Quasi-Stationary Distributions : Markov Chains, Diffusions and Dynamical Systems
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...
Kaydedildi:
| Asıl Yazarlar: | , , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edisyon: | 1st ed. 2013. |
| Seri Bilgileri: | Probability and Its Applications
|
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Quasi-stationary distributions, Markov chains, diffusions and dynamical systems, by Pierre Collet, Servet Martínez, Jaime San Martín, Berlin, Springer, 2012, 1 vol. (xv-280 p.), Probability and its applications • Quasi-Stationary Distributions, Texte imprimé, 9783642331329 • Quasi-Stationary Distributions, Texte imprimé, 9783642428883 • Quasi-stationary distributions, Markov chains, diffusions and dynamical systems, by Pierre Collet, Servet Martínez, Jaime San Martín, Berlin, Springer, 2012, 1 vol. (xv-280 p.), Probability and its applications |
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| 100 | 1 | |a Collet, Pierre, |d 1948-...., |c physicien. | |
| 245 | 1 | 0 | |a Quasi-Stationary Distributions : |b Markov Chains, Diffusions and Dynamical Systems |c by Pierre Collet, Servet Martínez, Jaime San Martín. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Probability and Its Applications | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 700 | 1 | |a Martínez, Servet, |d 1952-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a San Martín, Jaime. |4 aut | |
| 776 | 0 | |0 166941115 |t Quasi-stationary distributions |o Markov chains, diffusions and dynamical systems |f by Pierre Collet, Servet Martínez, Jaime San Martín |c Berlin |n Springer |d 2012 |p 1 vol. (xv-280 p.) |s Probability and its applications | |
| 776 | 0 | |t Quasi-Stationary Distributions |b Texte imprimé |z 9783642331329 | |
| 776 | 0 | |t Quasi-Stationary Distributions |b Texte imprimé |z 9783642428883 | |
| 776 | 0 | |0 166941115 |t Quasi-stationary distributions |o Markov chains, diffusions and dynamical systems |f by Pierre Collet, Servet Martínez, Jaime San Martín |c Berlin |n Springer |d 2012 |p 1 vol. (xv-280 p.) |s Probability and its applications | |
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