Mutually catalytic super branching random walks : large finite systems and renormalization analysis / / J. T. Cox, D. A. Dawson, A. Greven
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| Autore: |
Cox J. T.
|
| Titolo: |
Mutually catalytic super branching random walks : large finite systems and renormalization analysis / / J. T. Cox, D. A. Dawson, A. Greven
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| ©2004 | |
| Descrizione fisica: | 1 online resource (97 p.) |
| Disciplina: | 519.234 |
| Soggetto topico: | Branching processes |
| Random walks (Mathematics) | |
| Random measures | |
| Renormalization (Physics) | |
| Persona (resp. second.): | DawsonDonald A <1937-> (Donald Andrew) |
| GrevenAndreas <1953-> | |
| Note generali: | "Volume 171, Number 809 (second of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references (p. 95-97). |
| Nota di contenuto: | ""Contents""; ""0 Introduction""; ""(a) Background and motivation""; ""(b) The model and review of the basic ergodic theory""; ""1 Results: Longtime behavior of large finite systems""; ""(a) The finite system scheme""; ""(b) The mean�field finite system scheme""; ""2 Results: Renormalization analysis and corresponding basic limiting dynamics""; ""(a) The multiple space�time scale analysis""; ""(b) The entrance law of the interaction chain""; ""(c) Renormalization analysis and spatial continuum limit""; ""3 Results: Application of renormalization to large scale behavior"" |
| ""(a) Details on the formation of monotype clusters""""(b) Finer properties of equilibria in the case of coexistence""; ""(c) Finer properties of the continuum limit""; ""(d) Outlook: The problem of universality""; ""4 Preparation: Key technical tools""; ""(a) Duality relations""; ""(b) State space of the process and wellâ€?posedness""; ""(c) Properties of the equilibrium T[sup(c,γ)][sub(Î?)]""; ""(d) Stability properties""; ""5 Finite system scheme (Proof of Theorems 1,2)""; ""(a) The finite system scheme (Proof of Theorem 1)"" | |
| ""(b) The mean�field finite system scheme (Proof of Theorem 2)""""6 Multiple space�time scale analysis (Proof of Theorem 3, 5)""; ""(a) Hierarchical two level mutually catalytic branching""; ""(b) Hierarchical K�level mutually catalytic branching""; ""(c) Conclusion of the Proof of Theorem 3""; ""(d) Proof of Theorem 5""; ""7 Analysis of the interaction chain (Proof Theorem 4, 6 � 8)""; ""(a) Entrance laws of the interaction chain (Proof of Theorem 4)""; ""(b) Cluster�formation (Proof of Theorem 6)""; ""(c) Equilibrium fluctuations (Proof of Theorem 7)"" | |
| ""(d) Mean�field continuum limit (Proof of Proposition 3.1 and Theorem 8)"" | |
| Titolo autorizzato: | Mutually catalytic super branching random walks |
| ISBN: | 1-4704-0410-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910813659503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 171, Number 809.