Spatial Populations with Seed-Bank

Renormalisation on the Hierarchical Group

Andreas Greven, Frank den Hollander, Margriet Oomen

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English

American Mathematical Society
30 June 2025

Probability & statistics

Series: Memoirs of the American Mathematical Society

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.

By: Andreas Greven, Frank den Hollander, Margriet Oomen
Imprint: American Mathematical Society
Country of Publication: United States
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9781470473150
ISBN 10: 1470473151
Series: Memoirs of the American Mathematical Society
Pages: 207
Publication Date: 30 June 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

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

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Spatial Populations with Seed-Bank

Renormalisation on the Hierarchical Group

Andreas Greven, Frank den Hollander, Margriet Oomen

$197

Paperback

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