21 citations · 111 across the 25 of their papers we have counts for
27 papers
Perturbation of the time-1 map of a generic volume-preserving -dimensional Anosov flow
Masato Tsujii, Zhiyuan Zhang
Let be a large integer, and let be a diffeomorphism sufficiently close in the -topology to the time-1 map of a generic volume-preserving Anosov flow on a…
Non-stationary normal coordinates on neighborhoods of Pesin stable manifolds
Masato Tsujii
We construct non-stationary normal coordinates in a neighborhood of Pesin stable manifolds \cite{Pesin}. This construction is a natural extension, via jets in the normal directions…
Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center
Hiroki Takahasi, Masato Tsujii
For the heterochaos baker maps whose central direction is mostly neutral, we prove that correlations for Hölder continuous functions decay at an optimal polynomial rate of order $n…
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…
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…
Invariant densities for random continued fractions
Charlene Kalle, Valentin Matache, Masato Tsujii +1
We continue the study of random continued fraction expansions, generated by random application of the Gauss and the Rényi backward continued fraction maps. We show that this random…