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Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations. (Record no. 69771)

MARC details
000 -LEADER
fixed length control field 03498nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC3114240
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124603.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2010 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470405748
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821847152
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114240
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114240
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11039859
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922981784
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA871 -- .A38 2010eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.353
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Alvarez, Olivier.
245 10 - TITLE STATEMENT
Title Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2010.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2010.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (90 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.204
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Abstract -- Chapter 1. Introduction and statement of the problem -- 1.1. Introduction -- 1.2. Stochastic differential games and the singular perturbation problem -- 1.3. The Bellman-Isaacs equations -- Chapter 2. Abstract ergodicity, stabilization, and convergence -- 2.1. Ergodicity and the effective Hamiltonian -- 2.2. Stabilization and the effective terminal cost -- 2.3. The general convergence result -- Chapter 3. Uncontrolled fast variables and averaging -- 3.1. Ergodicity -- 3.2. Stabilization -- 3.3. Uniform convergence -- 3.4. An explicit formula for the limit control problem -- Chapter 4. Uniformly nondegenerate fast diffusion -- 4.1. Ergodicity -- 4.2. Stabilization -- 4.3. Uniform convergence -- Chapter 5. Hypoelliptic diffusion of the fast variables -- 5.1. Ergodicity and stabilization -- 5.2. Uniform convergence -- Chapter 6. Controllable fast variables -- 6.1. Bounded-time controllability and ergodicity -- 6.2. Stabilization and a formula for the effective initial data -- 6.3. An explicit formula for the effective Hamiltonian and the limit differential game -- 6.4. Uniform convergence -- 6.5. The reduction order formula for the effective control problem -- Chapter 7. Nonresonant fast variables -- 7.1. Ergodicity -- 7.2. Stabilization -- 7.3. Uniform convergence -- Chapter 8. A counterexample to uniform convergence -- Chapter 9. Applications to homogenization -- 9.1. Periodic homogenization of 1st order H-J equations -- 9.2. Periodic homogenization of 2nd order equations -- Bibliography.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Singular perturbations (Mathematics).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential equations, Partial.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential games.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Bardi, Martino.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Alvarez, Olivier
Title Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations
Place, publisher, and date of publication Providence : American Mathematical Society,c2010
International Standard Book Number 9780821847152
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114240">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114240</a>
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