Statistical Mechanics, Integrability and Combinatorics

In Spring 2015, the Galileo Galilei Institute for Theoretical Physics hosted an eight-week Workshop on "Statistical Mechanics, Integrability and Combinatorics". The Workshop addressed a series of questions in the realm of exactly solvable models of statistical mechanics, featuring numerous...

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Bibliographic Details
Published in:Colle di Galileo Vol. 5; no. 1; p. 77
Main Authors: Fendley, Paul, Pronko, Andrei, Reshetikhin, Nicolai, Wiegmann, Paul, Zinn- Justin, Paul
Format: Journal Article
Language:English
Published: Firenze Firenze University Press 01.06.2016
Firenze University Press Università degli Studi di Firenze
Subjects:
Combinatorial analysis
Combinatorics
Probability theory
Statistical analysis
Statistical mechanics
Statistical models
Theoretical physics
ISSN:2281-7727, 2281-9711
Online Access:Get full text
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Summary:In Spring 2015, the Galileo Galilei Institute for Theoretical Physics hosted an eight-week Workshop on "Statistical Mechanics, Integrability and Combinatorics". The Workshop addressed a series of questions in the realm of exactly solvable models of statistical mechanics, featuring numerous ties and overlaps with various problems in modern combinatorics, probability theory, and representation theory. Much recent progress in these areas exploits the underlying notion of quantum integrability. We report here on the scientific motivations and background for this activity and on its main outputs. Keywords. Statistical mechanics, lattice models, quantum integrability, exact results, combinatorics, tilings, dimers, growth processes, limit shape phenomena, random matrices, random surfaces, determinantal processes, discrete holomorphicity.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:2281-7727
2281-9711
DOI:10.13128/Colle_Galileo-18330