Home page of Hisayoshi Toyokawa

Name: Hisayoshi Toyokawa (豊川永喜)

Sex: Male

Date of birth: 18th December 1993

Place of birth: Tokyo

Nationality: Japanese

Present address: Faculty of Engineering, Kitami Institute of Technology, 165 Koen-cho, Kitami, Hokkaido 090-8507, JAPAN

e-mail address: h_toyokawa`at'mail.kitami-it.ac.jp

Ergodic Theory and Random Dynamical Systems, Infinite Ergodic Theory

2018 - 2021: Ph.D., Department of Mathematics, Graduate School of Science, Hokkaido University. (Supervisor: Prof. Michiko Yuri)

2016 - 2018: M.Sc., Department of Mathematics, Graduate School of Science, Hokkaido University. (Supervisor: Prof. Michiko Yuri)

2012 - 2016: B.Sc., Department of Mathematics, Hokkaido University.

2022 - present: Assistant Professor at the faculty of engineering of Kitami Institute of Technology, Japan.

2021 - 2022: Assistant Professor at Institute of Mathematics for Industry of Kyushu University, Japan.

Conservative and ergodic $\sigma$-finite invariant measures for Markov operators and Darling--Kac law, accepted for publication in Hokkaido Mathematical Journal.
Finitude of physical measures for random maps, with Pablo G. Barrientos, Fumihiko Nakamura and Yushi Nakano, Astérisque, Vol. 459 (2025): pp 103.
Invariant measures for random piecewise convex maps, with Tomoki Inoue, Nonlinearity, Vol. 37 (2024): 055016.
Random invariant densities for Markov operator cocycles and random mean ergodic theorem, with Fumihiko Nakamura, Stochastics and Dynamics, Vol. 24 (2024): 2450009.
Arcsine law for random dynamics with a core, with Fumihiko Nakamura, Yushi Nakano and Kouji Yano, Nonlinearity, Vol. 36 (2023): 1491-1509.
Lyapunov exponents for random maps, with Fumihiko Nakamura and Yushi Nakano, Discrete and Continuous Dynamical Systems Series B, Vol. 27 (2022): 7657-7669.
Mixing and observation for Markov operator cocycles, with Fumihiko Nakamura and Yushi Nakano, Nonlinearity, Vol. 35 (2022): 66-83.
Stability of energy landscape for Ising models, with Bruno Hideki Fukushima-Kimura, Akira Sakai and Yuki Ueda, Physica A, Vol. 583 (2021): 126208.
On the existence of a $\sigma$-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part, Stochastics and Dynamics, Vol. 21 (2021): 2140003.
$\sigma$-finite invariant densities for eventually conservative Markov operators, Discrete and Continuous Dynamical Systems A, Vol. 40 (2020): 2641-2669.

区分的に凸なランダム写像の不変測度について (in Japanese)，井上友喜先生との共著，数理解析研究所講究録 2217 (2022): 127-136.
$\sigma$-finite acims for weakly expanding random maps with uniformly contractive branches, RIMS Kôkyûroku (数理解析研究所講究録) 2181 (2021): 45-51.
On the existence of absolutely continuous $\sigma$-finite invariant measures for random dynamical systems, RIMS Kôkyûroku (数理解析研究所講究録) 2176 (2021): 132-137.
$\sigma$-finite invariant densities for essentially conservative Markov operators via the induced operator (in Japanese), 北海道大学数学講究録 Vol. 176, (2019): 483-490.
Absolutely continuous invariant measures for non-Markov fibred systems deriving from Banach limits, Hokkaido University technical report series in Mathematics (北海道大学数学講究録) Vol. 172, (2018): 56-61.

2020 - present: Hokkaido Dynamical Web Seminar, Organizer
2021: Workshop on Operator Algebras and Dynamical Systems, Organizer
2019 -2020: The 16th Mathematics Conference for Young Researchers, (cancelled due to COVID-19) Representative organizer
2018 - 2019: The 15th Mathematics Conference for Young Researchers, Organizer

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