Overview

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.

Full Product Details

Author:   Andreas Greven ,  Frank den Hollander ,  Margriet Oomen
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470473150

ISBN 10:   1470473151
Pages:   207
Publication Date:   30 June 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Not yet available  
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Table of Contents

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

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Author Information

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

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