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Quasi-Stationary Distributions (Record no. 46272)

MARC details
000 -LEADER
fixed length control field 03815nam a22005777a 4500
001 - CONTROL NUMBER
control field sulb-eb0024180
003 - CONTROL NUMBER IDENTIFIER
control field BD-SySUS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160413122428.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121026s2013 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642331312
-- 978-3-642-33131-2
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-33131-2
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA273.A1-274.9
Classification number QA274-274.9
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBT
Source bicssc
Subject category code PBWL
Source bicssc
Subject category code MAT029000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Collet, Pierre.
Relator term author.
245 10 - TITLE STATEMENT
Title Quasi-Stationary Distributions
Medium [electronic resource] :
Remainder of title Markov Chains, Diffusions and Dynamical Systems /
Statement of responsibility, etc. by Pierre Collet, Servet Martínez, Jaime San Martín.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Berlin, Heidelberg :
Name of producer, publisher, distributor, manufacturer Springer Berlin Heidelberg :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
300 ## - PHYSICAL DESCRIPTION
Extent XVI, 280 p.
Other physical details online resource.
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
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Probability and Its Applications,
International Standard Serial Number 1431-7028
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1.Introduction -- 2.Quasi-stationary Distributions: General Results -- 3.Markov Chains on Finite Spaces -- 4.Markov Chains on Countable Spaces -- 5.Birth and Death Chains -- 6.Regular Diffusions on [0,∞) -- 7.Infinity as Entrance Boundary -- 8.Dynamical Systems -- References -- Index -- Table of Notations -- Citations Index. .
520 ## - SUMMARY, ETC.
Summary, etc. Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the present volume. For diffusions, the killing is at the boundary and for dynamical systems there is a trap. The authors present the QSDs as the ones that allow describing the long-term behavior conditioned to not being killed. Studies in this research area started with Kolmogorov and Yaglom and in the last few decades have received a great deal of attention. The authors provide the exponential distribution property of the killing time for QSDs, present the more general result on their existence and study the process of trajectories that survive forever. For birth-and-death chains and diffusions, the existence of a single or a continuum of QSDs is described. They study the convergence to the extremal QSD and give the classification of the survival process. In this monograph, the authors discuss Gibbs QSDs for symbolic systems and absolutely continuous QSDs for repellers. The findings described are relevant to researchers in the fields of Markov chains, diffusions, potential theory, dynamical systems, and in areas where extinction is a central concept. The theory is illustrated with numerous examples. The volume uniquely presents the distribution behavior of individuals who survive in a decaying population for a very long time. It also provides the background for applications in mathematical ecology, statistical physics, computer sciences, and economics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Dynamics.
Topical term or geographic name as entry element Ergodic theory.
Topical term or geographic name as entry element Partial differential equations.
Topical term or geographic name as entry element Probabilities.
Topical term or geographic name as entry element Biomathematics.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
Topical term or geographic name as entry element Dynamical Systems and Ergodic Theory.
Topical term or geographic name as entry element Genetics and Population Dynamics.
Topical term or geographic name as entry element Partial Differential Equations.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Martínez, Servet.
Relator term author.
Personal name San Martín, Jaime.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783642331305
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Probability and Its Applications,
International Standard Serial Number 1431-7028
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-3-642-33131-2">http://dx.doi.org/10.1007/978-3-642-33131-2</a>
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type

No items available.