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math.DS2025
Absolute continuity of stationary measures for random surface dynamics
Aaron Brown, Homin Lee, Davi Obata +1
We find conditions for stationary measures of random dynamical systems on surfaces having dissipative diffeomorphisms to be absolutely continuous. These conditions involve a unifor…
math.DS2025
Positive entropy actions by higher-rank lattices
Aaron Brown, Homin Lee
We study smooth actions by lattices in higher-rank simple Lie groups. Assuming one element of the action acts with positive topological entropy, we prove a number of new rigidity r…
math.DS2024
Absolute continuity of stationary measures
Aaron Brown, Homin Lee, Davi Obata +1
Let and be two volume preserving, Anosov diffeomorphisms on , sharing common stable and unstable cones. In this paper, we find conditions for the existence of…