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portada scaling limits of interacting particle systems
Type
Physical Book
Publisher
Year
2010
Language
Inglés
Pages
444
Format
Paperback
Dimensions
23.4 x 15.6 x 2.4 cm
Weight
0.64 kg.
ISBN
3642084443
ISBN13
9783642084447

scaling limits of interacting particle systems

Claudio Landim (Author) · Claude Kipnis (Author) · Springer · Paperback

scaling limits of interacting particle systems - Kipnis, Claude ; Landim, Claudio

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£ 148.00

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Origin: U.S.A. (Import costs included in the price)
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Synopsis "scaling limits of interacting particle systems"

The idea of writing up a book on the hydrodynamic behavior of interacting particle systems was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the spring of 1988. At this time Claude wrote some notes in French that covered Chapters 1 and 4, parts of Chapters 2, 5 and Appendix 1 of this book. His intention was to prepare a text that was as self-contained as possible. lt would include, for instance, all tools from Markov process theory ( cf. Appendix 1, Chaps. 2 and 4) necessary to enable mathematicians and mathematical physicists with some knowledge of probability, at the Ievel of Chung (1974), to understand the techniques of the theory of hydrodynamic Iimits of interacting particle systems. In the fall of 1991 Claude invited me to complete his notes with him and transform them into a book that would present to a large audience the latest developments of the theory in a simple and accessible form. To concentrate on the main ideas and to avoid unnecessary technical difficulties, we decided to consider systems evolving in finite lattice spaces and for which the equilibrium states are product measures. To illustrate the techniques we chose two well-known particle systems, the generalized exclusion processes and the zero-range processes. We also conceived the book in such a manner that most chapters can be read independently of the others. Here are some comments that might help readers find their way.

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