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 16July 13, 2002, Emile Borel Centre of the Henri Poincare Institute, Paris, France

Contributor(s): Auscher Pascal | Coulhon T | Grigoryan AMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 338Publication details: Providence, RI : American Mathematical Society, c2003Description: 1 online resource (vii, 423 p.)ISBN: 9780821879283 (online)Subject(s): Elliptic operators | Heat equation | Metric spaces | Stochastic partial differential equationsOnline resources: Click here to access online
Contents:
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 noncompact Riemannian manifolds ; Heat kernels measures and infinite dimensional analysis ; Heat kernels and function theory on metric measure spaces ; Sobolev spaces on metricmeasure spaces ; Quasiregular mappings and the Pascal Auscher ; Martin T Barlow ; Alexander Bendikov and Laurent SaloffCoste ; Thierry Coulhon ; Bruce K Driver ; Alexander Grigor'yan ; Piotr Hajasz ; Ilkka Holopainen ; Jay Jorgenson and Serge Lang ; Motoko Kotani and Toshikazu Sunada ; Vladimir Mazya ; Stephen Semmes ; KarlTheodor Sturm ; Wolfgang Woess
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electronic book electronic book ICTS
Link to resource Accessible Online EBK21342
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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 noncompact Riemannian manifolds ; Heat kernels measures and infinite dimensional analysis ; Heat kernels and function theory on metric measure spaces ; Sobolev spaces on metricmeasure spaces ; Quasiregular mappings and the aplace operator ; Spherical inversion on rm SL_2(\mathbf C) ; 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 SaloffCoste ; Thierry Coulhon ; Bruce K Driver ; Alexander Grigor'yan ; Piotr Hajasz ; Ilkka Holopainen ; Jay Jorgenson and Serge Lang ; Motoko Kotani and Toshikazu Sunada ; Vladimir Mazya ; Stephen Semmes ; KarlTheodor Sturm ; Wolfgang Woess

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