4 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…
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…