Kyoto Dynamics Days:

Random Dynamical Systems Theory and Its Applications


Program:


Monday, 24 April

13:25 H. Kokubu (Kyoto University)
Opening

13:30-14:20 J. Lamb (Imperial College London)
Towards a bifurcation theory for random dynamical systems

14:30-15:20 A. J. Homburg (University of Amsterdam)
Random interval maps

15:30-16:20 M. Rasmussen (Imperial College London)
Pitchfork bifurcation with (bounded) additive noise: setvalued dynamics and dichotomy spectrum

16:30-17:20 Y. Sato (Hokkaido University)
Noise-induced bifurcations in a random logistic map


Tuesday, 25 April

10:00-10:50 A. J. Homburg (University of Amsterdam)
From random diffeomorphisms to partially hyperbolic diffeomorphisms

11:00-11:50 H. Takahasi (Keio University)
Lyapunov optimizing measures of non-generic one-dimensional expanding Markov maps

13:30-14:20 L. Chen (Chinese Academy of Sciences)
Detecting early-warning signals of complex diseases by dynamic network biomarkers

14:30-15:20 Y. M. Chung (Hiroshima University)
Large deviations in deterministic/random dynamical systems


Wednesday, 26 April

10:00-10:50 M. Engel (Imperial College London)
Quasistationary dynamics and bifurcations of random dynamical systems

11:00-11:50 T. Chawanya (Osaka University)
Bifurcation phenomena of strange non-chatic attractors in quasi-periodically forced logistic map

13:30-14:20 Y. Sato (Hokkaido University)
Anomalous diffusion and intermittency in random dynamical systems

14:30-15:20 T. Ohira (Nagoya University)
Interplay between randomness and delay


Thursday, 27 April

10:00-10:50 J. Jaerisch (Shimane University)
Multifractal analysis of the limiting behaviour in random complex dynamics

11:00-11:50 H. Sumi (Kyoto University)
Finding roots of any polynomials by random relaxed Newton's methods

13:30-14:20 M. Rasmussen (Imperial Colege London)
The classification of one-dimensional random dynamical systems by topological conjugacy

14:30-15:20 T. Inoue (Ehime University)
Invariant measures for position dependent random maps with neutral fixed points

15:30-15:50 S. Suzuki (Osaka City University) (short talk)
Invariant density functions of random beta-transformations

16:00-16:20 F. Nakamura (Hokkaido University) (short talk)
Asymptotic behavior of Nagumo-Sato model with additive noises

16:30-16:50 Y. Nakano (Kitami Institute of Technology) (short talk)
Historic behavior for virtually random dynamical systems

17:00-17:20 K. Shimogai (Shimane University) (short talk)
Evaluating the complexity of some random walks on countable groups

18:00- Workshop dinner (Coop cafeteria on north campus, 2F)


Friday, 28 April

10:00-10:50 H. Sumi (Kyoto University)
Stability and bifurcation in random complex dynamics

11:00-11:20 T. S. Doan (Hokkaido University/Vietnam Academy of Sciences and Technology) (short talk)
On the continuity of Lyapunov exponent in random dynamical systems

11:30-12:30 J. Lamb (Imperial College London)
On the problem of Hopf bifurcation with additive noise (and summary of the workshop)


Organisers:

Hiroshi Kokubu (Kyoto University), kokubu_at_math.kyoto-u.ac.jp
Yuzuru Sato (Hokkaido University), ysato_at_math.sci.hokudai.ac.jp
Hiroki Sumi (Kyoto University), sumi_at_math.h.kyoto-u.ac.jp
Kouji Yano (Kyoto University), kyano_at_math.kyoto-u.ac.jp