Igor Wigman

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All published works

Action	Title	Year	Authors
+ PDF	Around the Gauss circle problem: Hardy's conjecture and the distribution of lattice points near circles	2024	Stephen Lester Igor Wigman
+ PDF Chat	The giant component of excursions sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration	2024	Stephen Muirhead Igor Wigman
+	On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus	2023	Zeév Rudnick Igor Wigman
+ PDF	On the nodal structures of random fields: a decade of results	2023	Igor Wigman
+	On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus	2023	Zeév Rudnick Igor Wigman
+	Almost sure GOE fluctuations of energy levels for hyperbolic surfaces of high genus	2023	Zeév Rudnick Igor Wigman
+	Around the Gauss circle problem: Hardy's conjecture and the distribution of lattice points near circles	2023	Stephen Lester Igor Wigman
+	Eigenvalue clusters for the hemisphere Laplacian with variable Robin condition	2023	Alexander Pushnitski Igor Wigman
+ PDF	The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index	2023	Andrea Sartori Igor Wigman
+	On the Robin spectrum for the equilateral triangle*	2022	Zeév Rudnick Igor Wigman
+	On the nodal structures of random fields -- a decade of results	2022	Igor Wigman
+ PDF Chat	On the distribution of lattice points on hyperbolic circles	2021	Dimitrios Chatzakos Pär Kurlberg Stephen Lester Igor Wigman
+ PDF	Differences Between Robin and Neumann Eigenvalues	2021	Zeév Rudnick Igor Wigman Nadav Yesha
+ PDF Chat	The Robin problem on rectangles	2021	Zeév Rudnick Igor Wigman
+ PDF	Russo–Seymour–Welsh estimates for the Kostlan ensemble of random polynomials	2021	D. Beliaev Stephen Muirhead Igor Wigman
+ PDF Chat	On the expected Betti numbers of the nodal set of random fields	2021	Igor Wigman
+	The defect of toral Laplace eigenfunctions and arithmetic random waves	2021	Pär Kurlberg Igor Wigman Nadav Yesha
+	The Robin problem on rectangles	2021	Zeév Rudnick Igor Wigman
+	On the distribution of lattice points on hyperbolic circles	2021	Dimitrios Chatzakos Pär Kurlberg Stephen Lester Igor Wigman
+	Expected nodal volume for non-Gaussian random band-limited functions.	2021	Zakhar Kabluchko Andrea Sartori Igor Wigman
+ PDF	Nodal deficiency of random spherical harmonics in presence of boundary	2021	Valentina Cammarota Domenico Marinucci Igor Wigman
+ PDF Chat	On the Robin spectrum for the hemisphere	2021	Zeév Rudnick Igor Wigman
+	Expected nodal volume for non-Gaussian random band-limited functions	2021	Zakhar Kabluchko Andrea Sartori Igor Wigman
+	Mean conservation of nodal volume and connectivity measures for Gaussian ensembles	2020	Dmitry Beliaev Stephen Muirhead Igor Wigman
+ PDF	Points on nodal lines with given direction	2020	Zeév Rudnick Igor Wigman
+	On the Robin spectrum for the hemisphere	2020	Zeév Rudnick Igor Wigman
+	Differences between Robin and Neumann eigenvalues	2020	Zeév Rudnick Igor Wigman Nadav Yesha
+ PDF Chat	Planck-scale distribution of nodal length of arithmetic random waves	2020	Jacques Benatar Domenico Marinucci Igor Wigman
+ PDF Chat	Asymptotics for the Expected Number of Nodal Components for Random Lemniscates	2020	Zakhar Kabluchko Igor Wigman
+ PDF	Boundary Effect on the Nodal Length for Arithmetic Random Waves, and Spectral Semi-correlations	2020	Valentina Cammarota Oleksiy Klurman Igor Wigman
+	Direction distribution for nodal components of random band-limited functions on surfaces	2020	Suresh Eswarathasan Igor Wigman
+ PDF	The asymptotic equivalence of the sample trispectrum and the nodal length for random spherical harmonics	2020	Domenico Marinucci Maurizia Rossi Igor Wigman
