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Discrete mathematics in statistical physics : introductory lectures

Author: Martin Loebl
Publisher: Wiesbaden : Vieweg + Teubner, 2010.
Series: Advanced lectures in mathematics.
Edition/Format:   eBook : Document : English : 1st edView all editions and formats
Summary:
The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact,  Read more...
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Genre/Form: Electronic books
Textbooks
Lehrbuch
Additional Physical Format: Print version:
Loebl, Martin.
Discrete mathematics in statistical physics.
Wiesbaden : Vieweg + Teubner, 2010
(OCoLC)500818411
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Martin Loebl
ISBN: 9783834893291 3834893293 3528032197 9783528032197
OCLC Number: 663097017
Language Note: English.
Target Audience: Advanced graduate students in mathematics, physics and computer science. Researchers.
Description: 1 online resource (x, 187 pages) : illustrations.
Contents: Basic concepts --
to Graph Theory --
Trees and electrical networks --
Matroids --
Geometric representations of graphs --
Game of dualities --
The zeta function and graph polynomials --
Knots --
2D Ising and dimer models.
Series Title: Advanced lectures in mathematics.
Responsibility: Martin Loebl.
More information:

Abstract:

The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers. Basic concepts - Introduction to Graph Theory - Trees and electrical networks - Matroids - Geometric representations of graphs - Game of dualities - The zeta function and graph polynomials - Knots - 2D Ising and dimer models - Advanced Graduate Students in Mathematics, Physics and Computer Sciences - Researchers Prof. Dr. Martin Loebl, Dept. of Mathematics, Charles University, Prague.

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