Heat kernels and analysis on manifolds, graphs, and metric spaces : [electronic resource] lecture notes from a quarter program on heat kernels, random walks, and analysis on manifolds, and graphs, : April 16-July 13, 2002, Emile Borel Centre of the Henri Poincar�e Institute, Paris, France / Pascal Auscher, Thierry Coulhon, Alexander Grigor�yan.

Includes bibliographical references.

Some questions on elliptic operators / Pascal Auscher -- Heat kernels and sets with fractal structure / Martin T. Barlow -- Brownian motions on compact groups of infinite dimension / Alexander Bendikov and Laurent Saloff-Coste -- Heat kernel and isoperimetry on non-compact Riemannian manifolds / Thierry Coulhon -- Heat kernels measures and infinite dimensional analysis / Bruce K. Driver -- Heat kernels and function theory on metric measure spaces / Alexander Grigor'yan -- Sobolev spaces on metric-measure spaces / Piotr Haj�asz -- Quasiregular mappings and the $p$-Laplace operator / Ilkka Holopainen -- Spherical inversion on ${\rm SL}_2(\mathbf {C})$ / Jay Jorgenson and Serge Lang -- Spectral geometry of crystal lattices / Motoko Kotani and Toshikazu Sunada -- Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces / Vladimir Mazya -- Some topics related to analysis on metric spaces / Stephen Semmes -- Probability measures on metric spaces of nonpositive curvature / Karl-Theodor Sturm -- Generating function techniques for random walks on graphs / Wolfgang Woess --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.