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제목 [학술세미나] [학과세미나] 4월 6일(금) 17시 학과세미나 안내
작성일 2018-03-30 17:19:58
내용 [학과세미나] 4월 6일(금) 17시 학과세미나 안내

▪ 제목 : Cutoff phenomenon for Ferromagnetic systems
▪ 연사 : 서인석 (서울대 수리과학부)
▪ 일시 : 2018년 4월 6일(금) PM 17:00 – 18:00
▪ 장소 : 25동 405호

[초 록] 
The general theory implies that the distribution of an irreducible Markov chain converges to its stationary distribution as time diverges to infinity. The speed of corresponding convergence is a significant issue in the study of mathematical physics or MCMC. In particular, this speed is exponentially slow under the presence of metastability. In this presentation, we shall focus on the other case; absence of metastability. We will observe a peculiar behavior known as the cut-off phenomenon. In this presentation, we introduce the cut-off phenomenon and explain its universal appearance in ferromagnetic systems.
 
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