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Record Nr. |
UNINA9910788747603321 |
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Autore |
Cox J. T. |
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Titolo |
Mutually catalytic super branching random walks : large finite systems and renormalization analysis / / J. T. Cox, D. A. Dawson, A. Greven |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2004 |
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©2004 |
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ISBN |
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Descrizione fisica |
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1 online resource (97 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 171, Number 809 |
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Disciplina |
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Soggetti |
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Branching processes |
Random walks (Mathematics) |
Random measures |
Renormalization (Physics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 171, Number 809 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (p. 95-97). |
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Nota di contenuto |
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""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) |
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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)"" |
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