+	No repulsion between critical points for planar Gaussian random fields	2020	Dmitry Beliaev Valentina Cammarota Igor Wigman
+	On the Robin spectrum for the hemisphere	2020	Zeév Rudnick Igor Wigman
+	On the distribution of lattice points on hyperbolic circles	2020	Dimitrios Chatzakos Pär Kurlberg Stephen Lester Igor Wigman
+	No repulsion between critical points for planar Gaussian random fields	2019	Dmitry Beliaev Valentina Cammarota Igor Wigman
+	Asymptotics for the expected number of nodal components for random lemniscates	2019	Zakhar Kabluchko Igor Wigman
+	Mean conservation of nodal volume and connectivity measures for Gaussian ensembles	2019	Dmitry Beliaev Stephen Muirhead Igor Wigman
+ PDF Chat	CENTRAL LIMIT THEOREM FOR PLANCK‐SCALE MASS DISTRIBUTION OF TORAL LAPLACE EIGENFUNCTIONS	2019	Igor Wigman Nadav Yesha
+	No repulsion between critical points for planar Gaussian random fields	2019	Dmitry Beliaev Valentina Cammarota Igor Wigman
+	Asymptotics for the expected number of nodal components for random lemniscates	2019	Zakhar Kabluchko Igor Wigman
+	Mean conservation of nodal volume and connectivity measures for Gaussian ensembles	2019	Dmitry Beliaev Stephen Muirhead Igor Wigman
+ PDF	Topologies of Nodal Sets of Random Band‐Limited Functions	2018	Peter Sarnak Igor Wigman
+ PDF Chat	Asymptotic distribution of nodal intersections for arithmetic random waves	2018	Maurizia Rossi Igor Wigman
+ PDF	Variation of the Nazarov–Sodin constant for random plane waves and arithmetic random waves	2018	Pär Kurlberg Igor Wigman
+	Points on nodal lines with given direction.	2018	Zeév Rudnick Igor Wigman
+	Points on nodal lines with given direction	2018	Zeév Rudnick Igor Wigman
+	CLT for mass distribution of toral Laplace eigenfunctions	2017	Igor Wigman Nadav Yesha
+ PDF	Volume distribution of nodal domains of random band-limited functions	2017	Dmitry Beliaev Igor Wigman
+	Planck-scale distribution of nodal length of arithmetic random waves	2017	Jacques Benatar Domenico Marinucci Igor Wigman
+	Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials	2017	Dmitry Beliaev Stephen Muirhead Igor Wigman
+ PDF	Two Point Function for Critical Points of a Random Plane Wave	2017	Dmitry Beliaev Valentina Cammarota Igor Wigman
+ PDF Chat	Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions	2017	Andrew Granville Igor Wigman
+	Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves	2017	Pär Kurlberg Igor Wigman
+	The Asymptotic Equivalence of the Sample Trispectrum and the Nodal Length for Random Spherical Harmonics	2017	Domenico Marinucci Maurizia Rossi Igor Wigman
+	Two point function for critical points of a random plane wave	2017	Dmitry Beliaev Valentina Cammarota Igor Wigman
+	Fluctuations of the total number of critical points of random spherical harmonics	2017	Valentina Cammarota Igor Wigman
+	The Asymptotic Equivalence of the Sample Trispectrum and the Nodal Length for Random Spherical Harmonics	2017	Domenico Marinucci Maurizia Rossi Igor Wigman
+	Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials	2017	Dmitry Beliaev Stephen Muirhead Igor Wigman
+	Two point function for critical points of a random plane wave	2017	Dmitry Beliaev Valentina Cammarota Igor Wigman
+	Planck-scale distribution of nodal length of arithmetic random waves	2017	Jacques Benatar Domenico Marinucci Igor Wigman
+	Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves	2017	Pär Kurlberg Igor Wigman
+	Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics	2016	Valentina Cammarota Domenico Marinucci Igor Wigman
+	Volume distribution of nodal domains of random band-limited functions	2016	Dmitry Beliaev Igor Wigman
+ PDF	Non-Universality of Nodal Length Distribution for Arithmetic Random Waves	2016	Domenico Marinucci Giovanni Peccati Maurizia Rossi Igor Wigman
