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Tsujii Masato Last modified date:2015.10.24

Professor / Faculty of Mathematics
Department of Mathematics
Faculty of Mathematics


Graduate School
Undergraduate School


Homepage
[URL].
[URL]
English version.
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). I study transfer operators associated to dynamical systems by using methods of functional analysis such as Fourier analysis and semi-classical analysis. My main target of research now is the geodesic flows 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.

For contribution to the society, I am convinced that my main contribution should be to educate the student and develop their talents. I am organizing the ESSP program for talented high school student in 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
1. Tsujii Masato,Geodesic flows on negatively curved manifolds and the semi-classical zeta function,日本数学会,2014.07.
2. Tsujii Masato,On the Fourier transforms of self-similar measures,2015.11.
3. Tsujii Masato,Band structure of the Ruelle spectrum of contact Anosov flows,COMPTES RENDUS MATHEMATIQUE,Vol.351,No.9-10,pp.385-391,2013.05.
4. 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.
5. 辻井 正人,Quasi-compactness of transfer operators for contact Anosov flows,Nonlinearity,2010.02.
6. 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.
7. 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. Tsujii Masato,The error term of The prime Orbit Theorem for expanding semi-flows,国際数学者会議(ICM2014)サテライト会議 Dynamical systems and related topics,2015.06.18.
2. Tsujii Masato,Spectrum of transfer operators for expanding semi-flows.,国際数学者会議(ICM2014)サテライト会議 Dynamical systems and related topics,2014.08.11.
3. Tsujii Masato,Resonances for geodesic flows on negatively curved manifolds,国際数学者会議(ICM2014),2014.08.14.
4. 辻井 正人,Geodesic flows on negatively curved manifolds and the semi-classical zeta function,Measurable and Topological Dynamical Systems,  Keio 2013,2013.12.11,[URL].
5. Tsujii Masato,Spectrum of geodesic flow on negatively curved manifold,Hyperbolicity and Dimension,2013.12.05,[URL].
6. Tsujii Masato,The semi-classical zeta function,ICTP-ESF School and Conference in Dynamical Systems,2012.06.07.
7. Decay of correlations and dynamical zeta functions for hyperbolic flows. .
Membership in Academic Society
  • Japan Mathematical Society
Awards
  • Functional analytic methods in smooth ergodic theory.
Educational
Educational Activities
For education, I am in charge of lectures on basic calculus and linear algebra for freshmen, those for senior students in the technology depatrment and those for students in mathematics department in usual years. This year, I teach a class of Calculus (2 semester) and Linear algebra (1 semester) for freshman and Basic mathematics 1 for the second year students in mathematics department.
Social
Professional and Outreach Activities
As the chief of committee, I am running the ESSP program.