Transport in Partially Hyperbolic Fast-Slow Systems

Abstract

I will discuss, from a dynamical systems point of view, some recent attempts to rigorously derive the macroscopic laws of transport (e.g. the heat equation) from deterministic microscopic dynamics.

Quantitative statistical properties of two-dimensional partially hyperbolic systems

“…Recently, motivated by deep physical reasons [24,8,42], the second author has proposed the study of a simple class of partially hyperbolic systems with the goal of developing a theory applicable to a large class of fast-slow systems. Some encouraging results have been obtained [17,18,20].…”