Save today: Get 40% off titles in Popular Science!

Mathematical Physics Studies

Stochastic Processes on a Lattice and Gibbs Measures

Authors: Prum, Bernard, Fort, Jean Claude

Free Preview

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-94-011-3268-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
Softcover $139.99
price for USA in USD
About this book

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. 

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-94-011-3268-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
Softcover $139.99
price for USA in USD
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Stochastic Processes on a Lattice and Gibbs Measures
Authors
Series Title
Mathematical Physics Studies
Series Volume
11
Copyright
1991
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-3268-8
DOI
10.1007/978-94-011-3268-8
Hardcover ISBN
978-0-7923-1069-3
Softcover ISBN
978-94-010-5442-3
Series ISSN
0921-3767
Edition Number
1
Number of Pages
IX, 220
Additional Information
Originally published in French
Topics