Programme:

Monday, 6 March, 2023

10:00-10:40 Yushi Nakano (Tokai University)

Existence and non-existence of Lyapunov exponents for (random) non-hyperbolic dynamical systems

11:00-11:40 Fumihiko Nakamura (Kitami Institute of Technology)

Some constrictive properties for Markov operators and physical measures

(Lunch break)

14:00-14:40 Hisayoshi Toyokawa (Kitami Institute of Technology)

Finitude of ergodic σ-finite invariant measures for Markov operators

15:00-15:40 Masato Tsujii (Kyushu University) 

Virtually expanding dynamics

Tuesday, 7 March, 2023

10:00-11:00 Alex Blumenthal (Georgia Institute of Technology, USA)

Chaotic dynamics of dynamical systems in fluid mechanics

11:20-12:00 Tsuyoshi Yoneda (Hitotsubashi University)

Mathematical reformulation of the Kolmogorov-Richardson energy cascade in terms of vortex stretching and related topics

(Lunch break)　

14:00-14:40 Zin Arai (Chubu University)

The Conley index and the topological dimension of hyperbolic Julia sets

15:00-15:40 Isaia Nisoli (UFRJ, Brazil / Hokkaido University)

Some recent results in the rigorous approximation of invariant densities

16:10-16:50 Hiroki Takahasi (Keio Institute of Pure and Applied Sciences)

Statistical properties of heterochaos baker maps

Wednesday, 8 March, 2023

10:00-11:00 Gary Froyland (University of New South Wales, Australia)

Transfer operator and dynamic Laplacian analysis of the ocean and climate

11:20-12:20 Masaru Inatsu (Hokkaido University)

Prediction skill and practical predictability depending on the initial atmospheric states in the extratropics

12:20-13:20 Poster session with free lunch　

13:20-17:00 Free discussion

18:00- Banquet

Thursday, 9 March,2023

10:00 -11:00 Suddhasattwa Das (Texas Tech University, USA)

Spatiotemporal patterns using Koopman operator analysis

11:20-12:00 Kengo Nakai (Tokyo University of Marine Science and Technology)

Constructing a data-driven model of intraseasonal weather time-series using machine learning

(Lunch break)

14:00-15:00 Valerio Lucarini (University of Reading, UK) 

Response theory and Koopmanism help us to understand the Climate Crisis (video talk)

15:20-16:00 Niccolo Zagli (Nordita, Sweden)

Response theory, reaction coordinates and critical phenomena in noisy interacting systems

16:20-17:00 Chiara Maiocchi (University of Reading, UK)

Heterogeneity of the Attractor of the Lorenz ’96 Model

Friday, 10 March, 2023

10:00-10:40 Yuzuru Sato (Hokkaido University)

Random dynamical system modeling for nonlinear dynamics with many degrees of freedom

11:00-11:40 Tsuyoshi Chawanya (Osaka University)

Non-trivial onset of non trivial collective behavior

(Lunch break)

14:00-14:40 Miki U Kobayashi (Rissho University)

Reconstruction of nonhyperbolic properties in chaotic dynamical systems by a data-driven model using reservoir computing.

15:00-15:40 Yoshitaka Saiki (Hitotsubashi University)

On some small models to understand high dimensional dynamics

16:10-17:10 Discussion

Home

Supported by

• JSPS Grant in aid for scientific research (B) "Theory and applications of stochastic chaos in SDEs" (PI: Yuzuru Sato)

Hokkaido Summer Institute, Hokkaido University "Introduction to computational ergodic theory" (PI: Yuzuru Sato)

• JSPS Grant in aid for scientific research (B) "Global analysis of chaotic dynamical systems by means of large deviations'' (PI: Hiroki Takahasi)

• JSPS Grant in aid for challenging research (Exploratory) "Challenge for solving Palis' conjecture by means of asymptotic hyperbolicity and Yoccoz's puzzle'' (PI: Hiroki Takahasi) 

• JSPS Fund for the Promotion of Joint International Research (Fostering Joint International Research (B)) "Intermittency due to hetero-chaotic property and its inference" (PI: Yoshitaka Saiki)

• JSPS Grant in aid for challenging research (Exploratory) "Expediting and Elaborating Business Forecast Using Machine Learning" (PI: Yoshitaka Saiki)