+ PDF	On probability measures arising from lattice points on circles	2016	Pär Kurlberg Igor Wigman
+ PDF Chat	On the Number of Nodal Domains of Toral Eigenfunctions	2016	Jeremiah Buckley Igor Wigman
+ PDF	Topologies of nodal sets of random band limited functions	2016	Peter Sarnak Igor Wigman
+ PDF	Nodal intersections for random eigenfunctions on the torus	2016	Zeév Rudnick Igor Wigman
+ PDF	Nodal intersections for random waves on the 3-dimensional torus	2016	Zeév Rudnick Igor Wigman Nadav Yesha
+	Volume distribution of nodal domains of random band-limited functions	2016	Dmitry Beliaev Igor Wigman
+ PDF Chat	On the Distribution of the Critical Values of Random Spherical Harmonics	2015	Valentina Cammarota Domenico Marinucci Igor Wigman
+	Topologies of nodal sets of random band limited functions.	2015	Peter Sarnak Igor Wigman
+	Non-Universality of Nodal Length Distribution for Arithmetic Random Waves	2015	Domenico Marinucci Giovanni Peccati Maurizia Rossi Igor Wigman
+	Nodal intersections for random waves on the 3-dimensional torus	2015	Zeév Rudnick Igor Wigman Nadav Yesha
+	On probability measures arising from lattice points on circles	2015	Pär Kurlberg Igor Wigman
+	Nodal intersections for random waves on the 3-dimensional torus	2015	Zeév Rudnick Igor Wigman Nadav Yesha
+	On probability measures arising from lattice points on circles	2015	Pär Kurlberg Igor Wigman
+	Non-Universality of Nodal Length Distribution for Arithmetic Random Waves	2015	Domenico Marinucci Giovanni Peccati Maurizia Rossi Igor Wigman
+	Topologies of nodal sets of random band limited functions	2015	Peter Sarnak Igor Wigman
+ PDF Chat	Non-universality of the Nazarov–Sodin constant	2014	Pär Kurlberg Igor Wigman
+ PDF Chat	On Nonlinear Functionals of Random Spherical Eigenfunctions	2014	Domenico Marinucci Igor Wigman
+	Nodal intersections for random eigenfunctions on the torus	2014	Zeév Rudnick Igor Wigman
+	Nodal intersections for random eigenfunctions on the torus	2014	Zeév Rudnick Igor Wigman
+ PDF	Scalar Curvature and Q-Curvature of Random Metrics	2013	Yaiza Canzani Dmitry Jakobson Igor Wigman
+ PDF	Nodal length fluctuations for arithmetic random waves	2013	Manjunath Krishnapur Pär Kurlberg Igor Wigman
+	Topologies of nodal sets of random band limited functions	2013	Peter Sarnak Igor Wigman
+	On the nodal lines of random and deterministic Laplace eigenfunctions	2012	Igor Wigman
+	Nodal length fluctuations for arithmetic random waves	2011	Manjunath Krishnapur Pär Kurlberg Igor Wigman
+ PDF Chat	On the area of excursion sets of spherical Gaussian eigenfunctions	2011	Domenico Marinucci Igor Wigman
+ PDF Chat	The defect variance of random spherical harmonics	2011	Domenico Marinucci Igor Wigman
+	The distribution of the zeros of random trigonometric polynomials	2011	Andrew Granville Igor Wigman
+	Nodal length fluctuations for arithmetic random waves	2011	Manjunath Krishnapur Pär Kurlberg Igor Wigman
+	On the nodal lines of random and deterministic Laplace eigenfunctions	2011	Igor Wigman
+ PDF Chat	Gaussian Point Count Statistics for Families of Curves Over a Fixed Finite Field	2010	Pär Kurlberg Igor Wigman
+ PDF	Scalar curvature and $Q$-curvature of random metrics	2010	Igor Wigman Dmitry Jakobson Yaiza Canzani
+ PDF Chat	Fluctuations of the Nodal Length of Random Spherical Harmonics	2010	Igor Wigman
+	Gaussian point count statistics for families of curves Gaussian point count statistics for families of curves over a fixed finite field	2010	Pär Kurlberg Igor Wigman
+	Gaussian point count statistics for families of curves over a fixed finite field	2010	Pär Kurlberg Igor Wigman
+	Scalar curvature and $Q$-curvature of random metrics	2010	Yaiza Canzani Dmitry Jakobson Igor Wigman
