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Cambridge Tracts in Mathematics #68: Gibbs States on Countable Sets

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Cambridge Tracts in Mathematics #68: Gibbs States on Countable Sets Cover

 

Synopses & Reviews

Publisher Comments:

The book is an introduction to some of the 1967-1974 results and techniques in classical lattice statistical mechanics. It is written in the language of probability theory rather than that of physics, and is thus aimed primarily at mathematicians who might have little or no background in physics. This area of statistical mechanics is presently enjoying a rapid growth and the book should allow a graduate student or research mathematician to find out what is happening in it. The book is self-contained except for some basic concepts of probability theory, and can be read by any undergraduate student in mathematics who has a reasonable background in probability.

Table of Contents

1. Gibbs states and Markov random fields; 2. Interacting particle systems; 3. Coupled Markov chains; 4. Gibbs states and Markov random fields on countable graphs; 5. Gibbs states on countable sets; 6. Kirkwood-Salsburg equations; 7. Involutions of P(S); 8. Attractive and supermodular potentials; 9. Attractive pair potentials; 10. Examples of phase transition; 11. The extreme points of Gv.

Product Details

ISBN:
9780521090117
Author:
Preston, Christopher J.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Probability & Statistics - General
Subject:
Differential Equations
Subject:
Mathematics | Probability and Statistics
Subject:
Mathematical Analysis
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
68
Publication Date:
20081131
Binding:
TRADE PAPER
Language:
English
Pages:
140
Dimensions:
5.51x8.50x.32 in. .41 lbs.

Related Subjects

History and Social Science » Politics » Leftist Studies
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Cambridge Tracts in Mathematics #68: Gibbs States on Countable Sets New Trade Paper
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Product details 140 pages Cambridge University Press - English 9780521090117 Reviews:
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