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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.

Contributor(s): Auscher, Pascal | Coulhon, T | Grigoryan, A. (Alexander)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 338.Publication details: Providence, RI : American Mathematical Society, c2003Description: 1 online resource (vii, 423 p.)ISBN: 9780821879283 (online)Subject(s): Heat equation | Elliptic operators | Stochastic partial differential equations | Metric spacesAdditional physical formats: Heat kernels and analysis on manifolds, graphs, and metric spaces :DDC classification: 515/.353 LOC classification: QA377 | .H43 2003Online resources: Contents | Contents

Contents:

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

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11620

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 --

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