Probability and Analysis in Interacting Physical Systems

Chapter 1 Yang–Mills for Probabilists

Chapter 2 Multiscale Systems, Homogenization, and Rough Paths

Chapter 3 The Deterministic and Stochastic Shallow Lake Problem

Chapter 4 Independent Particles in a Dynamical Random Environment

Chapter 5 Stable Limit Laws for Reaction-Diffusion in Random Environment

Chapter 6 Quenched Central Limit Theorem for the Stochastic Heat Equation in Weak Disorder

Chapter 7 GOE and $${\mathrm{Airy}}_{2\rightarrow 1}$$ Marginal Distribution via Symplectic Schur Functions

Chapter 8 A Large Deviations Principle for the Polar Empirical Measure in the Two-Dimensional Symmetric Simple Exclusion Process

Chapter 10 A Natural Probabilistic Model on the Integers and Its Relation to Dickman-Type Distributions and Buchstab’s Function