On the topology of the zero sets of monochromatic random waves

Yaiza Canzani, Peter Sarnak

Type: Preprint

Publication Date: 2014-01-01

Citations: 14

DOI: https://doi.org/10.48550/arxiv.1412.4437

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arXiv (Cornell University) - View
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arXiv (Cornell University) - View
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arXiv (Cornell University) - View
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+	A covariance formula for topological events of smooth Gaussian fields.	2018	Dmitry Beliaev Stephen Muirhead Alejandro Rivera
+ PDF	Volume distribution of nodal domains of random band-limited functions	2017	Dmitry Beliaev Igor Wigman
+ PDF	Equidistribution of the conormal cycle of random nodal sets	2018	Nguyen Viet Dang Gabriel Rivière
+ PDF	Universal Components of Random Nodal Sets	2016	Damien Gayet Jean-Yves Welschinger
+ PDF	Topologies of Nodal Sets of Random Band‐Limited Functions	2018	Peter Sarnak Igor Wigman
+ PDF	$$C^\infty $$ C ∞ Scaling Asymptotics for the Spectral Projector of the Laplacian	2017	Yaiza Canzani Boris Hanin
+	Mean conservation of nodal volume and connectivity measures for Gaussian ensembles	2019	Dmitry Beliaev Stephen Muirhead Igor Wigman
+	Volume distribution of nodal domains of random band-limited functions	2016	Dmitry Beliaev Igor Wigman
+	Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions	2015	Fëdor Nazarov Mikhail Sodin
+	Fluctuations of nodal sets on the 3-torus and general cancellation phenomena	2020	Massimo Notarnicola

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+	Topologies of nodal sets of random band limited functions.	2015	Peter Sarnak Igor Wigman
+	The Jordan-Brouwer Separation Theorem for Smooth Hypersurfaces	1988	Elon L. Lima
+ PDF Chat	On the number of nodal domains of random spherical harmonics	2009	Fëdor Nazarov Mikhail Sodin
+	Table of Integrals, Series, and Products	1980
+	Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series	1956	Atle Selberg
+ PDF Chat	Submanifolds that are level sets of solutions to a second-order elliptic PDE	2013	Alberto Enciso Daniel Peralta‐Salas