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Heat Kernel and Analysis on Manifolds Book PDF Summary

"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.

Detail Book of Heat Kernel and Analysis on Manifolds PDF

Heat Kernel and Analysis on Manifolds
  • Author : Alexander Grigoryan
  • Release : 29 June 2024
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821849354
  • Genre : Mathematics
  • Total Page : 504 pages
  • Language : English
  • PDF File Size : 11,5 Mb

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Heat Kernel and Analysis on Manifolds

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