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  • 1
    Online-Ressource
    Online-Ressource
    Amsterdam ; New York : North-Holland
    UID:
    b3kat_BV036962754
    Umfang: 1 Online-Ressource (xi, 374 p.) , 23 cm
    Ausgabe: Rev. ed
    Ausgabe: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444864008 , 9780444864000
    Serie: North-Holland mathematical library 11
    Anmerkung: Includes index
    Weitere Ausg.: Reproduktion von Markov chains 1984
    Sprache: Englisch
    Schlagwort(e): Markov-Kette
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Amsterdam :North-Holland,
    UID:
    almahu_9947367871302882
    Umfang: 1 online resource (389 p.)
    Ausgabe: Rev. ed.
    ISBN: 1-281-71644-8 , 9786611716448 , 0-08-088023-1
    Serie: North-Holland mathematical library ; 11
    Inhalt: This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurable spaces and their associated homogeneous Markov chains. The first part, an expository text on the foundations of the subject, is intended for post-graduate students. A study of potential theory, the basic classification of chains according to their asymptotic behaviour and the celebrated Chacon-Ornstein theorem are examined in detail.The second part of the book is at a more advanced level and includes a treatment of random walks on general locally compa
    Anmerkung: Description based upon print version of record. , Front Cover; Markov Chains; Copyright Page; PREFACE TO FIRST EDITION; PREFACE TO SECOND EDITION; INTERDEPENDENCE GUIDE; CONTENTS; CHAPTER 0. PRELIMINARIES; 1. Notation; 2. Martingales; 3. The monotone class theorem; 4. Topological spaces and groups; CHAPTER 1. TRANSITION PROBABILITIES. MARKOV CHAINS; 1. Kernels. Transition probabilities; 2. Homogeneous Markov chains; 3. Stopping times. Strong Markov property; 4. Random walks on groups and homogeneous spaces; 5. Analytical properties of integral kernels; CHAPTER 2. POTENTIAL THEORY; 1. Superharmonic functions and the maximum principle , 2. Reduced functions and balayage3. Equilibrium, invariant events and transient sets; 4. Invariant and excessive measures; 5. Randomized stopping times and filling scheme; 6. Resolvents; CHAPTER 3. TRANSIENCE AND RECURRENCE; 1. Discrete Markov chains; 2. Irreducible chains and Harris chains; 3. Topological recurrence of random walks; 4. Recurrence criteria for random walks and applications; CHAPTER 4. POINTWISE ERGODIC THEORY; 1. Preliminaries; 2. Maximal ergodic lemma. Hopf's decomposition; 3. The Chacon-Ornstein theorem for conservative contractions; 4. Applications to Harris chains , 5. Brunel's lemma and the general Chacon-Ornstein theorem6. Subadditive ergodic theory; CHAPTER 5. TRANSIENT RANDOM WALKS. RENEWAL THEORY; 1. The theorem of Choquet and Deny; 2. General lemmas; 3. The renewal theorem for the groups R and Z; 4. The renewal theorem; 5. Refinements and applications; CHAPTER 6. ERGODIC THEORY OF HARRIS CHAINS; 1. The zero-two laws; 2. Cyclic classes and limit theorems for Harris chains; 3. Quasi-compact transition probabilities and strong ergodic theorem; 4. Special functions; 5. Potential kernels; 6. The ratio-limit theorem; CHAPTER 7. MARTIN BOUNDARY , 1. Regular functions2. Convergence to the boundary; 3. Integral representation of harmonic functions; CHAPTER 8. POTENTIAL THEORY FOR HARRIS CHAINS; 1. Harris chains and duality; 2. Equilibrium, balayage and maximum principles; 3. Normal chains; 4. Feller chains and recurrent boundary theory; CHAPTER 9. RECURRENT RANDOM WALKS; 1. Preliminaries; 2. Normality and potential kernels; 3. Martin boundary; 4. Renewal theory; CHAPTER 10. CONSTRUCTION OF MARKOV CHAINS AND RESOLVENTS; 1. Preliminaries and bounded kernels; 2. The reinforced principle. Construction of transient Markov chains , 3. The semi-complete maximum principleNOTES AND COMMENTS; REFERENCES; INDEX OF NOTATION; INDEX OF TERMS , English
    Weitere Ausg.: ISBN 0-444-86400-8
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Online-Ressource
    Online-Ressource
    Amsterdam : North-Holland
    UID:
    gbv_1684907489
    Umfang: Online-Ressource
    Ausgabe: 2., rev. ed
    Ausgabe: Elsevier e-book collection on ScienceDirect
    ISBN: 0444864008 , 9780444864000 , 9780080880235 , 0080880231
    Serie: North-Holland mathematical library 11
    Inhalt: This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurable spaces and their associated homogeneous Markov chains. The first part, an expository text on the foundations of the subject, is intended for post-graduate students. A study of potential theory, the basic classification of chains according to their asymptotic behaviour and the celebrated Chacon-Ornstein theorem are examined in detail. The second part of the book is at a more advanced level and includes a treatment of random walks on general locally compact abelian groups. Further chapters develop renewal theory, an introduction to Martin boundary and the study of chains recurrent in the Harris sense. Finally, the last chapter deals with the construction of chains starting from a kernel satisfying some kind of maximum principle
    Anmerkung: Includes index
    Weitere Ausg.: ISBN 0444864008
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe Revuz, Daniel, 1936 - Markov chains Amsterdam [u.a.] : North-Holland, 1984 ISBN 0444864008
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    Schlagwort(e): Markov-Kette
    URL: Volltext  (Deutschlandweit zugänglich)
    Mehr zum Autor: Revuz, Daniel 1936-
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 4
    Buch
    Buch
    Amsterdam [u.a.] : North-Holland
    UID:
    b3kat_BV002300624
    Umfang: XI, 374 S.
    Ausgabe: 2., rev. ed.
    ISBN: 0444864008
    Serie: North-Holland mathematical library 11
    Anmerkung: Literaturverz. S. 356 - 370
    Sprache: Englisch
    Fachgebiete: Wirtschaftswissenschaften , Mathematik
    RVK:
    RVK:
    Schlagwort(e): Markov-Kette
    Mehr zum Autor: Revuz, Daniel 1936-
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 5
    Buch
    Buch
    Amsterdam [u. a.] :North-Holland,
    UID:
    almahu_BV024973752
    Umfang: XI, 374 S.
    Ausgabe: Rev. ed.
    ISBN: 0-444-86400-8
    Serie: North-Holland mathematical library 11
    Sprache: Englisch
    Fachgebiete: Wirtschaftswissenschaften , Mathematik
    RVK:
    RVK:
    Schlagwort(e): Markov-Kette
    Mehr zum Autor: Revuz, Daniel, 1936-
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 6
    Buch
    Buch
    Amsterdam [u. a.] :North-Holland,
    UID:
    kobvindex_ZIB000015464
    Umfang: XI, 374 S.
    Ausgabe: Rev. ed.
    ISBN: 0-444-86400-8
    Serie: North-Holland mathematical library 11
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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