Measure Rigidity beyond Homogeneous Dynamics

2025/12/15 by Filip, Simion
#32G15 #37C40 #37D25 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2512.13865

Abstract

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 manifolds.

Citations

• Conservative Coexpanding on Average Diffeomorphisms
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Related

• Rigidity, lattices and invariant measures beyond homogeneous dynamics
• Rigidity in dynamics and Möbius disjointness
• C^*-rigidity of dynamical systems and étale groupoids
• Entropy, Lyapunov exponents, and rigidity of group actions
• Nonexistence of invariant rigid structures and invariant almost rigid structures