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1

Nodal length fluctuations for arithmetic random waves

Krishnapur, Manjunath, Kurlberg, Pär, Wigman, Igor

Journal:

Annals of Mathematics

Year:

2013

Language:

english

File:

PDF, 568 KB

english, 2013

2

On the Distribution of Matrix Elements for the Quantum Cat Map

Pär Kurlberg and Zeév Rudnick

Journal:

Annals of Mathematics

Year:

2005

Language:

english

File:

PDF, 563 KB

english, 2005

3

A case of the dynamical Mordell–Lang conjecture

Robert L. Benedetto, Dragos Ghioca, Pär Kurlberg, Thomas J. Tucker

Journal:

Mathematische Annalen

Year:

2012

Language:

english

File:

PDF, 367 KB

english, 2012

4

The distribution of spacings between quadratic residues

Kurlberg, Pär, Rudnick, Zeév

Journal:

Duke Mathematical Journal

Year:

1999

Language:

english

File:

PDF, 178 KB

english, 1999

5

On a Character Sum Problem of Cohn

Journal:

Journal of Number Theory

Year:

2002

Language:

english

File:

PDF, 92 KB

english, 2002

6

Poisson statistics via the Chinese Remainder Theorem

Andrew Granville, Pär Kurlberg

Journal:

Advances in Mathematics

Year:

2008

Language:

english

File:

PDF, 291 KB

english, 2008

7

The fluctuations in the number of points on a hyperelliptic curve over a finite field

Pär Kurlberg, Zeév Rudnick

Journal:

Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 156 KB

english, 2009

8

A local Riemann hypothesis, I

Daniel Bump, Kwok-Kwong Choi, Pär Kurlberg, Jeffrey Vaaler

Journal:

Mathematische Zeitschrift

Year:

2000

Language:

english

File:

PDF, 153 KB

english, 2000

9

A local Riemann hypothesis, II

Journal:

Mathematische Zeitschrift

Year:

2000

Language:

english

File:

PDF, 147 KB

english, 2000

10

Periods of rational maps modulo primes

Benedetto, Robert L., Ghioca, Dragos, Hutz, Benjamin, Kurlberg, Pär, Scanlon, Thomas, Tucker, Thomas J.

Journal:

Mathematische Annalen

Year:

2013

Language:

english

File:

PDF, 642 KB

english, 2013

11

A gap principle for dynamics

Benedetto, Robert L., Ghioca, Dragos, Kurlberg, Pär, Tucker, Thomas J.

Journal:

Compositio Mathematica

Year:

2010

Language:

english

File:

PDF, 731 KB

english, 2010

12

Quantum Ergodicity for Point Scatterers on Arithmetic Tori

Kurlberg, Pär, Ueberschär, Henrik

Journal:

Geometric And Functional Analysis

Year:

2014

Language:

english

File:

PDF, 363 KB

english, 2014

13

POISSON SPACING STATISTICS FOR VALUE SETS OF POLYNOMIALS

Journal:

International Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 339 KB

english, 2009

14

On probability measures arising from lattice points on circles

Kurlberg, Pär, Wigman, Igor

Journal:

Mathematische Annalen

Year:

2017

Language:

english

File:

PDF, 1.99 MB

english, 2017

15

On a problem of Arnold: The average multiplicative order of a given integer

Kurlberg, Pär, Pomerance, Carl

Journal:

Algebra & Number Theory

Year:

2013

Language:

english

File:

PDF, 940 KB

english, 2013

16

Variation of the Nazarov–Sodin constant for random plane waves and arithmetic random waves

Kurlberg, Pär, Wigman, Igor

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 3.82 MB

english, 2018

17

On the free path length distribution for linear motion in an n-dimensional box

Holmin, Samuel, Kurlberg, Par, Månsson, Daniel

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2018

Language:

english

File:

PDF, 552 KB

english, 2018

18

Bounds on Supremum Norms for Hecke Eigenfunctions of Quantized Cat Maps

Journal:

Annales Henri Poincaré

Year:

2007

Language:

english

File:

PDF, 214 KB

english, 2007

19

On Quantum Ergodicity for Linear Maps of the Torus

Pär Kurlberg, Zeév Rudnick

Journal:

Communications in Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 180 KB

english, 2001

20

Lattice points on circles and discrete velocity models for the Boltzmann equation

Fainsilber, Laura, Kurlberg, Pär, Wennberg, Bernt

Journal:

SIAM Journal on Mathematical Analysis

Year:

2006

Language:

english

File:

PDF, 7.34 MB

english, 2006

21

Non-universality of the Nazarov–Sodin constant

Kurlberg, Pär, Wigman, Igor

Journal:

Comptes Rendus Mathematique

Year:

2015

Language:

english

File:

PDF, 329 KB

english, 2015

22

Matrix elements for the quantum cat map: fluctuations in short windows

Kurlberg, Pär, Rosenzweig, Lior, Rudnick, Zeév

Journal:

Year:

2007

Language:

english

File:

PDF, 348 KB

english, 2007

23

10.1155/S1073792801000472

Kurlberg, Pär, Rudnick, Zeév

Journal:

International Mathematics Research Notices

Year:

2001

Language:

english

File:

PDF, 177 KB

english, 2001

24

Evidence for the Dynamical Brauer–Manin Criterion

Amerik, Ekaterina, Kurlberg, Pär, Nguyen, Khoa D., Towsley, Adam, Viray, Bianca, Voloch, José Felipe

Journal:

Experimental Mathematics

Year:

2016

Language:

english

File:

PDF, 513 KB

english, 2016

25

Wreath Products and Proportions of Periodic Points

Juul, Jamie, Kurlberg, Pär, Madhu, Kalyani, Tucker, Tom J.

Journal:

International Mathematics Research Notices

Year:

2015

Language:

english

File:

PDF, 267 KB

english, 2015

26

The distribution of spacings between quadratic residues, II

Journal:

Israel Journal of Mathematics

Year:

2000

Language:

english

File:

PDF, 252 KB

english, 2000

27

Superscars for Arithmetic Toral Point Scatterers

Pär Kurlberg,Lior Rosenzweig

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 763 KB

english, 2017

28

On the fixed points of the map x ↦ x x modulo a prime, II

Felix, Adam Tyler, Kurlberg, Pär

Journal:

Finite Fields and Their Applications

Year:

2017

Language:

english

File:

PDF, 702 KB

english, 2017

29

Superscars in the Šeba billiard

Kurlberg, Pär, Ueberschär, Henrik

Journal:

Journal of the European Mathematical Society

Year:

2017

Language:

english

File:

PDF, 169 KB

english, 2017

30

A note on multiplicative automatic sequences

Klurman, Oleksiy, Kurlberg, Pär

Journal:

Comptes Rendus Mathematique

Year:

2019

Language:

english

File:

PDF, 326 KB

english, 2019