Name: Scaling Limits of Interacting Particle Systems By Claude Kipnis
SKU: 9783540649137
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Scaling Limits of Interacting Particle Systems Summary

Scaling Limits of Interacting Particle Systems by Claude Kipnis

This book has been long awaited in the interacting particle systems community. Begun by Claude Kipnis before his untimely death, it was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior of interacting particle systems.

Scaling Limits of Interacting Particle Systems Reviews

Das Buch ist nach Meinung des Rezensenten eine gelungene Einfuhrung in ein interessantes Gebiet der modernen Stochastik und mathematischen Physik und stellt einen fest umrissenen Gegenstand umfassend dar, vor allem den analytisch-methodischen Aspekt. ... Die Beweise sind ubersichtlich und gut gegliedert, was das Nachvollziehen der Argumente sehr erleichtert; die didaktische Leistung der Autoren in diesem Punkt ist beeindruckend. Ein sorgfaltig zusammengestelltes Literaturverzeichnis von etwa 400 Titeln schliesst das Buch ab. Ingesamt ein sehr gut geschriebener und nutzlicher Band.
DMV Jahresbericht, 103. Band, Heft 3, November 2001

1. An Introductory Example: Independent Random Walks.- 2. Some Interacting Particle Systems.- 3. Weak Formulations of Local Equilibrium.- 4. Hydrodynamic Equation of Symmetric Simple Exclusion Processes.- 5. An Example of Reversible Gradient System: Symmetric Zero Range Processes.- 6. The Relative Entropy Method.- 7. Hydrodynamic Limit of Reversible Nongradient Systems.- 8. Hydrodynamic Limit of Asymmetric Attractive Processes.- 9. Conservation of Local Equilibrium for Attractive Systems.- 10. Large Deviations from the Hydrodynamic Limit.- 11. Equilibrium Fluctuations of Reversible Dynamics.- Appendices.- 1. Markov Chains on a Countable Space.- 1.1 Discrete Time Markov Chains.- 1.2 Continuous Time Markov Chains.- 1.3 Kolmogorov's Equations, Generators.- 1.4 Invariant Measures, Reversibility and Adjoint Processes.- 1.5 Some Martingales in the Context of Markov Processes.- 1.6 Estimates on the Variance of Additive Functionals of Markov Processes.- 1.7 The Feynman-Kac Formula.- 1.8 Relative Entropy.- 1.9 Entropy and Markov Processes.- 1.10 Dirichlet Form.- 1.11 A Maximal Inequality for Reversible Markov Processes.- 2. The Equivalence of Ensembles, Large Deviation Tools and Weak Solutions of Quasi-Linear Differential Equations.- 2.1 Local Central Limit Theorem and Equivalence of Ensembles.- 2.2 On the Local Central Limit Theorem.- 2.3 Remarks on Large Deviations.- 2.4 Weak Solutions of Nonlinear Parabolic Equations.- 2.5 Entropy Solutions of Quasi-Linear Hyperbolic Equations.- 3. Nongradient Tools: Spectral Gap and Closed Forms.- 3.1 On the Spectrum of Reversible Markov Processes.- 3.2 Spectral Gap for Generalized Exclusion Processes.- 3.4 Closed and Exact Forms.- 3.5 Comments and References.- References.

Additional information

Sku

NPB9783540649137

ISBN 13

9783540649137

ISBN 10

3540649131

Title

Scaling Limits of Interacting Particle Systems by Claude Kipnis

Author

Claude Kipnis

Series

Grundlehren der mathematischen Wissenschaften

Condition

New

Binding type

Hardback

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Year published

1998-12-04

Number of pages

444

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Scaling Limits of Interacting Particle Systems Claude Kipnis

Scaling Limits of Interacting Particle Systems by Claude Kipnis

Summary

Scaling Limits of Interacting Particle Systems Summary

Scaling Limits of Interacting Particle Systems by Claude Kipnis

Scaling Limits of Interacting Particle Systems Reviews

Table of Contents

Additional information

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