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

## Fingerprint Dive into the research topics where Tsujii Masato is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Anosov Flow
Mathematics

Transfer Operator
Mathematics

Dynamical system
Mathematics

Expanding Maps
Mathematics

Absolutely Continuous Invariant Measure
Mathematics

Circle
Mathematics

Skew Product
Mathematics

Dynamical systems
Engineering & Materials Science

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1991 2018

4
Citations
(Scopus)

### Exponential mixing for generic volume-preserving Anosov flows in dimension three

Tsujii, M., Jan 1 2018, In : Journal of the Mathematical Society of Japan. 70, 2, p. 757-821 65 p.Research output: Contribution to journal › Article

Anosov Flow

Three-dimension

Closed

Subset

2
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

Semiflow

Error term

Periodic Orbits

Orbits

Orbit

9
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

Geodesic Flow

Riemann zeta function

Anosov Flow

Transfer Operator

Hyperbolicity

4
Citations
(Scopus)

### The partial captivity condition for U(1) extensions of expanding maps on the circle

Nakano, Y., Tsujii, M. & Wittsten, J., May 25 2016, In : Nonlinearity. 29, 7, p. 1917-1925 9 p.Research output: Contribution to journal › Article

Expanding Maps

Circle

Partial

Group Extension

Stochastic Perturbation

2
Citations
(Scopus)

### On the Fourier transforms of self-similar measures

Tsujii, M., Oct 1 2015, In : Dynamical Systems. 30, 4, p. 468-484 17 p.Research output: Contribution to journal › Article

Self-similar Measure

Large Deviations

Real Line

Fourier transform

Fourier transforms

## Prizes

Japan

Editorial boards

autumn

family