1 “...This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds...”

2 Table of Contents: “...Potential theory and isoperimetric inequalities -- Basic definitions and preliminaries -- Some...”

3 Table of Contents: “... of the isoperimetric inequality -- Stefan Müller: Mathematical problems in thin elastic sheets: scaling limits.-packing...”

4 Table of Contents: “... of Minimal Surfaces -- Enclosure and Existence Theorems for Minimal Surfaces and H-Surfaces. Isoperimetric...”

5 Table of Contents: “... -- 5.Cameron-Martin Theorem -- 6.Isoperimetric Inequality -- 7.Measure Concavity and Other Inequalities...”

6 Table of Contents: “...-Varopoulos Inequality -- 5 Isoperimetric Inequalities and Amenability -- 6 Markov Chains and Harmonic...”

7 “..., and the isoperimetric inequality for Gaussian processes. The book is not just a presentation of mathematical theory...”

8 Table of Contents: “...Notation -- 0. Isoperimetric Background and Generalities -- 1. Isoperimetric Inequalities...”

9 Table of Contents: “... -- Section 10. The most important Gaussian distributions -- Section 11. Convexity and the isoperimetric...”

10 “... the isoperimetric inequality and the Steiner tree problem. The book concludes with a chapter on the limits...”

11 Table of Contents: “... Isoperimetric Inequality -- Some Shift Inequalities for Gaussian Measures -- A Central Limit Theorem...”

12 Table of Contents: “.... Rademacher Processes -- A.4. Isoperimetric Inequalities for Product Measures -- A.5. Some Limit Theorems -- A...”

13 Table of Contents: “...15. Some Relative Isoperimetric Inequalities and Applications to Nonlinear Problems -- II: Partial...”