Stochastic Analysis: A Series of Lectures

Chapter 1 An Introduction to Infinite-dimensional Oscillatory and Probabilistic Integrals

Chapter 2 Stochastic Lagrangian Flows and the Navier–Stokes Equations

Chapter 3 Integration by Parts Formulas and Regularity of Probability Laws

Chapter 4 Stochastic Porous Media Equations

Chapter 5 Stochastic Incompressible Euler Equations in a Two-dimensional Domain

Chapter 7 Reflections on Reflections

Chapter 8 A Stochastic View over the Open Problem of Well-posedness for the 3D Navier–Stokes Equations

Chapter 9 A Short Course on Weak Approximations for Lévy Driven SDE’s

Chapter 10 Stochastic PDE from the Point of View of Particle Systems and Duality

Chapter 11 Stochastic Integration in Banach Spaces – a Survey

Chapter 12 Stochastic Partial Differential Equations with Lévy Noise (a Few Aspects)

Chapter 13 The Research Program of Stochastic Deformation (with a View Toward Geometric Mechanics)