--functions
|
2002
|
C. P. Hughes
Zeév Rudnick
|
+
PDF
Chat
|
Kick stability in groups and dynamical systems
|
2001
|
Leonid Polterovich
Zeév Rudnick
|
+
PDF
Chat
|
The distribution of spacings between the fractional parts of n 2 α
|
2001
|
Zeév Rudnick
Peter Sarnak
Alexandru Zaharescu
|
+
PDF
|
On Quantum Unique Ergodicity for Linear Maps of the Torus
|
2001
|
Zeév Rudnick
|
+
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None
|
2001
|
Pär Kurlberg
Zeév Rudnick
|
+
|
Value distribution for eigenfunctions of desymmetrized quantum maps
|
2001
|
Pär Kurlberg
Zeév Rudnick
|
+
PDF
Chat
|
Quantum unique ergodicity for parabolic maps
|
2000
|
Jens Marklof
Zeév Rudnick
|
+
|
The distribution of spacings between small powers of a primitive root
|
2000
|
Zeév Rudnick
Alexandru Zaharescu
|
+
PDF
Chat
|
Hecke theory and equidistribution for the quantization of linear maps of the torus
|
2000
|
Pär Kurlberg
Zeév Rudnick
|
+
|
Stable mixing for cat maps and quasi-morphisms of the modular group
|
2000
|
Leonid Polterovich
Zeév Rudnick
|
+
PDF
Chat
|
Quantum unique ergodicity for parabolic maps
|
2000
|
Jens Marklof
Zeév Rudnick
|
+
PDF
Chat
|
The distribution of spacings between quadratic residues
|
1999
|
Pär Kurlberg
Zeév Rudnick
|
+
|
Eigenfunctions of the Quantized Cat Map
|
1999
|
Pär Kurlberg
Zeév Rudnick
|
+
PDF
|
Eigenvalue Spacings for Regular Graphs
|
1999
|
Dmitry Jakobson
Stephen D. Miller
Igor Rivin
Zeév Rudnick
|
+
|
The distribution of spacings between fractional parts of lacunary sequences
|
1999
|
Zeév Rudnick
Alexandru Zaharescu
|
+
|
Hecke theory and equidistribution for the quantization of linear maps of the torus
|
1999
|
Pär Kurlberg
Zeév Rudnick
|
+
|
On quantum ergodicity for linear maps of the torus
|
1999
|
Pär Kurlberg
Zeév Rudnick
|
+
|
On the generalized Ramanujan conjecture for 𝐺𝐿(𝑛)
|
1999
|
Wenzhi Luo
Zeév Rudnick
Peter Sarnak
|
+
PDF
|
A metric result on the pair correlation of fractional parts of sequences
|
1999
|
Zeév Rudnick
Alexandru Zaharescu
|
+
PDF
|
Stable multiplicities in the length spectrum of Riemann surfaces
|
1998
|
David Ginzburg
Zeév Rudnick
|
+
|
The distribution of spacings between quadratic residues
|
1998
|
Pär Kurlberg
Zeév Rudnick
|
+
|
Zeros of principal L-functions and random matrix theory
|
1996
|
Zeév Rudnick
Peter Sarnak
|
+
|
On Selberg’s Eigenvalue Conjecture
|
1995
|
Wenzhi Luo
Zeév Rudnick
Peter Sarnak
|
+
|
Betti numbers of congruence groups
|
1994
|
Peter Sarnak
Scot Adams
Zeév Rudnick
|
+
|
The Circle Problem in the Hyperbolic Plane
|
1994
|
Ralph S. Phillips
Zeév Rudnick
|
+
PDF
|
The behaviour of eigenstates of arithmetic hyperbolic manifolds
|
1994
|
Zeév Rudnick
Peter Sarnak
|
+
|
The n-level correlations of zeros of the zeta function
|
1994
|
Zeév Rudnick
Peter Sarnak
|
+
PDF
|
Density of integer points on affine homogeneous varieties
|
1993
|
William Duke
Zeév Rudnick
Peter Sarnak
|
+
|
Decay of eigenfunctions on semisimple symmetric spaces
|
1991
|
Zeév Rudnick
Henrik Schlichtkrull
|
+
|
None
|
1991
|
Alex Eskin
Zeév Rudnick
Peter Sarnak
|
+
|
Representation varieties of solvable groups
|
1987
|
Zeév Rudnick
|