Discrete Mathematics in Statistical Physics

Introductory Lectures

  • Martin Loebl

Table of contents

  1. Front Matter
    Pages I-X
  2. Martin Loebl
    Pages 1-11
  3. Martin Loebl
    Pages 13-49
  4. Martin Loebl
    Pages 51-64
  5. Martin Loebl
    Pages 65-75
  6. Martin Loebl
    Pages 77-100
  7. Martin Loebl
    Pages 101-117
  8. Martin Loebl
    Pages 119-139
  9. Martin Loebl
    Pages 141-155
  10. Martin Loebl
    Pages 157-171
  11. Back Matter
    Pages 173-187

About this book

Introduction

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

Keywords

Combinatorics Graph theory enumeration function graph linear optimization partition quantum knot invariant spin glasses statistical physics

Authors and affiliations

  • Martin Loebl
    • 1
  1. 1.Department of Applied Mathematics, Institut of Theoretical Computer ScienceCharles UniversityPrahaTschechische Republik

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-8348-9329-1
  • Copyright Information Vieweg+Teubner Verlag | GWV Fachverlage GmbH, Wiesbaden 2010
  • Publisher Name Vieweg+Teubner
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-528-03219-7
  • Online ISBN 978-3-8348-9329-1
  • About this book
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