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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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Analysis and Geometry of Markov Diffusion Operators (Hardcover, 2014 ed.)
Loot Price: R6,271
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Analysis and Geometry of Markov Diffusion Operators (Hardcover, 2014 ed.)
Series: Grundlehren der mathematischen Wissenschaften, 348
Expected to ship within 10 - 15 working days
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The present volume is an extensive monograph on the analytic and
geometric aspects of Markov diffusion operators. It focuses on the
geometric curvature properties of the underlying structure in order
to study convergence to equilibrium, spectral bounds, functional
inequalities such as Poincare, Sobolev or logarithmic Sobolev
inequalities, and various bounds on solutions of evolution
equations. At the same time, it covers a large class of evolution
and partial differential equations. The book is intended to serve
as an introduction to the subject and to be accessible for
beginning and advanced scientists and non-specialists.
Simultaneously, it covers a wide range of results and techniques
from the early developments in the mid-eighties to the latest
achievements. As such, students and researchers interested in the
modern aspects of Markov diffusion operators and semigroups and
their connections to analytic functional inequalities,
probabilistic convergence to equilibrium and geometric curvature
will find it especially useful. Selected chapters can also be used
for advanced courses on the topic.
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