000 02088nmm a2200229Ia 4500
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020 _a9780821879283 (online)
245 0 _aHeat kernels and analysis on manifolds, graphs, and metric spaces :
_blecture 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
260 _aProvidence, RI :
_bAmerican Mathematical Society,
_cc2003
300 _a1 online resource (vii, 423 p.)
490 _aContemporary mathematics
_vv. 338
_x10983627
504 _aIncludes bibliographical references.
505 _tSome 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
_p
_Laplace 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
_rPascal 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
650 _aElliptic operators
650 _aHeat equation
650 _aMetric spaces
650 _aStochastic partial differential equations
700 _aAuscher Pascal
700 _aCoulhon T
700 _aGrigoryan A
856 _uhttp://www.ams.org/conm/338/
999 _c28755
_d28755