Geometric Aspects of Functional Analysis

Chapter 1 Gromov’s Waist of Non-radial Gaussian Measures and Radial Non-Gaussian Measures

Chapter 2 Zhang’s Inequality for Log-Concave Functions

Chapter 3 Bobkov’s Inequality via Optimal Control Theory

Chapter 4 Arithmetic Progressions in the Trace of Brownian Motion in Space

Chapter 5 Edgeworth Corrections in Randomized Central Limit Theorems

Chapter 6 Three Applications of the Siegel Mass Formula

Chapter 7 Decouplings for Real Analytic Surfaces of Revolution

Chapter 8 On Discrete Hardy–Littlewood Maximal Functions over the Balls in ℤ d $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates

Chapter 9 On the Poincaré Constant of Log-Concave Measures

Chapter 10 On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures

Chapter 12 A Dimension-Free Reverse Logarithmic Sobolev Inequality for Low-Complexity Functions in Gaussian Space

Chapter 13 Information and Dimensionality of Anisotropic Random Geometric Graphs

Chapter 14 On the Ekeland-Hofer-Zehnder Capacity of Difference Body