Description
Book SynopsisContains 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.
Table of ContentsSome questions on elliptic operators by P. Auscher Heat kernels and sets with fractal structure by M. T. Barlow Brownian motions on compact groups of infinite dimension by A. Bendikov and L. Saloff-Coste Heat kernel and isoperimetry on non-compact Riemannian manifolds by T. Coulhon Heat kernels measures and infinite dimensional analysis by B. K. Driver Heat kernels and function theory on metric measure spaces by A. Grigor'yan Sobolev spaces on metric-measure spaces by P. Hajlasz Quasiregular mappings and the $p$-Laplace operator by I. Holopainen Spherical inversion on SL$_2$(C) by J. Jorgenson and S. Lang Spectral geometry of crystal lattices by M. Kotani and T. Sunada Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces by V. Maz'ya Some topics related to analysis on metric spaces by S. Semmes Probability measures on metric spaces of nonpositive curvature by K.-T. Sturm Generating function techniques for random walks on graphs by W. Woess.
