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Synopsis
This is an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational characterization and the phase transition of the Ising model, in a text intended for a one semester or quarter course.
The book begins with a straightforward approach to the key ideas and results of large deviation theory in the context of independent identically distributed random variables. This includes Cramer's theorem, relative entropy, Sanov's theorem, process level large deviations, convex duality, and change of measure arguments.
Dependence is introduced through the interactions potentials of equilibrium statistical mechanics. The phase transition of the Ising model is proved in two different ways: first in the classical way with the Peierls argument, Dobrushin's uniqueness condition, and correlation inequalities and then a second time through the percolation approach.
Beyond the large deviations of independent variables and Gibbs measures, later parts of the book treat large deviations of Markov chains, the Gartner-Ellis theorem, and a large deviation theorem of Baxter and Jain that is then applied to a nonstationary process and a random walk in a dynamical random environment.
The book has been used with students from mathematics, statistics, engineering, and the sciences and has been written for a broad audience with advanced technical training. Appendixes review basic material from analysis and probability theory and also prove some of the technical results used in the text.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Firas Rassoul-Agha, University of Utah, Salt Lake City, UT, USA.
Timo Seppalainen, University of Wisconsin-Madison, WI, USA.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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A Course on Large Deviations With an Introduction to Gibbs Measures (Graduate Studies in Mathematics)
Edité par
American Mathematical Society, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : New. Series: Graduate Studies in Mathematics. Num Pages: 314 pages. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 263 x 188 x 24. Weight in Grams: 740. . 2015. Hardcover. . . . . N° de réf. du vendeur V9780821875780
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A Course on Large Deviations With an Introduction to Gibbs Measures
Edité par
Amer Mathematical Society, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Hardcover. Etat : Brand New. 318 pages. 10.00x7.25x1.00 inches. In Stock. N° de réf. du vendeur __0821875787
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A Course on Large Deviations with an Introduction to Gibbs Measures
Edité par
MP-AMM American Mathematical, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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A Course on Large Deviations with an Introduction to Gibbs Measures
Edité par
American Mathematical Society, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Presents an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational . N° de réf. du vendeur 604045408
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A course on large deviations with an introduction to Gibbs measures. Graduate studies in mathematics; Bd. volume 162.
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Providence, American Mathematical Society, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02509 9780821875780 Sprache: Englisch Gewicht in Gramm: 1150. N° de réf. du vendeur 2488374
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Course on Large Deviations With an Introduction to Gibbs Measures
Edité par
American Mathematical Society, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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A Course on Large Deviations With an Introduction to Gibbs Measures (Graduate Studies in Mathematics)
Edité par
American Mathematical Society, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
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Etat : New. Series: Graduate Studies in Mathematics. Num Pages: 314 pages. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 263 x 188 x 24. Weight in Grams: 740. . 2015. Hardcover. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780821875780
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Course on Large Deviations with an Introduction to Gibbs Mea
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Eurospan Mär 2015, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Neuware - Presents an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational characterization and the phase transition of the Ising model, in a text intended for a one semester or quarter course. N° de réf. du vendeur 9780821875780
Quantité disponible : 1 disponible(s)
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A Course on Large Deviations with an Introduction to Gibbs Measures
Edité par
American Mathematical Society, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Hardback. Etat : New. New copy - Usually dispatched within 4 working days. 769. N° de réf. du vendeur B9780821875780
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A Course on Large Deviations with an Introduction to Gibbs Measures
Edité par
American Mathematical Society, US, 2015
ISBN 10 : 0821875787
ISBN 13 : 9780821875780
Neuf
Couverture rigide
Vendeur : Rarewaves.com UK, London, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Hardback. Etat : New. This is an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational characterization and the phase transition of the Ising model, in a text intended for a one semester or quarter course.The book begins with a straightforward approach to the key ideas and results of large deviation theory in the context of independent identically distributed random variables. This includes Cramer's theorem, relative entropy, Sanov's theorem, process level large deviations, convex duality, and change of measure arguments.Dependence is introduced through the interactions potentials of equilibrium statistical mechanics. The phase transition of the Ising model is proved in two different ways: first in the classical way with the Peierls argument, Dobrushin's uniqueness condition, and correlation inequalities and then a second time through the percolation approach.Beyond the large deviations of independent variables and Gibbs measures, later parts of the book treat large deviations of Markov chains, the Gartner-Ellis theorem, and a large deviation theorem of Baxter and Jain that is then applied to a nonstationary process and a random walk in a dynamical random environment.The book has been used with students from mathematics, statistics, engineering, and the sciences and has been written for a broad audience with advanced technical training. Appendixes review basic material from analysis and probability theory and also prove some of the technical results used in the text. N° de réf. du vendeur LU-9780821875780
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