Yong Moo Chung

Last Updated :2024/05/07

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor
E-mail
yongmoohiroshima-u.ac.jp
Self-introduction
I study the ergodic theory of smooth dynamical systems, especially the limit theorems regarding time averages along the trajectories of non-uniformly hyperbolic systems.

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

Educational Activity

Course in Charge

  1. 2024, Undergraduate Education, 3Term, Applied Mathematics I
  2. 2024, Undergraduate Education, 1Term, Probability and Statistics
  3. 2024, Undergraduate Education, 1Term, Probability and Statistics
  4. 2024, Graduate Education (Master's Program) , 1Term, Special Exercises on Electrical, Systems, and Control Engineering A
  5. 2024, Graduate Education (Master's Program) , 2Term, Special Exercises on Electrical, Systems, and Control Engineering A
  6. 2024, Graduate Education (Master's Program) , 3Term, Special Exercises on Electrical, Systems, and Control Engineering B
  7. 2024, Graduate Education (Master's Program) , 4Term, Special Exercises on Electrical, Systems, and Control Engineering B
  8. 2024, Graduate Education (Master's Program) , Academic Year, Special Study on Electrical, Systems, and Control Engineering
  9. 2024, Graduate Education (Master's Program) , 2Term, Advanced Applied Mathematical Sciences
  10. 2024, 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
    Link to Paper Search Results by DOI
  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
    Link to Paper Search Results by DOI
  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, 2024/04, 2028/03
  2. KAKENHI, 2020/04, 2024/03
  3. KAKENHI, 2016/04, 2020/03
  4. KAKENHI, 2012/04, 2016/03
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  5. 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