Spatial Populations with Seed-Bank: Renormalisation on the Hierarchical Group

Häftad, Engelska, 2025

Del i serien Memoirs of the American Mathematical Society

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Beskrivning

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Produktinformation

Utgivningsdatum:2025-06-30
Mått:178 x 254 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Memoirs of the American Mathematical Society
Antal sidor:207
Förlag:American Mathematical Society
ISBN:9781470473150

Utforska kategorier

Matematisk statistik inom Naturvetenskap och teknik

Mer om författaren

Andreas Greven, Universitat Erlangen-Nurnberg, Germany.Frank den Hollander, Universiteit Leiden, The Netherlands.Margriet Oomen, Universiteit Leiden, The Netherlands.

Innehållsförteckning

Chapters1. Background, goals, and outline1. Model and Main Results2. Introduction of model and basic properties3. Main results: $N<\infty $, identification of clustering regime4. Main results: $N\to \infty $, renormalisation and multi-scale limit5. Main results $N\to \infty $: Orbit and cluster formation2. Preparations and Proofs6. Proofs: $N<\infty $, identification of clustering regime7. Preparation: $N\to \infty $, McKean-Vlasov process and mean-field8. Proofs: $N\to \infty $, mean-field finite-systems scheme9. Proofs: $N\to \infty $, mean-field, proof of abstract scheme10. Preparation: $N\to \infty $, two-colour mean-field11. Preparation: $N\to \infty $, two-level three-colour12. Proofs: $N\to \infty $, hierarchical multi-scale limit theorems13. Proofs: $N\to \infty $, orbit of renormalisation transformationA. Computation of scaling coefficientsB. Meyer-Zheng topology