A Para-Controlled Approach to the Stochastic Yang-Mills Equation in TwoDimensions

Bjoern Bringmann, Institute for Advanced Study, Princeton, New Jersey, and Princeton University, New Jersey. Sky Cao, Institute for Advanced Study, Princeton, New Jersey

Chapters; 1. Introduction; 2. Preliminaries; 3. Para-controlled Ansatz; 4. Vector-valued multiple stochastic integrals; 5. Explicit stochastic objects; 6. Nonlinear estimates; 7. Gauge-covariance; A. A standard reduction; B. Proofs of para-product and Schauder-type estimates; C. Space-time function spaces; D. Proofs of Lemma , Lemma , and Lemma