2 citations · 2 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
Existence of Large deviations rate function for any -unimodal map
Hiroki Takahasi, Masato Tsujii
For an arbitrary negative Schwarzian unimodal map with non-flat critical point, we establish the level-2 Large Deviation Principle (LDP) for empirical distributions. We also give 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…
Micro-local analysis of contact Anosov flows and band structure of the Ruelle spectrum
Frédéric Faure, Masato Tsujii
We develop a geometrical micro-local analysis of contact Anosov flow, such as geodesic flow on negatively curved manifold. This micro-local analysis is based on wave-packet transfo…
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 $…