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Analysis and Geometry of Markov Diffusion Operators

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Cover of 'Analysis and Geometry of Markov Diffusion Operators'

Table of Contents

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    Book Overview
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    Chapter 1 Markov Semigroups
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    Chapter 2 Model Examples
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    Chapter 3 Symmetric Markov Diffusion Operators
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    Chapter 4 Poincaré Inequalities
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    Chapter 5 Logarithmic Sobolev Inequalities
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    Chapter 6 Sobolev Inequalities
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    Chapter 7 Generalized Functional Inequalities
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    Chapter 8 Capacity and Isoperimetric-Type Inequalities
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    Chapter 9 Optimal Transportation and Functional Inequalities
Attention for Chapter 4: Poincaré Inequalities
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