Synchronization in Markov random networks

：王式柔（吉林大学）
：2022-04-19 15:00
：腾讯会议ID：286 690 565（无密码）

报告人：王式柔（吉林大学）

时  间：4月19日下午15:00

地  点：腾讯会议ID：286 690 565（无密码）

内容摘要:

Many complex biological and physical networks are naturally subject to both random influences, i.e., extrinsic randomness, from their surrounding environment, and uncertainties, i.e., intrinsic noise, from their individuals. Among many interesting network dynamics, of particular importance is the synchronization property which is closely related to the network reliability especially in cellular bio-networks. This talk presents an appropriate framework of (discrete-state and discrete time) Markov random networks to incorporate both extrinsic randomness and intrinsic noise into the rigorous study of such synchronization and desynchronization scenario. It is shown that if a random network without intrinsic noise perturbation is synchronized, then after intrinsic noise perturbation high-probability synchronization and low-probability desynchronization can occur intermittently and alternatively in time, and moreover, both the probability of (de)synchronization and the proportion of time spent in (de)synchrony can be explicitly estimated. Further problems related to this topic will also be discussed.

个人简介：

王式柔，吉林大学教授，2016年博士毕业于北京大学，2016-2019年期间，先后在中国科学院数学与系统科学研究院，加拿大阿尔伯塔大学从事博士后研究，2019年成为太平洋数学科学研究所（PIMS）博士后，在加拿大阿尔伯塔大学及美国华盛顿大学PIMS博士后站从事博士后研究。王式柔的研究领域为动力系统与遍历理论，研究工作主要侧重于刻画复杂与随机系统的稳定性及动力学复杂性，研究成果发表在Comm. Math. Phys., Math. Z., Ergodic Theory Dynam. Systems等国际学术期刊上。

 

联系人：朱玉峻