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Discrete Mathematics in Statistical Physics : Introductory Lectures / by Martin Loebl

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Wiesbaden : Vieweg+Teubner Verlag / GWV Fachverlage GmbH, Wiesbaden, 2010Description: Online-Ressource (X, 187p, digital)ISBN:
  • 9783834893291
Subject(s): Genre/Form: Additional physical formats: 9783528032197 | Buchausg. u.d.T.: Discrete mathematics in statistical physics. 1st ed. Wiesbaden : Vieweg + Teubner, 2010. X, 187 S.DDC classification:
  • 512
  • 530.1 23
MSC: MSC: *05-01RVK: RVK: SK 950LOC classification:
  • QA150-272
  • QA166
DOI: DOI: 10.1007/978-3-8348-9329-1Online resources: Summary: 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.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, 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.PPN: PPN: 1650003919Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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