Hardcover ISBN: | 978-0-8218-1993-7 |
Product Code: | FIC/27 |
List Price: | $68.00 |
MAA Member Price: | $61.20 |
AMS Member Price: | $54.40 |
eBook ISBN: | 978-1-4704-3051-1 |
Product Code: | FIC/27.E |
List Price: | $63.00 |
MAA Member Price: | $56.70 |
AMS Member Price: | $50.40 |
Hardcover ISBN: | 978-0-8218-1993-7 |
eBook: ISBN: | 978-1-4704-3051-1 |
Product Code: | FIC/27.B |
List Price: | $131.00 $99.50 |
MAA Member Price: | $117.90 $89.55 |
AMS Member Price: | $104.80 $79.60 |
Hardcover ISBN: | 978-0-8218-1993-7 |
Product Code: | FIC/27 |
List Price: | $68.00 |
MAA Member Price: | $61.20 |
AMS Member Price: | $54.40 |
eBook ISBN: | 978-1-4704-3051-1 |
Product Code: | FIC/27.E |
List Price: | $63.00 |
MAA Member Price: | $56.70 |
AMS Member Price: | $50.40 |
Hardcover ISBN: | 978-0-8218-1993-7 |
eBook ISBN: | 978-1-4704-3051-1 |
Product Code: | FIC/27.B |
List Price: | $131.00 $99.50 |
MAA Member Price: | $117.90 $89.55 |
AMS Member Price: | $104.80 $79.60 |
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Book DetailsFields Institute CommunicationsVolume: 27; 2000; 141 ppMSC: Primary 60; 82; Secondary 35; 37; 68; 76
This book presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). The first part of the book contains the notes from the mini-course given by Professor S. R. S. Varadhan. The second part contains research articles reviewing the diverse progress in the study of hydrodynamic limits and related areas. This book offers a comprehensive introduction to the theory and its techniques, including entropy and relative entropy methods, large deviation estimates, and techniques in nongradient systems. This book, especially the lectures of Part I, could be used as a text for an advanced graduate course in hydrodynamic limits and interacting particle systems.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
ReadershipGraduate students and research mathematicians interested in interacting particle systems, hydrodynamic limits, and statistical mechanics.
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Table of Contents
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Part 1
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S. Varadhan — Lectures on hydrodynamic scaling
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Part 2
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J. Carrillo — On a 1-d granular media immersed in a fluid
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Henryk Fukś — A class of cellular automata equivalent to deterministic particle systems
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T. Funaki — Recent results on the Ginzburg-Landau $\nabla \phi $ interface model
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Ilie Grigorescu — Large scale behavior of a system of interacting diffusions
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Reinhard Illner — Stellar dynamics and plasma physics with corrected potentials: Vlasov, Manev, Boltzmann, Smoluchowski
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Jeremy Quastel — Free boundary problem and hydrodynamic limit
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Timo Seppäläinen — A variational coupling for a totally asymmetric exclusion process with long jumps but no passing
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Horug-Tzer Yau — Quantum mechanics, linear Boltzmann equation and renormalization
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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This book presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). The first part of the book contains the notes from the mini-course given by Professor S. R. S. Varadhan. The second part contains research articles reviewing the diverse progress in the study of hydrodynamic limits and related areas. This book offers a comprehensive introduction to the theory and its techniques, including entropy and relative entropy methods, large deviation estimates, and techniques in nongradient systems. This book, especially the lectures of Part I, could be used as a text for an advanced graduate course in hydrodynamic limits and interacting particle systems.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Graduate students and research mathematicians interested in interacting particle systems, hydrodynamic limits, and statistical mechanics.
-
Part 1
-
S. Varadhan — Lectures on hydrodynamic scaling
-
Part 2
-
J. Carrillo — On a 1-d granular media immersed in a fluid
-
Henryk Fukś — A class of cellular automata equivalent to deterministic particle systems
-
T. Funaki — Recent results on the Ginzburg-Landau $\nabla \phi $ interface model
-
Ilie Grigorescu — Large scale behavior of a system of interacting diffusions
-
Reinhard Illner — Stellar dynamics and plasma physics with corrected potentials: Vlasov, Manev, Boltzmann, Smoluchowski
-
Jeremy Quastel — Free boundary problem and hydrodynamic limit
-
Timo Seppäläinen — A variational coupling for a totally asymmetric exclusion process with long jumps but no passing
-
Horug-Tzer Yau — Quantum mechanics, linear Boltzmann equation and renormalization