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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…
math.DS2024
Measures of maximal entropy for non-uniformly hyperbolic maps
Yuri Lima, Davi Obata, Mauricio Poletti
For maps, possibly non-invertible and with singularities, we prove that each homoclinic class of an ergodic adapted hyperbolic measure carries at most one adapted hyperbol…