+	Scalar curvature and $Q$-curvature of random metrics	2010	Yaiza Canzani Dmitry Jakobson Igor Wigman
+	Gaussian point count statistics for families of curves over a fixed finite field	2010	Pär Kurlberg Igor Wigman
+	Fluctuations of the nodal length of random spherical harmonics	2009	Igor Wigman
+ PDF Chat	Counting Open Nodal Lines of Random Waves on Planar Domains	2009	Juraj Tóth Igor Wigman
+ PDF Chat	On the distribution of the nodal sets of random spherical harmonics	2009	Igor Wigman
+ PDF	On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus	2008	Zeév Rudnick Igor Wigman
+ PDF	The Leray measure of nodal sets for random eigenfunctions on the torus	2008	Ferenc Oravecz Zeév Rudnick Igor Wigman
+	The distribution of the zeroes of random trigonometric polynomials	2008	Andrew Granville Igor Wigman
+	Counting open nodal lines of random waves on planar domains	2008	John A. Toth Igor Wigman
+	Erratum (Statistics of lattice points in thin annuli for generic lattices vol 11, pg 1, 2005)	2007	Igor Wigman
+	Nodal sets for random eigenfunctions on the torus	2006	Ferenc Oravecz Zeév Rudnick Igor Wigman
+	The Leray measure of nodal sets for random eigenfunctions on the torus	2006	Ferenc Oravecz Zeév Rudnick Igor Wigman
+ PDF	Statistics of lattice points in thin annuli for generic lattices	2006	Igor Wigman
+	THE DISTRIBUTION OF LATTICE POINTS IN ELLIPTIC ANNULI	2005	Igor Wigman
+	Statistics of lattice points in thin annuli for generic lattices	2005	Igor Wigman
+ PDF Chat	Counting Singular Matrices with Primitive Row Vectors	2004	Igor Wigman
+	The distribution of lattice points in elliptic annuli	2004	Igor Wigman
+	Counting Singular Matrices with Primitive Row Vectors	2003	Igor Wigman

Common Coauthors

Coauthor	Papers Together
Zeév Rudnick	24
Pär Kurlberg	18
Domenico Marinucci	15
Dmitry Beliaev	14
Valentina Cammarota	11
Nadav Yesha	8
Maurizia Rossi	7
Stephen Muirhead	7
Stephen Lester	5
Peter Sarnak	5
Zakhar Kabluchko	5
Yaiza Canzani	4
Dmitry Jakobson	4
Andrew Granville	3
Ferenc Oravecz	3
Manjunath Krishnapur	3
Jacques Benatar	3
Andrea Sartori	3
Giovanni Peccati	3
Dimitrios Chatzakos	3
D. Beliaev	1
Jeremiah Buckley	1
Oleksiy Klurman	1
Alexander Pushnitski	1
Suresh Eswarathasan	1
Juraj Tóth	1
John A. Toth	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the number of nodal domains of random spherical harmonics	2009	Fëdor Nazarov Mikhail Sodin	25
+ PDF	On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus	2008	Zeév Rudnick Igor Wigman	24
+	The Distribution of the Lattice Points On Circles	1993	Javier Cilleruelo	23
+ PDF	Nodal length fluctuations for arithmetic random waves	2013	Manjunath Krishnapur Pär Kurlberg Igor Wigman	23
+ PDF Chat	Fluctuations of the Nodal Length of Random Spherical Harmonics	2010	Igor Wigman	22
+	Nodal sets of eigenfunctions on Reimannian manifolds	1988	Harold Donnelly Charles Fefferman	19
+ PDF Chat	Percolation Model for Nodal Domains of Chaotic Wave Functions	2002	E. Bogomolny C. Schmit	16
+ PDF Chat	Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions	2016	F. Nazarov Mikhail Sodin	16
+ PDF Chat	On the Distribution of the Critical Values of Random Spherical Harmonics	2015	Valentina Cammarota Domenico Marinucci Igor Wigman	14
+ PDF	On probability measures arising from lattice points on circles	2016	Pär Kurlberg Igor Wigman	13
+ PDF	The Leray measure of nodal sets for random eigenfunctions on the torus	2008	Ferenc Oravecz Zeév Rudnick Igor Wigman	12
+	Random Fields and Geometry	2007	Robert J. Adler Jonathan Taylor	11
+ PDF Chat	Lattice points on circles and discrete velocity models for the Boltzmann equation	2006	Laura Fainsilber Pär Kurlberg Bernt Wennberg	11
