Research output per year
Research output per year
Personal profile
Research interests
My research interest is in chaotic behavior of orbits in hyperbolic dynamical systems and related objects such as strange attractors. More specifically I study mainly the following topics
- spectral properties of transfer operators for hyperbolic dynamics and related analytic properties of dynamical zeta functions
- ergodic properties of non-uniformly hyperboic or partially hyperbolic dynamical systems in low dimensions.
Education/Academic qualification
Mathematics, Doctor of Science, Kyoto University
Apr 1 1987 → Mar 23 1992
Award Date: Nov 3 1993
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Smooth mixing Anosov ows in dimension three are exponentially mixing
Tsujii, M. & Zhang, Z., 2023, In: Annals of Mathematics. 197, 1, p. 65-158 94 p.Research output: Contribution to journal › Article › peer-review
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Invariant densities for random continued fractions
Kalle, C., Matache, V., Tsujii, M. & Verbitskiy, E., Aug 15 2022, In: Journal of Mathematical Analysis and Applications. 512, 2, 126163.Research output: Contribution to journal › Article › peer-review
Open Access3 Citations (Scopus) -
Exponential mixing for generic volume-preserving Anosov flows in dimension three
Tsujii, M., 2018, In: Journal of the Mathematical Society of Japan. 70, 2, p. 757-821 65 p.Research output: Contribution to journal › Article › peer-review
12 Citations (Scopus) -
The error term in the prime orbit theorem for expanding semiflows
Tsujii, M., Aug 1 2018, In: Ergodic Theory and Dynamical Systems. 38, 5, p. 1954-2000 47 p.Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus) -
The semiclassical zeta function for geodesic flows on negatively curved manifolds
Faure, F. & Tsujii, M., Jun 1 2017, In: Inventiones Mathematicae. 208, 3, p. 851-998 148 p.Research output: Contribution to journal › Article › peer-review
29 Citations (Scopus)