Analysis and Geometry of Markov Diffusion Operators (Grundlehren der mathematischen Wissenschaften Book 348) 2014th Edition by Dominique Bakry (PDF)

Description

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 Poincaré, 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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⭐Mathematically, the book is an invaluable addition to the subject, particularly because you see in one place a summary of many things spread in the literature. You can find many results which are described greatly by the vary masters of the method. As the motto say, it is incredible how far you can go by simply using integration by parts and Cauchy’s inequality.The book is definitely 5 stars. HOWEVER, THE PRINTING FROM AMAZON IS TERRIBLE. I THOUGHT I JUST HAD BACK LUCK WITH IT AND SOMEHOW, SINCE I NEED IT ONLY OCCASIONALLY, I DID NOT SENT IT BACK FOR A RETURN. I WAS THOUGH VERY MUCH SURPRISED TO FIND THE SAME LOW QUALITY PRINTING IN SOMEONE’S ELSE OFFICE. ESSENTIALLY THE LETTERS DO NOT HAVE UNIFORM PRINTING. SOME PAGES ARE DECENT BUT OTHER ARE REALLY FADED SO BADLY THAT I CAN NOT READ IT.i POINTED THIS TO ONE OF THE AUTHORS AND RECENTLY SPRINGER SENT ME A COPY PRINTED IN EUROPE WHICH IS REALLY HIGH QUALITY. SPRINGER ALSO MENTIONED THAT THIS IS ONLY DO TO THE FACT THAT AMAZON USES IT OWN PRINTING COMPANY. I GUESS THEY TRY TO BE CHEAP HERE TO SAVE A BUCK ON THE PREMISE THAT THE NOT MANY PEOPLE READ PRINTED BOOKS. I BELIEVE THAT WHEN YOU ARE DOING RESEARCH IN A CERTAIN AREA THERE IS A NUMBER OF BOOKS WHICH ARE ESSENTIAL AND MANY RESEARCHERS USE A PRINTED ONE. IT IS A LOT MORE USEFUL THAN THE ELECTRONIC ONE…I BELIEVE THAT THE BAD PRINTING COULD SIMPLY DESTROY A BOOK… I WISH I CAN RETURN IT BUT AMAZON WOULD NO LONGER ACCEPT THAT. I GUESS I WILL BE MORE CAREFUL IN THE FUTURE WITH PRINTED BOOKS FROM AMAZON.

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