261 citations · 703 across the 43 of their papers we have counts for
4 papers · 1 filter
Statistical properties of uniformly hyperbolic maps and transfer operators' spectrum
Carlangelo Liverani
This is a lightning introduction to some modern techniques used in the study of the statistical properties of hyperbolic dynamical systems. The emphasis is not in presenting a comp…
Transport in partially hyperbolic fast-slow systems
Carlangelo Liverani
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 micr…
Deterministic walks in random environment
Romain Aimino, Carlangelo Liverani
Motivated by the random Lorentz gas, we study deterministic walks in random environment and show that (in simple, yet relevant, cases) they can be reduced to a class of random walk…
Edgeworth expansions for weakly dependent random variables
Kasun Fernando, Carlangelo Liverani
We discuss sufficient conditions that guarantee the existence of asymptotic expansions for the Central Limit Theorem for weakly dependent random variables including observations ar…