Spectral distribution and $L^2$-isoperimetric profile of Laplace operators on groups

Alexander Bendikov, Christophe Pittet, Roman Sauer

Type: Preprint

Publication Date: 2009-01-02

Citations: 5

Locations

arXiv (Cornell University) - View

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+ PDF Chat	Mil nor's problem on the growth of groups and its consequences	2014	Rostislav Grigorchuk
+ PDF Chat	Long time behavior of random walks on abelian groups	2010	Alexander Bendikov Barbara Bobikau
+	Some Spectral and Geometric Aspects of Countable Groups	2011	Alexander Bendikov Barbara Bobikau Christophe Pittet
+ PDF Chat	Milnor's problem on the growth of groups and its consequences	2014	Rostislav Grigorchuk
+	Random walk on a discrete Heisenberg group	2011	Driss Gretete

Works Cited by This (12)

Action	Title	Year	Authors
+	On the stability of the behavior of random walks on groups	2000	Ch. Pittet Laurent Saloff‐Coste
+ PDF Chat	Isoperimetry for wreath products of Markov chains and multiplicity of selfintersections of random walks	2006	Anna Erschler
+	Groups of polynomial growth and expanding maps	1981	Mikhael Gromov
+ PDF Chat	Difference equations, isoperimetric inequality and transience of certain random walks	1984	Józef Dodziuk
+	Von Neumann spectra near zero	1991	M. Gromov Mikhail Shubin
+ PDF Chat	On-diagonal lower bounds for heat kernels and Markov chains	1997	Thierry Coulhon Alexander Grigor’yan
+ PDF Chat	Random Walks on Discrete Groups: Boundary and Entropy	1983	Vadim A. Kaimanovich Анатолий Моисеевич Вершик
+ PDF Chat	Heat kernel upper bounds on a complete non-compact manifold	1994	Alexander Grigor’yan
+ PDF Chat	Stabilité du comportement des marches aléatoires sur un groupe localement compact	2008	Driss Gretete
+	Ultracontractivity and embedding into L ∞	2006	Alexander Bendikov Thierry Coulhon L. Saloff-Coste