1

The distribution of the zeros of random trigonometric polynomials

Granville, Andrew, Wigman, Igor
Journal:
American Journal of Mathematics
Year:
2011
Language:
english
File:
PDF, 628 KB
english, 2011
2

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
4

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
6

Nodal intersections for random eigenfunctions on the torus

Rudnick, Zéev, Wigman, Igor
Journal:
American Journal of Mathematics
Year:
2016
Language:
english
File:
PDF, 512 KB
english, 2016
7

On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus

Zeév Rudnick, Igor Wigman
Journal:
Annales Henri Poincaré
Year:
2008
Language:
english
File:
PDF, 302 KB
english, 2008
8

Fluctuations of the Nodal Length of Random Spherical Harmonics

Igor Wigman
Journal:
Communications in Mathematical Physics
Year:
2010
Language:
english
File:
PDF, 494 KB
english, 2010
9

Erratum to: Fluctuations of the Nodal Length of Random Spherical Harmonics

Igor Wigman
Journal:
Communications in Mathematical Physics
Year:
2012
Language:
english
File:
PDF, 102 KB
english, 2012
10

Counting Singular Matrices with Primitive Row Vectors

Igor Wigman
Journal:
Monatshefte für Mathematik
Year:
2005
Language:
english
File:
PDF, 129 KB
english, 2005
11

Scalar Curvature andQ-Curvature of Random Metrics

Canzani, Yaiza, Jakobson, Dmitry, Wigman, Igor
Journal:
Journal of Geometric Analysis
Year:
2014
Language:
english
File:
PDF, 559 KB
english, 2014
12

On Nonlinear Functionals of Random Spherical Eigenfunctions

Marinucci, Domenico, Wigman, Igor
Journal:
Communications in Mathematical Physics
Year:
2014
Language:
english
File:
PDF, 336 KB
english, 2014
13

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
14

On the distribution of the nodal sets of random spherical harmonics

Wigman, Igor
Journal:
Journal of Mathematical Physics
Year:
2009
Language:
english
File:
PDF, 609 KB
english, 2009
15

On the area of excursion sets of spherical Gaussian eigenfunctions

Marinucci, Domenico, Wigman, Igor
Journal:
Journal of Mathematical Physics
Year:
2011
Language:
english
File:
PDF, 190 KB
english, 2011
16

On the Number of Nodal Domains of Toral Eigenfunctions

Buckley, Jeremiah, Wigman, Igor
Journal:
Annales Henri Poincaré
Year:
2016
Language:
english
File:
PDF, 811 KB
english, 2016
17

The defect variance of random spherical harmonics

Marinucci, Domenico, Wigman, Igor
Journal:
Journal of Physics A Mathematical and Theoretical
Year:
2011
Language:
english
File:
PDF, 192 KB
english, 2011
19

Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions

Granville, Andrew, Wigman, Igor
Journal:
Communications in Mathematical Physics
Year:
2017
Language:
english
File:
PDF, 729 KB
english, 2017
20

Volume distribution of nodal domains of random band-limited functions

Beliaev, Dmitry, Wigman, Igor
Journal:
Probability Theory and Related Fields
Year:
2017
Language:
english
File:
PDF, 675 KB
english, 2017
21

Asymptotic distribution of nodal intersections for arithmetic random waves

Rossi, Maurizia, Wigman, Igor
Journal:
Nonlinearity
Year:
2018
Language:
english
File:
PDF, 2.37 MB
english, 2018
22

Topologies of Nodal Sets of Random Band-Limited Functions

Sarnak, Peter, Wigman, Igor
Journal:
Communications on Pure and Applied Mathematics
Year:
2018
Language:
english
File:
PDF, 732 KB
english, 2018