Contents vii 9.2. Logarithmic Sobolev inequalities 279 9.3. Talagrand inequalities 291 9.4. HWI inequalities 297 9.5. Nonlinear generalizations: internal energy 301 9.6. Nonlinear generalizations: interaction energy 304 Chapter 10. Problems 307 List of Problems 308 Bibliography 349 Table of Short Statements 363 Index 367
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