Verwandte Artikel zu A Course on Large Deviations with an Introduction to...
A Course on Large Deviations with an Introduction to Gibbs Measures (Graduate Studies in Mathematics) - Hardcover
Inhaltsangabe
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.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Über die Autorin bzw. den Autor
Firas Rassoul-Agha, University of Utah, Salt Lake City, UT, USA.
Timo Seppalainen, University of Wisconsin-Madison, WI, USA.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Neu kaufen
Diesen Artikel anzeigen
EUR 124,30
EUR 2,00 für den Versand von Irland nach Deutschland
Versandziele, Kosten & DauerSuchergebnisse für A Course on Large Deviations with an Introduction to...
Beispielbild für diese ISBN
A Course on Large Deviations With an Introduction to Gibbs Measures (Graduate Studies in Mathematics)
Verlag:
American Mathematical Society, 2015
ISBN 10: 0821875787
ISBN 13: 9780821875780
Neu
Hardcover
Anbieter: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irland
Verkäuferbewertung 5 von 5 Sternen
Zustand: 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. . . . . Bestandsnummer des Verkäufers V9780821875780
Anzahl: 1 verfügbar
Foto des Verkäufers
A Course on Large Deviations with an Introduction to Gibbs Measures
Verlag:
American Mathematical Society, 2015
ISBN 10: 0821875787
ISBN 13: 9780821875780
Neu
Hardcover
Anbieter: moluna, Greven, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: 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 . Bestandsnummer des Verkäufers 604045408
Anzahl: 5 verfügbar
Foto des Verkäufers
A course on large deviations with an introduction to Gibbs measures. Graduate studies in mathematics; Bd. volume 162.
Verlag:
Providence, American Mathematical Society, 2015
ISBN 10: 0821875787
ISBN 13: 9780821875780
Gebraucht
Hardcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02509 9780821875780 Sprache: Englisch Gewicht in Gramm: 1150. Bestandsnummer des Verkäufers 2488374
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
A Course on Large Deviations with an Introduction to Gibbs Measures
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers FW-9780821875780
Anzahl: 7 verfügbar
Foto des Verkäufers
Course on Large Deviations with an Introduction to Gibbs Mea
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: 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. Bestandsnummer des Verkäufers 9780821875780
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
A Course on Large Deviations With an Introduction to Gibbs Measures
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Brand New. 318 pages. 10.00x7.25x1.00 inches. In Stock. Bestandsnummer des Verkäufers __0821875787
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
A Course on Large Deviations With an Introduction to Gibbs Measures (Graduate Studies in Mathematics)
Verlag:
American Mathematical Society, 2015
ISBN 10: 0821875787
ISBN 13: 9780821875780
Neu
Hardcover
Anbieter: Kennys Bookstore, Olney, MD, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: 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. Bestandsnummer des Verkäufers V9780821875780
Anzahl: 1 verfügbar
Foto des Verkäufers
Course on Large Deviations With an Introduction to Gibbs Measures
Verlag:
American Mathematical Society, 2015
ISBN 10: 0821875787
ISBN 13: 9780821875780
Neu
Hardcover
Anbieter: GreatBookPrices, Columbia, MD, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Bestandsnummer des Verkäufers 23523049-n
Anzahl: 6 verfügbar
Beispielbild für diese ISBN
A Course on Large Deviations with an Introduction to Gibbs Measures
Verlag:
American Mathematical Society, 2015
ISBN 10: 0821875787
ISBN 13: 9780821875780
Neu
Hardcover
Anbieter: THE SAINT BOOKSTORE, Southport, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardback. Zustand: New. New copy - Usually dispatched within 4 working days. 769. Bestandsnummer des Verkäufers B9780821875780
Anzahl: 7 verfügbar
Foto des Verkäufers
A Course on Large Deviations with an Introduction to Gibbs Measures
Verlag:
American Mathematical Society, US, 2015
ISBN 10: 0821875787
ISBN 13: 9780821875780
Neu
Hardcover
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
Hardback. Zustand: 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. Bestandsnummer des Verkäufers LU-9780821875780
Anzahl: 4 verfügbar