KATSUKUNI NAKAGAWA

Last Updated :2020/12/01

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Assistant Professor
E-mail
ktnakagawahiroshima-u.ac.jp
Other Contact Details
Kagamiyama 1-3-1, Higashi-Hiroshima, Japan, Japan
TEL : (+81)82-424-7340 FAX : (+81)
Self-introduction
My research areas are dynamical systems, ergodic theory and fractal geometry.

Basic Information

Educational Backgrounds

  • Hiroshima University, Graduate School of Science , Japan, 2013/04, 2017/03
  • Hiroshima University, Graduate School of Science , Japan, 2011/04, 2013/03
  • Hiroshima University, Faculty of Science, Japan, 2005/04, 2011/03

Academic Degrees

  • Hiroshima University
  • Hiroshima University

Educational Activity

  • 【Bachelor Degree Program】School of Science : Mathematics
  • 【Master's Program】Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Mathematics Program
  • 【Doctoral Program】Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Mathematics Program

In Charge of Primary Major Programs

  • Mathematics

Research Fields

  • Mathematical and physical sciences;Mathematics;Basic analysis

Research Keywords

  • Dynamical systems, Ergodic Theory, Fractal Geometry

Affiliated Academic Societies

  • The Mathematical Society of Japan

Educational Activity

Course in Charge

  1. 2020, Undergraduate Education, 2Term, Exercises in Analysis III
  2. 2020, Undergraduate Education, 4Term, Exercises in Analysis II
  3. 2020, Graduate Education (Master's Program) , First Semester, Seminar of Probability
  4. 2020, Graduate Education (Master's Program) , Second Semester, Seminar of Probability
  5. 2020, Graduate Education (Master's Program) , Academic Year, Probability Seminar
  6. 2020, Graduate Education (Master's Program) , Academic Year, Probability Seminar

Research Activities

Academic Papers

  1. Compactness of transfer operators and spectral representation of Ruelle zeta functions for super-continuous functions, Discrete and Continuous Dynamical Systems, 40(11), 6331-6350, 202011
  2. Decomposition of Normal Operators and Its Application to Spectral Theorem, International Journal of Functional Analysis, Operator Theory and Applications, 12(1), 37-44
  3. Rigidity of entropy spectra for one-sided topological Markov chains, RIMS Kôkyûroku, 68-72
  4. Multifractal rigidity for piecewise linear Markov maps, Stochastics and Dynamics, 17(1), 1750006-1-1750006-26
  5. A counterexample to the multifractal rigidity conjecture of piecewise linear Markov maps of the interval, Dynamical Systems, 31, 466-482

Invited Lecture, Oral Presentation, Poster Presentation

  1. Multifractal rigidity of self-similar sets, Katsukuni Nakagawa, Ergodic theory and related fields, 2014/12, Without Invitation, English, Kumamoto University
  2. Rigidity for dimension spectra of piecewise linear Markov maps, Katsukuni Nakagawa, RIMS Workshop: Dynamical Systems-Joint Exploration of Theory and Application, 2017/06, Without Invitation, English, Kyoto University
  3. Rigidity of entropy spectra for one-sided topological Markov chains, Katsukuni Nakagawa, RIMS Workshop: Integrated Research on the Theory of Random Dynamical Systems, 2017/09, Without Invitation, Japanese, Research Institute for Mathematical Sciences, Kyoto University
  4. Compactness of Transfer Operators and Spectral Representation of Ruelle Zeta Functions for Super-continuous Functions, Katsukuni Nakagawa, RIMS Workshop: Problems on mathematical science and new development in the theory of dynamical systems, 2020/09, Without Invitation, English, Research Institute for Mathematical Sciences, Kyoto University (Online via Zoom)