4 papers · 1 filter
Absolute continuity of invariant measures for random diffeomorphisms
Aaron Brown, Alex Eskin, Simion Filip +1
We develop criteria showing that invariant measures for random walks generated by diffeomorphisms of manifolds are in the Lebesgue class. Our assumptions are first, that there is a…
Measure Rigidity beyond Homogeneous Dynamics
Simion Filip
We describe recent work that extends some of the measure and topological rigidity results in dynamical systems from situations homogeneous under a Lie group to quite general manifo…
Measure rigidity for generalized u-Gibbs states and stationary measures via the factorization method
Aaron Brown, Alex Eskin, Simion Filip +1
We obtain measure rigidity results for stationary measures of random walks generated by diffeomorphisms, and for actions of on smooth manifolds. O…
Normal forms for contracting dynamics, revisited
Aaron Brown, Alex Eskin, Simion Filip +1
We revisit the theory of normal forms for non-uniformly contracting dynamics. We collect a number of lemmas and reformulations of the standard theory that will be used in other pro…