Kyushu University [Tsujii Masato (Professor) Faculty of Mathematics, Department of Mathematics]

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

Transfer operators for geodesic flows and the semi-classical zeta function
keyword : geodesic flow, transfer operators, the semi-classical zeta functions
2010.04～2015.03.
Functional analytic methods in dynamical systems theory
keyword : hypebolic dynamical systems, transfer operators, dynamical zeta functions
2006.04～2010.03.

Academic Activities

Papers

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1.	Tsujii Masato,Contact Anosov flows and the Fourier–Bros–Iagolnitzer transform,Ergodic theory and Dynamical systems (Cambridge University Press),Vol.32,No.6,2012.10.
2.	辻井　正人,Quasi-compactness of transfer operators for contact Anosov flows,Nonlinearity,2010.02.
3.	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.
4.	辻井　正人,Decay of correlations in suspension semi-flow of angle-multiplying maps ,Ergodic Therory and Dynamical Systems (Cambridge),2007.12. .

Presentations

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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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[URL]English version.

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English version.