Eigenfunctions and Random Waves in the Benjamini-Schramm limit

Miklós Abért, Nicolas Bergeron, Etienne Le Masson

Type: Preprint

Publication Date: 2018-01-01

Citations: 9

DOI: https://doi.org/10.48550/arxiv.1810.05601

View Publication

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Quantum unique ergodicity for random bases of spectral projections	2013	Kenneth Maples
+	Quantum unique ergodicity for random bases of spectral projections	2013	Kenneth Maples
+ PDF Chat	Quantum unique ergodicity for random bases of spectral projections	2013	Kenneth Maples
+	Real and complex zeros of Riemannian random waves	2008	Steve Zelditch
+ PDF Chat	Real and complex zeros of Riemannian random waves	2009	Steve Zelditch
+	$L^p$ norms, nodal sets, and quantum ergodicity	2014	Hamid Hezari Gabriel Rivière
+	$L^p$ norms, nodal sets, and quantum ergodicity	2014	Hamid Hezari Gabriel Rivière
+	Spectral theory of random operators	2015
+ PDF Chat	Quantum ergodicity and Benjamini–Schramm convergence of hyperbolic surfaces	2017	E. Masson Tuomas Sahlsten
+	Related Aspects of Positivity: λ-Potential Theory on Manifolds, Lowest Eigenstates, Hausdorff Geometry, Renormalized Markoff Processes…	1986	Dennis Sullivan
+	Random Schr"odinger operators on manifolds	2002	Daniel Lenz Norbert Peyerimhoff Ivan Veselić
+	Macroscopic limits of chaotic eigenfunctions	2023	Semyon Dyatlov
+	Macroscopic limits of chaotic eigenfunctions	2021	Semyon Dyatlov
+	Random Schr"odinger operators on manifolds	2002	Daniel Lenz Norbert Peyerimhoff Ivan Veselic'
+ PDF Chat	Critical radii and suprema of random waves over Riemannian manifolds	2025	Renjie Feng Dong Yao Robert J. Adler
+ PDF Chat	Contributions to the study of random submanifolds	2016	Thomas Letendre
+	Quantum Unique Ergodicity and Random Waves on Graphs	2016
+	Ergodic Properties of Random Schrodinger Operators	2008	Irina Y. Zhecheva
+	Equidistribution of random waves on small balls	2016	Xiaolong Han Melissa Tacy
+	Complexity of random smooth functions on compact manifolds	2012	Liviu I. Nicolaescu

Works That Cite This (8)

Action	Title	Year	Authors
+ PDF Chat	How Lagrangian states evolve into random waves	2022	Maxime Ingremeau Alejandro Rivera
+ PDF Chat	Random Moments for the New Eigenfunctions of Point Scatterers on Rectangular Flat Tori	2021	Thomas Letendre Henrik Ueberschär
+ PDF Chat	Unimodular measures on the space of all Riemannian manifolds	2022	Miklós Abért Ian Biringer
+ PDF Chat	Delocalisation of eigenfunctions on large genus random surfaces	2022	Joe Thomas
+	How Lagrangian states evolve into random waves	2020	Maxime Ingremeau Alejandro Rivera
+	Eigenvectors of the square grid plus GUE	2022	András Mészáros Bálint Virág
+ PDF Chat	Quantum ergodicity for Eisenstein series on hyperbolic surfaces of large genus	2023	E. Masson Tuomas Sahlsten
+ PDF Chat	Local weak limits of Laplace eigenfunctions	2021	Maxime Ingremeau

Works Cited by This (20)

Action	Title	Year	Authors
+	A generalization of the intermediate factors theorem	2002	Amos Nevo Robert J. Zimmer
+ PDF Chat	Quantitative ergodic theorems and their number-theoretic applications	2014	Alexander Gorodnik Amos Nevo
+ PDF Chat	Invariant measures and arithmetic quantum unique ergodicity	2006	Elon Lindenstrauss
+	On the Topography of Maass Waveforms for PSL(2, Z)	1992	Dennis A. Hejhal Barry N. Rackner
+	Uniform distribution of eigenfunctions on compact hyperbolic surfaces	1987	Steven Zelditch
+ PDF Chat	Entropy and the localization of eigenfunctions	2008	Nalini Anantharaman
+ PDF Chat	Universal Components of Random Nodal Sets	2016	Damien Gayet Jean-Yves Welschinger
+ PDF Chat	The behaviour of eigenstates of arithmetic hyperbolic manifolds	1994	Zeév Rudnick Peter Sarnak
+ PDF Chat	On the Number of Nodal Domains of Toral Eigenfunctions	2016	Jeremiah Buckley Igor Wigman
+ PDF Chat	Invariant Gaussian Fields on Homogeneous Spaces : Explicit Constructions and Geometric Measure of the Zero-set	2015	Alexandre Afgoustidis