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401-5004-20L DR D-MATH

Limit Shape Phenomenon in Integrable Models in Statistical Mechanics

Lecturers: Dr. Nicolai Reshetikhin
VVZ CR n/a

Last Updated: 2026-02-05 15:41:22

Abstract

Nachdiplom lecture

Content

The limit shape phenomenon for large lattice domains is the formation of the most probable state, such that all states that macroscopically differ from it are exponentially improbable. This is a rather general phenomenon of similar nature to the central limit theorems and to the large deviation principle in probability theory. Integrable models in statistical mechanics in many cases admit rather explicit solutions. This not a definition of integrability, but one of the important conse- quences. This allows us to describe many features of the limit shape phenome- non quite explicitly and to prove some important facts about them. The course will consist roughly of three parts: one is on limit shapes, the other is on integrability and the third one is about limit shapes in integrable models. The course is aimed at both mathematics and physics students.

General Information

Language
English
Levels
DR

Examination

Type
no performance assessment

Course Components

Type Title Time & Place Hours
lecture Limit Shape Phenomenon in Integrable Models in Statistical Mechanics
  • Mon 10:15-12:00 (HG G 43)
2 h weekly

Offered In

  • Doctoral Department of Mathematics (More Information at: The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM. WARNING: Do not mistake ECTS credits for credit points for doctoral studies!)