Yushi NAKANO

Profile Information

Affiliation: Associate Professor, Faculty of Science Department of Mathematics, Hokkaido University

Degree: Doctor (Human and Environmental Studies)(May, 2015, Kyoto University)

J-GLOBAL ID: 201501001162832699
researchmap Member ID: B000244349

Research Interests

Research Areas

Natural sciences / Basic analysis / Dynamical systems theory, ergodic theory

Papers

A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics

Harry Crimmins, Yushi Nakano

Ergodic Theory and Dynamical Systems, Jun 20, 2023 Peer-reviewed
Historic and physical wandering domains for wild blender-horseshoes

Shin Kiriki, Yushi Nakano, Teruhiko Soma

Nonlinearity, 36(8) 4007-4033, Jun 16, 2023 Peer-reviewed
Observable Lyapunov irregular sets for planar piecewise expanding maps

Yushi Nakano, Teruhiko Soma, Kodai Yamamoto

Discrete and Continuous Dynamical Systems, Apr 1, 2023 Peer-reviewed
Arcsine law for random dynamics with a core

Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa, Kouji Yano

Nonlinearity, 36(3) 1491-1509, Mar 1, 2023 Peer-reviewed
Quenched limit theorems for random U(1) extensions of expanding maps

Yong Moo Chung, Yushi Nakano, Jens Wittsten

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 43(1) 338-377, Jan 4, 2023 Peer-reviewed
Topological entropy for countable Markov shifts and Exel--Laca algebras

Yuta Michimoto, Yushi Nakano, Hisayoshi Toyokawa, Keisuke Yoshida

Dec 30, 2022
Finitude of physical measures for random maps

Pablo G. Barrientos, Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa

Sep 19, 2022
Emergence via non-existence of averages

Shin Kiriki, Yushi Nakano, Teruhiko Soma

Advances in Mathematics, 400, May 14, 2022 Peer-reviewed
Abundance of Observable Lyapunov Irregular Sets

Shin Kiriki, Xiaolong Li, Yushi Nakano, Teruhiko Soma

Communications in Mathematical Physics, 391(3) 1241-1269, May, 2022 Peer-reviewed
(ランダム)力学系におけるLyapunov非正則集合の観測可能性—ランダム力学系および多価写像力学系理論の総合的研究

中野雄史

数理解析研究所講究録, (2217) 144-152, Apr, 2022
QUENCHED EXPONENTIAL MIXING FOR RANDOM EXPANDING SEMIFLOWS (Research on the Theory of Random Dynamical Systems and Fractal Geometry)

Nakano, Yushi

RIMS Kokyuroku, 2176 50-56, Apr, 2021
Large intersection classes for pointwise emergence

Nakano Yushi

RIMS Kokyuroku, 2181(2181) 103-111, Apr, 2021
Lyapunov Exponents for Random Maps

Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 27(12) 7657-7669, Mar 22, 2021 Peer-reviewed
Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems

Pablo G. Barrientos, Yushi Nakano, Artem Raibekas, Mario Roldan

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 37(2) 181-210, Mar 20, 2021 Peer-reviewed
Mixing and observation for Markov operator cocycles

Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa

NONLINEARITY, 35(1) 66-83, Sep 28, 2020 Peer-reviewed
Highly irregular orbits for subshifts of finite type: large intersections and emergence

Yushi Nakano, Agnieszka Zelerowicz

NONLINEARITY, 34(11) 7609-7632, Sep 1, 2020 Peer-reviewed
Historic behavior in nonhyperbolic homoclinic classes

Pablo G. Barrientos, Shin Kiriki, Yushi Nakano, Artem Raibekas, Teruhiko Soma

Proceedings of the American Mathematical Society, 148(3) 1195-1206, 2020 Peer-reviewed
Irregular sets for piecewise monotonic maps

Yushi Nakano, Kenichiro Yamamoto

TOKYO JOURNAL OF MATHEMATICS, 44(2) 495-506, Dec 27, 2019 Peer-reviewed
Existence and Non-existence of Length Averages for Foliations

Yushi Nakano, Tomoo Yokoyama

Communications in Mathematical Physics, 372(2) 367-383, Dec 1, 2019 Peer-reviewed
Spectra of expanding maps on besov spaces

Yushi Nakano, Shota Sakamoto

Discrete and Continuous Dynamical Systems- Series A, 39(4) 1779-1797, Apr, 2019 Peer-reviewed

Research Projects

Study of physical measures for random non-hyperbolic dynamics

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2023 - Mar, 2027
Dynamical systems with observable Lyapunov irregular sets

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2026
Existence and persistence of historic wandering domains for high-dimensional dynamical systems

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2026
ランダム力学系におけるホモクリニック接触の幾何と統計

科学研究費助成事業若手研究, 若手研究, 日本学術振興会, Apr, 2019 - Mar, 2023

中野雄史
Theoretical study of random dynamical systems through the approach of stochastic processes

Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Research (Exploratory), Grant-in-Aid for Challenging Research (Exploratory), Japan Society for the Promotion of Science, Jun, 2019 - Mar, 2022
ヒストリー的挙動を許容する可微分力学系の創発性の研究

科学研究費助成事業基盤研究(C), 基盤研究(C), 日本学術振興会, Apr, 2018 - Mar, 2022

相馬輝彦, 桐木紳, 中野雄史
Historic behavior of wandering domains for high dimensional dynamics

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2017 - Mar, 2021

Kiriki Shin
転移作用素のスペクトル構造の解析による確率安定性の研究

科学研究費助成事業特別研究員奨励費, 特別研究員奨励費, 日本学術振興会, 2011 - 2013

中野雄史

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