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

Andreas Greven, Frank Den Hollander, Margriet Oomen (Autoren)

Buch | Softcover

207 Seiten

2025
American Mathematical Society (Verlag)
9781470473150 (ISBN)

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Collecting peer-reviewed research in pure and applied mathematics, this series compiles extensive papers into volumes connecting related themes and innovative approaches. Under expert editorial oversight, each installment presents rigorously examined studies that deepen mathematical understanding.

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.

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

Chapters
1. Background, goals, and outline
1. Model and Main Results
2. Introduction of model and basic properties
3. Main results: $N<
/infty $, identification of clustering regime
4. Main results: $N/to /infty $, renormalisation and multi-scale limit
5. Main results $N/to /infty $: Orbit and cluster formation
2. Preparations and Proofs
6. Proofs: $N<
/infty $, identification of clustering regime
7. Preparation: $N/to /infty $, McKean-Vlasov process and mean-field
8. Proofs: $N/to /infty $, mean-field finite-systems scheme
9. Proofs: $N/to /infty $, mean-field, proof of abstract scheme
10. Preparation: $N/to /infty $, two-colour mean-field
11. Preparation: $N/to /infty $, two-level three-colour
12. Proofs: $N/to /infty $, hierarchical multi-scale limit theorems
13. Proofs: $N/to /infty $, orbit of renormalisation transformation
A. Computation of scaling coefficients
B. Meyer-Zheng topology

Erscheinungsdatum	03.06.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-13	9781470473150 / 9781470473150
Zustand	Neuware