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Last modified date：2011.5.6
Tsujii Masato
Professor
Graduate School
Undergraduate School
Homepage
Academic Degree
Doctoral degree of Science
Field of Specialization
Mathematics
Outline Activities
My research area is dynamical system theory(the qualitative theory of ordinary differential equations). More precisely, I study transfer operators associated to dynamical systems by using methods of functional analysis such as Fourier analysis and theory of distributions. My main target now is the geodesic flow on negatively curved manifold, which is a type of chaotic hyperbolic flow, and the corresponding transfer operators and semi-calsscial zeta
funtions.
For education, I gave lectures on basic calculus and linear algebra for freshmen, on comlex function theory for senior students in the technology depatrment and also for students in mathematics department. In the lectures, I tried to let the student understand that mathematics is available in many aspects of real life and also in many braches of science. I also tried to present mathematics as a type of exact science.
Research
Research Interests
- Functional analytic methods in dynamical systems theory
keyword : hypebolic dynamical systems, transfer operators, dynamical zeta functions
2006.04～2010.03.
Academic Activities
Papers
| 1. |
辻井 正人,Quasi-compactness of transfer operators for contact Anosov flows,Nonlinearity,2010.02. |
| 2. |
Viviane Baladi, Masato TSUJII,Dynamical determinants and spectrum for hyperbolic diffeomorphisms,"Probabilistic and Geometric Structures in Dynamics", K. Burns, D. Dolgopyat and Ya. Pesin (eds), Contemp. Math. (Amer. Math. Soc.), Volume in honour of M. Brin's 60th birthday,29-68ページ,2008.10. |
| 3. |
辻井 正人,Decay of correlations in suspension semi-flow of angle-multiplying maps ,Ergodic Therory and Dynamical Systems (Cambridge),2007.12.  . |
Presentations
| 1. |
Decay of correlations and dynamical zeta functions for hyperbolic flows. |
Membership in Academic Society
- Japan Mathematical Society
Educational
Educational Activities
For education, I gave lectures on basic calculus and linear algebra for freshmen, on comlex function theory for senior students in the technology depatrment and also for students in mathematics department. In the lectures, I tried to let the student understand that mathematics is available in many aspects of real life and also in many braches of science. I also tried to present mathematics as a type of exact science.
Social
Professional and Outreach Activities
As a committee member of "Shakai-koukenn-suisin" committee at Faculty of Science, I organized several lectures for highschool studens. Also, as the chief of committee, I am running the ESSP program.
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