We investigate the behaviour of a finite chain of Brownian particles, interacting through a pairwise linear force, with one end of the chain fixed and the other end pulled away at slow speed, in the limit of slow speed and small Brownian noise.
We study the instant when the chain ''breaks'', that is, the distance between two neighbouring particles becomes larger than a certain threshold. There are three different regimes depending on the relation between the speed of pulling and the Brownian noise. We provide weak limit theorems for the break time and the break position for each regime.
This is a joint work with F.Aurzada and V.Betz from Darmstadt TU, Germany.
8月3日
3:00pm - 4:00pm
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地点
Lecture Theater G (near Lifts 25/26) OR https://hkust.zoom.us/j/94416312281 (Passcode : 719252)
讲者/表演者
Mikhail LIFSHITS
Professor, St. Petersburg State University; Visiting Professor, HKUST; HKUST Red Bird Visiting Scholar
Professor, St. Petersburg State University; Visiting Professor, HKUST; HKUST Red Bird Visiting Scholar
主办单位
Department of Mathematics
联系方法
付款详情
对象
Alumni, Faculty and staff, PG students, UG students
语言
英语
其他活动
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11月22日
研讨会, 演讲, 讲座
IAS / School of Science Joint Lecture - Leveraging Protein Dynamics Memory with Machine Learning to Advance Drug Design: From Antibiotics to Targeted Protein Degradation
Abstract
Protein dynamics are fundamental to protein function and encode complex biomolecular mechanisms. Although Markov state models have made it possible to capture long-timescale protein co...
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11月8日
研讨会, 演讲, 讲座
IAS / School of Science Joint Lecture - Some Theorems in the Representation Theory of Classical Lie Groups
Abstract
After introducing some basic notions in the representation theory of classical Lie groups, the speaker will explain three results in this theory: the multiplicity one theorem for classical...