A course on large deviations with an to introduction to Gibbs measures (Record no. 2938)

000 -LEADER
fixed length control field 02355nam a22002177a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241120164800.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191211b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821875780
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA 273.67
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Firas Rassoul-Agha
245 ## - TITLE STATEMENT
Title A course on large deviations with an to introduction to Gibbs measures
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Rhode Island:
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. [c2015]
300 ## - Physical Description
Pages: 318 p
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Part I. Large deviations: General theory and i.i.d. processes<br/>Chapter 1. Introductory discussion<br/>Chapter 2. The large deviation principle<br/>Chapter 3. Large deviations and asymptotics of integrals<br/>Chapter 4. Convex analysis in large deviation theory<br/>Chapter 5. Relative entropy and large deviations for empirical measures<br/>Chapter 6. Process level large deviations for i.i.d. fields<br/><br/>Part II. Statistical mechanics<br/>Chapter 7. Formalism for classical lattice systems<br/>Chapter 8. Large deviations and equilibrium statistical mechanics<br/>Chapter 9. Phase transition in the Ising model<br/>Chapter 10. Percolation approach to phase transition<br/><br/>Part III. Additional large deviation topics<br/>Chapter 11. Further asymptotics for i.i.d. random variables<br/>Chapter 12. Large deviations through the limiting generating function<br/>Chapter 13. Large deviations for Markov chains<br/>Chapter 14. Convexity criterion for large deviations<br/>Chapter 15. Nonstationary independent variables<br/>Chapter 16. Random walk in a dynamical random environment<br/>
520 ## - SUMMARY, ETC.
Summary, etc. 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.<br/><br/>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 Cramér's theorem, relative entropy, Sanov's theorem, process level large deviations, convex duality, and change of measure arguments. --- summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Timo Seppäläinen
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 5 12/11/2019 QA 273.67 02293 Book