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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
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Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Around the Ising Model in 80 days
Around the Ising Model in 80 days
This is a continuation of my BIMSA lectures given in 2022-23, where I was discussing the 2D Ising model, as well as thе independent percolation.
This year I will start with the random surfaces, as they appear in the statistical mechanics. They are the interfaces separating phases in the models undergoing phase transitions, with several phases below the critical temperature. Then I will proceed to the models with continuous symmetry.
Keywords: phase transition, criticality, correlation decay, Gibbs state, Markov random field, conformal invariance,… All will be explained in full details.
Lecturer
Senya Shlosman
Date
21st September ~ 8th December, 2023
Location
Weekday Time Venue Online ID Password
Thursday,Friday 13:30 - 15:05 Shuangqing-C641 ZOOM 01 928 682 9093 BIMSA
Prerequisite
Undergraduate Probability: Independent events, Laws of large numbers. Basic measure theory and functional analysis.
Syllabus
Random interfaces
Surface tension.
Interfaces, and the roughening phenomenon.
The shape of the droplet and the Wulf construction.
Potts model and its critical point.

Models with continuous symmetry
Mermin-Wagner theorem.
Commutative versus noncommutative symmetry groups.
Reflection Positivity.
The Berezinskii–Kosterlitz–Thouless transition.
Audience
Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Senya Shlosman obtained his PhD in 1978, from the St.-Petersburg branch of Steklov institute. His adviser was Roland Dobrushin. He obtained his second PhD (habilitation) in 1989, from the Ukrainian Institute of Mathematics. From 1991 he was Professor of the Dept. of Math., UC Irvine. He moved to France in 1996, getting the position of Directeur de Recherche in CPT, CNRS, Luminy, Marseille. Currently he is a leading scientific researcher in the Institute for Information Transmission Problems of the Academy of Science, Moscow, and Professor of the Center for Advance Studies in Skolkovo Inst. of Technology, Moscow.
Beijing Institute of Mathematical Sciences and Applications
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