An analysis of dissipative phenomena and intermittency in complex systems via a generalized variational principle

通过广义变分原理分析复杂系统中的耗散现象和间歇性

• 批准号: 19540109
• 负责人: YURI Michiko
• 金额: $ 2.91万
• 依托单位: Hokkaido University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2007
• 资助国家: 日本
• 起止时间: 2007 至 2008
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540109/
• 关键词: Dissipative phenomena; Intermittency; Phase transition; Variational principle; Weak Gibbs measure; Nonhyperbolicity; Equilibrium state; Irreversibility; Variational Principle; Non-hynerbolicity; Non-hyperbolicity

Sofic条件を満たす可算生成分割を保持する非可逆離散写像に対し、非特異測度に関するtransfer operatorを介在しエントロピー生成の時間発展の漸近平均を捉え、この量が消滅する事が、両側非特異測度に関する一般化されたエントロピーにどのような影響を与えるかを明らかにした。更にindifferent periodic pointを持つ時、絶対連続な不変確率測度に関する時間相関関数の減少のオーダーが多項式的である事を、indifferent periodic pointの近傍の測度減少のオーダーが劣指数的となる事と関連付け証明した。

Sofic condition: computable generation, partition, non-invertible discrete image, non-specific measure, transfer operator, asymptotic average of time evolution, non-specific measure, generalization, non-specific measure, influence, etc. In addition, the independent periodic point is dependent on the time, the absolute correlation, the uncertainty measure, the time dependent correlation, the polynomial, the independent periodic point, the proximity measure, the reduction, the absolute correlation, the exponential correlation, and the proof.

项目成果

A generalized variational principle for non-stationary process and a realization of the infinite past

非平稳过程的广义变分原理与无限过去的实现

• 发表时间: 2008
• 作者: Michiko Yuri;Michiko Yuri;Michiko Yuri;Michiko Yuri;Michiko Yuri;Michiko Yuri
• 通讯作者: Michiko Yuri

Entropy production at weak Gibbs measures and a generalized variational principle

弱吉布斯测度下的熵产生和广义变分原理

• 发表时间: 2009
• 期刊: Ergodic Theory and Dynamical systems (to appear)
• 作者: Michiko Yuri

Polynomial decay of correlations for intermittent sofic systems

间歇性SOFIC系统相关性的多项式衰减

• 发表时间: 2008
• 期刊: Discrete and Continuous dynamical systems 22
• 作者: Michiko Yuri;Michiko Yuri;Michiko Yuri
• 通讯作者: Michiko Yuri