Stochastic Processes on a Lattice and Gibbs Measures

Stochastic Processes on a Lattice and Gibbs Measures
Author :
Publisher : Springer Science & Business Media
Total Pages : 230
Release :
ISBN-10 : 9789401132688
ISBN-13 : 9401132682
Rating : 4/5 (682 Downloads)

Book Synopsis Stochastic Processes on a Lattice and Gibbs Measures by : Bernard Prum

Download or read book Stochastic Processes on a Lattice and Gibbs Measures written by Bernard Prum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many domains one encounters "systems" of interacting elements, elements that interact more forcefully the closer they may be. The historical example upon which the theory offered in this book is based is that of magnetization as it is described by the Ising model. At the vertices of a regular lattice of sites, atoms "choos e" an orientation under the influence of the orientations of the neighboring atoms. But other examples are known, in physics (the theories of gasses, fluids, .. J, in biology (cells are increasingly likely to become malignant when their neighboring cells are malignant), or in medecine (the spread of contagious deseases, geogenetics, .. .), even in the social sciences (spread of behavioral traits within a population). Beyond the spacial aspect that is related to the idea of "neighboring" sites, the models for all these phenomena exhibit three common features: - The unavoidable ignorance about the totality of the phenomenon that is being studied and the presence of a great number of often unsuspected factors that are always unquantified lead inevitably to stochastic models. The concept of accident is very often inherent to the very nature of the phenomena considered, so, to justify this procedure, one has recourse to the physicist's principle of indeterminacy, or, for example, to the factor of chance in the Mendelian genetics of phenotypes.


Stochastic Processes on a Lattice and Gibbs Measures Related Books

Stochastic Processes on a Lattice and Gibbs Measures
Language: en
Pages: 230
Authors: Bernard Prum
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In many domains one encounters "systems" of interacting elements, elements that interact more forcefully the closer they may be. The historical example upon whi
Gibbs Measures and Phase Transitions
Language: en
Pages: 561
Authors: Hans-Otto Georgii
Categories: Mathematics
Type: BOOK - Published: 2011-05-31 - Publisher: Walter de Gruyter

DOWNLOAD EBOOK

"This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transit
Probability on Graphs
Language: en
Pages: 279
Authors: Geoffrey Grimmett
Categories: Mathematics
Type: BOOK - Published: 2018-01-25 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary rese
Stochastic Processes - Mathematics and Physics
Language: en
Pages: 264
Authors: Sergio Albeverio
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

Dirichlet Forms and Stochastic Processes
Language: en
Pages: 457
Authors: Zhiming Ma
Categories: Mathematics
Type: BOOK - Published: 2011-06-24 - Publisher: Walter de Gruyter

DOWNLOAD EBOOK

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a