عنوان

Stochastic Processes on a Lattice and Gibbs Measures

شابک

9401054428

شابک

9401132682

شابک

9789401054423

شابک

9789401132688

شماره

b595811

عنوان اصلي

Stochastic Processes on a Lattice and Gibbs Measures

نام عام مواد

[Book]

نام نخستين پديدآور

by Bernard Prum, Jean Claude Fort.

محل نشرو پخش و غیره

Dordrecht

نام ناشر، پخش کننده و غيره

Springer Netherlands

تاریخ نشرو بخش و غیره

1991

عنوان فروست

Mathematical Physics Studies, A Supplementary Series to Letter in Mathematical Physics, 11

متن يادداشت

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.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by Bernard Prum, Jean Claude Fort.

مستند نام اشخاص تاييد نشده

Bernard Prum

مستند نام اشخاص تاييد نشده

Jean Claude Fort

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y