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math.DS2025
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…
math.DS2025
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…
math.DS2024
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…