PxPixel
+612 9045 4394
 
CHECKOUT
$7.95 Delivery per order to Australia and New Zealand
100% Australian owned
Over a hundred thousand in-stock titles ready to ship
Stochastic Processes on a Lattice and Gibbs Measures : Mathematical Physics Studies - Bernard Prum

Stochastic Processes on a Lattice and Gibbs Measures

Mathematical Physics Studies

Hardcover Published: December 1990
ISBN: 9780792310693
Number Of Pages: 220

Share This Book:

Hardcover

$304.87
or 4 easy payments of $76.22 with Learn more
Ships in 15 business days

Earn 610 Qantas Points
on this Book

Other Available Editions (Hide)

  • Paperback View Product Published: 24th September 2012
    $288.75

A treatment of the theory of Gibbs measures and Markov random fields for mathematicians and physicists interested in the applications of probability and statistics of random processes. Takes an intuitive approach to most of the concepts, but maintains mathematical rigor where necessary. Presents a h

1 - Aspects of the Ising Model.- 1. Introduction.- 2. Peieris's Argument.- 3. Imposed Field, Thermodynamic Quantities.- 4. The Unidimensional Case and Tree.- 5. Antiferromagnetism.- 2 - Gibbs Measures.- 1. The DLR Problem.- 2. The Structure of G.- 3. Gibbs Specifications, Gibbs Measures.- 4. Relations with Thermodynamics.- 3 - The Existence of Gibbs Measures.- 1. Markovian Properties.- 2. Existence of Gibbs Measures when ? is Finite.- 3. Existence of Gibbs Measures - the General Case.- 4. Models of the P(?)-Type, Gaussian Gibbs Measures S.- 4 - Phase Transitions - 1: Methods of Convex Analysis.- 1. Holley's Inequality.- 2. The FKG Inequality.- 3. Attracting Specifications.- 4. The Ising Model on ?2.- 5. Symmetry Breaking on ?d for d ? 3.- 5 - Other Inequalities.- 1. Urse11 Functions.- 2. GK S Inequalities.- 3. The GHS Inequality.- 4. The Simon-Lieb Inequality.- S. Additional Inequalities.- 6 - Phase Transitions - 2: Phase Diagrams and Perturbed Hamiltonians.- 1. Fundamental Configurations.- 2. Perturbed Hamiltonians.- 3. The Pirogov-Sinai Theorem.- 4. Boundary Models.- S. Principle of the Proof.- 7 - Phase Transitions - 3: Positive Reflexivity.- 1. Reflexive Positivity.- 2. The Unidimensional Case.- 3. Checkerboard Estimate.- 4. Gaussian Domination.- 5. The Infrared Domination.- 8 - Continuous Symmetry and Other Methods.- 1. The Case of Continuous Symmetry.- 2. The Lack of Symmetry Breaking when d = 2.- 3. Spontaneous Magnetization when d ? 3.- 4. Onsager s Method.- 5. Combinatorial Approach.- 6. The Lee-Yang Theorem.- 9 - The Dynamics of Ising Systems.- 1. Introduction.- 2. A Finite Number of Sites.- 3. An Infinite Number of Sites.- 10 - Statistics and Applications.- 1. Ergodicity.- 2. Statistics.- 3. Image Processing.- 4. Other Applications.

ISBN: 9780792310693
ISBN-10: 0792310691
Series: Mathematical Physics Studies
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 220
Published: December 1990
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.42
Weight (kg): 0.51

Earn 610 Qantas Points
on this Book