Ergodic properties of eigenfunctions for the Dirichlet problem

Patrick Gérard, Éric Leichtnam

Type: Article

Publication Date: 1993-08-01

Citations: 287

DOI: https://doi.org/10.1215/s0012-7094-93-07122-0

View Publication

Locations

Duke Mathematical Journal - View

Similar Works

Action	Title	Year	Authors
+	Brownian motion and eigenvalues for the Dirichlet Laplacian	1990	S. E. Graversen Murali Rao
+ PDF Chat	Subfunctions and the Dirichlet problem	1958	Lloyd Jackson
+ PDF Chat	Dirichlet forms and applications to ergodic theory of Markov chains	2011	Guillaume Poly
+	Heat Kernel Asymptotics for the Dirichlet Problem	2024	Kazuaki Taira
+ PDF Chat	Wiener criteria and energy decay for relaxed dirichlet problems	1986	Gianni Dal Maso Umberto Mosco
+	Extremal functions and invariant subspaces in Dirichlet spaces	2022	Omar El-Fallah Y. Elmadani I. Labghail
+	Sharp Estimates for Dirichlet Eigenfunctions in Simply Connected Domains	1996	Rodrigo Bañuelos
+ PDF Chat	Eigenfunction expansions for generators of Dirichlet forms	2003	Anne Boutet de Monvel Peter Stollmann
+	Spectral Properties of Dirichlet Forms and Transformations of Symmetric Markov Processes(ディリクレ形式のスペクトルの性質と対称マルコフ過程の変換)	1998	金大弘
+ PDF Chat	Ergodicity of eigenfunctions for ergodic billiards	1996	Steven Zelditch Maciej Zworski
+ PDF Chat	Quantum Ergodicity of Boundary Values of Eigenfunctions	2004	Andrew Hassell Steve Zelditch
+	Decomposition of Dirichlet processes on Hilbert space	1991	Michael Röckner T.-S. Zhang
+	Functions of Dirichlet eigenvalues	2006
+	Functions of Dirichlet eigenvalues	2006
+	On the spectral property of a Dirichlet problem with explosive factor	2002	Zaki FA El-Raheem A. H. Nasser
+ PDF Chat	Sequence solutions of the Dirichlet problem	1981	Jiří Veselý
+	Sequence solutions of the Dirichlet problem	1979	Jiří Veselý
+	Spectral decomposition and ergodic theorem	1967	К. Урбаник
+ PDF Chat	Quantum Ergodicity and L p Norms of Restrictions of Eigenfunctions	2017	Hamid Hezari
+	Global Spectral Gap for Dirichlet-Kac Random Motions	2008	Gaston Giroux René Ferland

Works That Cite This (255)

Action	Title	Year	Authors
+	Concentration of symmetric eigenfunctions	2010	Daniel Azagra Fabricio Macià
+	Decay rates for Kelvin-Voigt damped wave equations II: The geometric control condition	2021	Nicolas Burq Chenmin Sun
+ PDF Chat	Some Remarks on Semi-classical Analysis on Two-Step Nilmanifolds	2023	Clotilde Fermanian Kammerer Vèronique Fischer Steven Flynn
+ PDF Chat	Uniform observation of semiclassical Schrödinger eigenfunctions on an interval	2023	Camille Laurent Matthieu Léautaud
+ PDF Chat	Microlocal limits of plane waves and Eisenstein functions	2014	Semyon Dyatlov Colin Guillarmou
+ PDF Chat	Amplitude distribution of eigenfunctions in mixed systems	2002	Arnd Bäcker Roman Schubert
+	Local energy decay for the damped Klein-Gordon equation in exterior domain	2016	Mohamed Malloug
+	Smoothing effect for Schrödinger boundary value problems	2002	Nicolas Burq
+ PDF Chat	Poincaré Husimi representation of eigenstates in quantum billiards	2004	Arnd Bäcker Silke Fürstberger Roman Schubert
+	Wigner measures dynamics in a Coulomb potential	2005	Sahbi Keraani

Works Cited by This (16)

Action	Title	Year	Authors
+	Some Formal Properties of the Density Matrix	1940	Kôdi Husimi
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Addendum On the Asymptotic Properties of Eigenfunctions in the Regions of Chaotic Motion	1993	Alexander Shnirelman
+	Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits	1984	Eric J. Heller
+	Wave packets and fourier integral operators	1978	Antonio Córdoba Charles Fefferman
+ PDF Chat	Ergodic and topological properties of coulombic periodic potentials	1987	Andreas Knauf
+ PDF Chat	On the ergodic properties of nowhere dispersing billiards	1979	Leonid Bunimovich
+	H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations	1990	Luc Tartar
+	Uniform distribution of eigenfunctions on compact hyperbolic surfaces	1987	Steven Zelditch
+ PDF Chat	Strange billiard tables	1977	Benjamin Halpern