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J-GLOBAL ID：202001019872263232
Update date: Feb. 01, 2024
Toyokawa Hisayoshi
トヨカワ ヒサヨシ | Toyokawa Hisayoshi
Affiliation and department：
Job title：
Assistant professor
Homepage URL (1)：
https://sites.google.com/view/htoyokawa/
Research field (1)：
Basic analysis
Research keywords (4)：
infinite ergodic theory
, random dynamical systems
, ergodic theory
, dynamical systems
Research theme for competitive and other funds (2)：
- 2019 - 2023 Theoretical study of random dynamical systems through the approach of stochastic processes
- 2021 - 2023 Construction of Infinite Invariant Measures for Dissipative Random Dynamical Systems and Application to Infinite Mixing
Papers (7)：
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Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa, Kouji Yano. Arcsine law for random dynamics with a core. NONLINEARITY. 2023. 36. 3. 1491-1509
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Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa. Mixing and observation for Markov operator cocycles. Nonlinearity. 2022. 35. 1. 66-83
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Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa. Lyapunov exponents for random maps. Discrete & Continuous Dynamical Systems - B. 2022. 27. 12. 7657-7669
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Bruno Hideki Fukushima-Kimura, Akira Sakai, Hisayoshi Toyokawa, Yuki Ueda. Stability of energy landscape for Ising models. Physica A: Statistical Mechanics and its Applications. 2021. 583. 126208-126208
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Hisayoshi Toyokawa. Absolutely continuous $\sigma$-finite invariant measures for Markov operators and dissipative behavior of random dynamical systems. 2021
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MISC (4)：
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Hisayoshi Toyokawa. $\sigma$-finite acims for weakly expanding random maps with uniformly contractive branches. RIMS K\^{o}ky\^{u}roku. 2021. 2181. 45-51
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Hisayoshi Toyokawa. On the existence of absolutely continuous $\sigma$-finite invariant measures for random dynamical systems. RIMS K\^{o}ky\^{u}roku. 2021. 2176. 132-137
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Hisayoshi Toyokawa. $\sigma$-finite invariant densities for essentially conservative Markov operators via the induced operator. Hokkaido University technical report series in Mathematics. 2019. 176. 483-490
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Hisayoshi Toyokawa. Absolutely continuous invariant measures for non-Markov fibred systems deriving from Banach limits. Hokkaido University technical report series in Mathematics. 2018. 172. 56-61
Lectures and oral presentations (27)：
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Mean constrictivity and ergodic $\sigma$-finite invariant measures for Markov operators
(2022)
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Finitude of ergodic $\sigma$-finite invariant measures for Markov operators
(Recent Progress in Ergodic Theory 2022)
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$\sigma$-finite invariant measures for Markov operators and the ratio sets for non-invertible transformations
(ワークショップ「作用素環と力学系」 2021)
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マルコフ作用素に対する不変測度の存在と一次元ランダム力学系への応用
(確率論研究会 2021)
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Invariant measures for random piecewise convex maps with the common indifferent fixed point
(2021)
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Education (3)：
- 2018 - 2021 Hokkaido University Graduate School of Science Department of Mathematics
- 2016 - 2018 Hokkaido University Graduate School of Science Department of Mathematics
- 2012 - 2016 Hokkaido University School of Science
Work history (2)：
- 2022/02 - 現在 Kitami Institute of Technology Assistant professor
- 2021/04 - 2022/01 Kyushu University Institute of Mathematics for Industry
Committee career (3)：
- 2020/05 - 現在 Hokkaido Dynamical Systems Webinar
- 2019/04 - 2020/03 The 16th Mathematics Conference for Young Researchers Representative organizer
- 2018/04 - 2019/03 The 15th Mathematics Conference for Young Researchers Organizer
Awards (1)：
- 2018/04 - 北海道大学大学院理学院 大学院理学院 優秀研究奨励賞
Association Membership(s) (1)：
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