広島大学

Basic Information

Academic Degrees

• Doctor of Science, Tokyo Metropolitan University
• Master of Science, Tokyo Metropolitan University

Research Fields

• Mathematical and physical sciences;Mathematics;Basic analysis

Research Keywords

• Dynamical Systems
• Ergodic Theory

Affiliated Academic Societies

• Mathematical Society of Japan
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Educational Activity

Course in Charge

1. 2023, Undergraduate Education, 3Term, Applied Mathematics I
2. 2023, Undergraduate Education, 1Term, Probability and Statistics
3. 2023, Undergraduate Education, 1Term, Probability and Statistics
4. 2023, Graduate Education (Master's Program) , 1Term, Special Exercises on Electrical, Systems, and Control Engineering A
5. 2023, Graduate Education (Master's Program) , 2Term, Special Exercises on Electrical, Systems, and Control Engineering A
6. 2023, Graduate Education (Master's Program) , 3Term, Special Exercises on Electrical, Systems, and Control Engineering B
7. 2023, Graduate Education (Master's Program) , 4Term, Special Exercises on Electrical, Systems, and Control Engineering B
8. 2023, Graduate Education (Master's Program) , Academic Year, Special Study on Electrical, Systems, and Control Engineering
9. 2023, Graduate Education (Master's Program) , 4Term, Mathematics E
10. 2023, Graduate Education (Doctoral Program) , Academic Year, Special Study on Electrical, Systems, and Control Engineering

Research Activities

Academic Papers

1. Large deviation principle for piecewise monotonic maps with density of periodic measures (co-author: Kenichiro Yamamoto), Ergodic Theory and Dynamical Systems, 43, 861-872, 202303
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2. Quenched limit theorems for random U(1) extensions of expanding maps (co-authors: Yushi Nakano and Jens Wittsten), Discrete and Continuous Dynamical Systems, 43(1), 338-377, 202301
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3. Large deviation principle for S-unimodal maps with flat critical points (co-author: Hiroki Takahasi), Journal of the Mathematical Society of Japan, 74(1), 129-150, 202201
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4. ★, Large deviation principle in one-dimensional dynamics (co-author: Juan Rivera-Letelier; Hiroki Takahasi), Inventiones Mathematicae, 218(3), 853-888, 20190717
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5. Multifractal formalism for Benedicks-Carleson quadratic maps (co-author: H. Takahasi), Ergodic Theory and Dynamical Systems, 34, 1116-1141, 201408
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6. Large Deviation Principle for Benedicks-Carleson Quadratic Maps (co-author: H. Takahasi), Communications in Mathematical Physics, 315(3), 803-826, 201211
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7. ★, Large deviations on Markov towers, Nonlinearity, 24(4), 1229-1252, 201104
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8. Birkhoff spectra for one-dimensional maps with some hyperbolicity, Stochastics and Dynamics, 10(1), 53-75, 201003
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9. Topological entropy and periodic orbits of saddle type for surface diffeomorphisms (co-author: M. Hirayama), Hiroshima Mathematical Journal, 33(2), 189-196, 200307
10. Expanding periodic orbits with small exponents, Journal of Difference Equations and Applications, 9(3-4), 337-341, 200304
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11. Topological entropy for differentiable maps of intervals, Osaka Journal of Mathematics, 38(1), 1-12, 200103
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12. Shadowing property of non-invertible maps with hyperbolic measures, Tokyo Journal of Mathematics, 22(1), 145-166, 199906
13. Topological properties of differentiable maps derived from 2-toral endomorphisms (co-authors: K. Tomioka and N. Aoki), Topology and its Applications, 82, 105-123, 199804
14. Hausdorff dimension of basic sets for non-invertible maps (co-author: R. Shitamatsu), Mathematica Japonica, 48(2), 291-299, 199804
15. The largeness of sets of points with non-dense orbit in basic sets on surface, Prodeedings of the American Mathematical Society, 124(5), 1615-1624, 199605
16. Generecity for C^1 maps on surfaces (co-author: K.B. Lee), Proceedings of the International Conference on Dynamical Systems and Chaos (Hachioji= 1994), 1, 18-20, 199505

External Funds

Acceptance Results of Competitive Funds

1. KAKENHI, 2020/04, 2024/03
2. KAKENHI, 2016/04, 2020/03
3. KAKENHI, 2012/04, 2016/03
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4. KAKENHI, 2005/04, 2008/03
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Social Activities

History as Committee Members

1. Editorial board member of "Sugaku", 2018/07, 2022/06, Mathematical Society of Japan