# Exactly solved models in statistical mechanics

@inproceedings{Baxter1982ExactlySM, title={Exactly solved models in statistical mechanics}, author={Rodney J. Baxter}, year={1982} }

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#### 5,200 Citations

Exactly solvable models and knot theory

- Physics
- 1989

Abstract Presented is a review on theory of exactly solvable models in statistical mechanics and its application to knot theory. The Yang-Baxter relation, a sufficient condition for the solvability… Expand

Exactly Solvable Models in Statistical Mechanics

- Mathematics
- 1988

Recent studies on exactly solvable models in statistical mechanics are reviewed. A brief summary of the quantum inverse scattering method is given to emphasize the soliton theoretic aspect of the… Expand

Statistical Mechanics, Three-Dimensionality and NP-Completeness: I. Universality of Intractability of the Partition Functions of the Ising Model Across Non-Planar Lattices

- Mathematics
- STOC 2000
- 2000

This work provides an exact characterization, across crystal lattices, of the computational tractability frontier for the partition functions of several Ising models. Our results show that beyond… Expand

Statistical mechanics of spin models on graphs.

- Physics
- 2010

Statistical mechanics of finitely-connected systems is the study of spin models on random graphs. The methods developed to study spin models on graphs find their origins in spin-glass theory and are… Expand

Knots, links, braids and exactly solvable models in statistical mechanics

- Mathematics
- 1988

We present a general method to construct the sequence of new link polynomials and its two variable extension from exactly solvable models in statistical mechanics. First, we find representations of… Expand

Statistical mechanics methods and phase transitions in optimization problems

- Computer Science, Physics
- Theor. Comput. Sci.
- 2001

This review aims at presenting the tools and concepts designed by physicists to deal with optimization or decision problems in a language accessible for computer scientists and mathematicians, with no prerequisites in physics. Expand

Introduction to the Statistical Physics of Integrable Many-body Systems

- Physics
- 2013

Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of… Expand

Statistical Methods Applied in Physics

- 2013

Statistical methods are used in statistics physics, which is a momentous interdiscipline, to provide a conceptual link between the 'macroscopic world' and the 'microscopic world'. When studying… Expand

PRINCIPLES OF STATISTICAL MECHANICS

- 1998

These lectures comprise an introductory course in statistical mechanics. The Gibbs formulation of the canonical ensemble is introduced and illustrated by application to simple models of magnets and… Expand

A variational principle for graphical models

- Computer Science
- 2005

The junction tree algorithm takes advantage of factorization properties of the joint probability distribution that are encoded by the pattern of missing edges in a graphical model, and provides a systematic and practical solution to the general problem of computing likelihoods and other statistical quantities associated with a graphical models. Expand

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These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. Expand

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however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)… Expand

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