熵多种群动力系统的平均场极限。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.1007/s00032-022-00375-w

Stefano Almi, Claudio D'Eramo, Marco Morandotti, Francesco Solombrino

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引用次数: 1

摘要

在一般假设条件下，证明了具有熵正则化的多种群动力系统的适定性及其收敛于合适的平均场近似。在进一步假设标签演化的前提下，考虑了智能体位置和标签动态之间存在不同时间尺度的情况。该极限系统耦合了位置空间中的平均场型演化和标签空间中收益泛函的瞬时优化。

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Mean-Field Limits for Entropic Multi-Population Dynamical Systems.

The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the agents' locations and labels dynamics is considered. The limit system couples a mean-field-type evolution in the space of positions and an instantaneous optimization of the payoff functional in the space of labels.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.