+ PDF	Topologies of Nodal Sets of Random Band‐Limited Functions	2018	Peter Sarnak Igor Wigman	11
+ PDF Chat	On the distribution of the nodal sets of random spherical harmonics	2009	Igor Wigman	10
+ PDF	Nodal intersections for random eigenfunctions on the torus	2016	Zeév Rudnick Igor Wigman	10
+ PDF Chat	On the area of excursion sets of spherical Gaussian eigenfunctions	2011	Domenico Marinucci Igor Wigman	9
+	On the nodal lines of random and deterministic Laplace eigenfunctions	2012	Igor Wigman	9
+ PDF	Non-Universality of Nodal Length Distribution for Arithmetic Random Waves	2016	Domenico Marinucci Giovanni Peccati Maurizia Rossi Igor Wigman	8
+	On the angular distribution of Gaussian integers with fixed norm	1999	Péter L. Erdős R. R. Hall	8
+ PDF	The spectral function of an elliptic operator	1968	Lars Hörmander	8
+	�ber Knoten von Eigenfunktionen des Laplace-Beltrami-Operators	1978	Jochen Br�ning	8
+	Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications	2011	Domenico Marinucci Giovanni Peccati	8
+	Fluctuations of the total number of critical points of random spherical harmonics	2017	Valentina Cammarota Igor Wigman	8
+ PDF	Lower estimates for the expected Betti numbers of random real hypersurfaces	2014	Damien Gayet Jean-Yves Welschinger	7
+ PDF	Real and complex zeros of Riemannian random waves	2009	Steve Zelditch	7
+	Asymptotic solutions of oscillatory initial value problems	1957	Peter D. Lax	7
+	Eigenfunctions and nodal sets	1976	Shiu‐Yuen Cheng	7
+ PDF	A Problem on Sums of Two Squares	2014	Enrico Bombieri Jean Bourgain	7
+ PDF	On the average number of real roots of a random algebraic equation	1943	Mark Kac	6
+ PDF Chat	Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure	2017	Alexander Logunov	6
+ PDF	Orthogonal Polynomials	1971		6
+ PDF Chat	On toral eigenfunctions and the random wave model	2014	Jean Bourgain	6
+	Nodal Sets of Laplace Eigenfunctions: Estimates of the Hausdorff Measure in Dimensions Two and Three	2018	Alexander Logunov Eugenia Malinnikova	6
+	Variance of number of lattice points in random narrow elliptic strip	1995	Pavel Bleher Joel L. Lebowitz	6
+ PDF	The asymptotic equivalence of the sample trispectrum and the nodal length for random spherical harmonics	2020	Domenico Marinucci Maurizia Rossi Igor Wigman	6
+ PDF	Volume distribution of nodal domains of random band-limited functions	2017	Dmitry Beliaev Igor Wigman	6
+ PDF Chat	Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture	2017	Alexander Logunov	6
+ PDF Chat	The Number of Nodal Components of Arithmetic Random Waves	2016	Yoni Rozenshein	6
+ PDF Chat	Nodal Domains Statistics: A Criterion for Quantum Chaos	2002	Galya Blum Sven Gnutzmann∥ Uzy Smilansky	6
+ PDF	Counting nodal lines which touch the boundary of an analytic domain	2009	John A. Toth Steve Zelditch	6
+	None	2001	Marie Kratz José R. León	6
+ PDF Chat	On Nonlinear Functionals of Random Spherical Eigenfunctions	2014	Domenico Marinucci Igor Wigman	5
+ PDF Chat	Restriction of toral eigenfunctions to hypersurfaces and nodal sets	2012	Jean Bourgain Zeév Rudnick	5
+ PDF Chat	Correlations between zeros of a random polynomial	1997	Pavel Bleher Xiaojun Di	5
+	Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height	1968	Wolfgang M. Schmidt	5
+	Stein–Malliavin approximations for nonlinear functionals of random eigenfunctions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">S</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math>	2015	Domenico Marinucci Maurizia Rossi	5
+ PDF	Percolation of random nodal lines	2017	Vincent Beffara Damien Gayet	5
+ PDF Chat	Random complex zeroes, I. Asymptotic normality	2004	Mikhail Sodin Boris Tsirelson	5
+ PDF	On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus	2011	Jean Bourgain Zeév Rudnick	5