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math.DS2022
On bifurcation of statistical properties of partially hyperbolic endomorphisms
Masato Tsujii, Zhiyuan Zhang
We give an example of a path-wise connected open set of partially hyperbolic endomorphisms on the -torus, on which the SRB measure exists for each system and varies s…
math.DS2022
Virtually expanding dynamics
Masato Tsujii
We introduce a class of discrete dynamical systems that we call \emph{virtually expanding}. This is an open subset of self-covering maps on a closed manifold which contains all exp…