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" Heat kernel and analysis on manifolds / "
Alexander Grigorʹyan.
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BL
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| Record Number
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1022621
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| Doc. No
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b776991
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| Main Entry
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Grigoryan, A., (Alexander)
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| Title & Author
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Heat kernel and analysis on manifolds /\ Alexander Grigorʹyan.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society ;[Somerville, Mass.] :: International Press,, ©2009.
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| Series Statement
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AMS/IP studies in advanced mathematics ;; v. 47
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| Page. NO
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xvii, 482 pages :: illustrations ;; 27 cm.
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| ISBN
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0821849352
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: 9780821849354
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Some questions on elliptic operators / P. Auscher -- Heat kernels and sets with fractal structure / M.T. Barlow -- Brownian motions on compact groups of infinite dimension / A. Bendikov and L. Saloff-Coste -- Heat kernel and isoperimetry on non-compact Riemannian manifolds / T. Coulhon -- Heat kernels measures and infinite dimensional analysis / B.K. Driver -- Heat kernels and function theory on metric measure spaces / A. Grigor'yan -- Sobolev spaces on metric-measure spaces / P. Hajłasz -- Quasiregular mappings and the p -Laplace operator / I. Holopainen -- Spherical inversion on SL 2 (C) / J. Jorgenson and S. Lang -- Spectral geometry of crystal lattices / M. Kotani and T. Sunada -- Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces / V. Maz'ya -- Some topics related to analysis on metric spaces / S. Semmes -- Probability measures on metric spaces of nonpositive curvature / K.-T. Sturm -- Generating function techniques for random walks on graphs / W. Woess.
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| Abstract
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"This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincaré 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."--Publisher's website.
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| Subject
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Gaussian processes.
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Heat equation.
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Kernel functions.
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Riemannian manifolds.
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Gaussian processes.
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Gaussian processes.
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Heat equation.
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Heat equation.
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Kernel functions.
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Kernel functions.
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Riemannian manifolds.
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Riemannian manifolds.
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| Dewey Classification
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515/.353
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| LC Classification
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QA377.G754 2009
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