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math.DS2023
Exponential volume limits
Snir Ben Ovadia, Federico Rodriguez-Hetrz
Let be a -dimensional closed Riemannian manifold, let , and denote by the Riemannian volume form of . We prove that if $m\circ f^{-n}\xrig…
math.DS2023★ 1 cited
Neutralized local entropy, and dimension bounds for invariant measurs
Snir Ben Ovadia, Federico Rodriguez-Hertz
We introduce a notion of a point-wise entropy of measures (i.e local entropy) called neutralized local entropy, and compare it with the Brin-Katok local entropy. We show that the n…