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Heat kernels and analysis on manifolds, graphs, and metric spaces : 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 / [electronic resource] Pascal Auscher, Thierry Coulhon, Alexander Grigor�yan. - Providence, RI : American Mathematical Society, c2003. - 1 online resource (vii, 423 p.) - Contemporary mathematics, v. 338 0271-4132 (print); 1098-3627 (online); . - Contemporary mathematics (American Mathematical Society) ; v. 338. .

Includes bibliographical references.

Some questions on elliptic operators / Heat kernels and sets with fractal structure / Brownian motions on compact groups of infinite dimension / Heat kernel and isoperimetry on non-compact Riemannian manifolds / Heat kernels measures and infinite dimensional analysis / Heat kernels and function theory on metric measure spaces / Sobolev spaces on metric-measure spaces / Quasiregular mappings and the $p$-Laplace operator / Spherical inversion on $_2(\mathbf )$ / Spectral geometry of crystal lattices / Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces / Some topics related to analysis on metric spaces / Probability measures on metric spaces of nonpositive curvature / Generating function techniques for random walks on graphs / Pascal Auscher -- Martin T. Barlow -- Alexander Bendikov and Laurent Saloff-Coste -- Thierry Coulhon -- Bruce K. Driver -- Alexander Grigor'yan -- Piotr Haj�asz -- Ilkka Holopainen -- Jay Jorgenson and Serge Lang -- Motoko Kotani and Toshikazu Sunada -- Vladimir Mazya -- Stephen Semmes -- Karl-Theodor Sturm -- Wolfgang Woess -- http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06068 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06069 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06070 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06071 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06072 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06073 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06074 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06075 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06076 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06077 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06078 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/6079 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06080 http://www.ams.org/conm/338/ http://dx.doi.org/10.1090/conm/338/06081

Access is restricted to licensed institutions


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


Mode of access : World Wide Web

ISBN: 9780821879283 (online)

Subjects--Topical Terms:
Heat equation.
Elliptic operators.
Stochastic partial differential equations.
Metric spaces.

LC Class. No.: QA377 / .H43 2003

Dewey Class. No.: 515/.353