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Item Details
Title: HEAT KERNELS AND ANALYSIS ON MANIFOLDS, GRAPHS, AND METRIC SPACES
By: Pascal Auscher (Editor), Thierry Coulhon (Editor), Alexander Grigoryan (Editor)
Format: Paperback

List price: £114.00


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ISBN 10: 0821833839
ISBN 13: 9780821833834
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 December, 2003
Series: Contemporary Mathematics No. 338
Pages: 424
Description: Contains the lectures notes of courses taught at the Emile Borel Centre of the Henri Poincare Institute (Paris). This book deals with the study of heat kernels in various situations using related geometric and analytic tools. It is suitable for graduate students and research mathematicians interested in random processes and analysis on manifolds.
Synopsis: This volume contains the expanded lectures notes of courses taught at the Emile Borel Centre of the Henri Poincare Institute (Paris). In the book, leading experts introduce recent research in their fields. The unifying theme is the study of heat kernels in various situations using related geometric and analytic tools. Topics include analysis of complex-coefficient elliptic operators, diffusions on fractals and on infinite-dimensional groups, heat kernel and isoperimetry on Riemannian manifolds, heat kernels and infinite dimensional analysis, diffusions and Sobolev-type spaces on metric spaces, quasi-regular mappings and $p$-Laplace operators, heat kernel and spherical inversion on $SL_2(C)$, random walks and spectral geometry on crystal lattices, isoperimetric and isocapacitary inequalities, and generating function techniques for random walks on graphs. This volume is suitable for graduate students and research mathematicians interested in random processes and analysis on manifolds.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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