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Spatial Populations with Seed-Bank: Renormalisation on the Hierarchical Group
| Softcover ISBN: | 978-1-4704-7315-0 |
| Product Code: | MEMO/307/1553 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8094-3 |
| Product Code: | MEMO/307/1553.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7315-0 |
| eBook: ISBN: | 978-1-4704-8094-3 |
| Product Code: | MEMO/307/1553.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Spatial Populations with Seed-Bank: Renormalisation on the Hierarchical Group
| Softcover ISBN: | 978-1-4704-7315-0 |
| Product Code: | MEMO/307/1553 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8094-3 |
| Product Code: | MEMO/307/1553.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7315-0 |
| eBook ISBN: | 978-1-4704-8094-3 |
| Product Code: | MEMO/307/1553.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 307; 2025; 207 ppMSC: Primary 60; Secondary 92
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Table of Contents
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Chapters
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1. Background, goals, and outline
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1. Model and Main Results
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2. Introduction of model and basic properties
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3. Main results: $N<\infty $, identification of clustering regime
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4. Main results: $N\to \infty $, renormalisation and multi-scale limit
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5. Main results $N\to \infty $: Orbit and cluster formation
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2. Preparations and Proofs
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6. Proofs: $N<\infty $, identification of clustering regime
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7. Preparation: $N\to \infty $, McKean-Vlasov process and mean-field
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8. Proofs: $N\to \infty $, mean-field finite-systems scheme
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9. Proofs: $N\to \infty $, mean-field, proof of abstract scheme
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10. Preparation: $N\to \infty $, two-colour mean-field
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11. Preparation: $N\to \infty $, two-level three-colour
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12. Proofs: $N\to \infty $, hierarchical multi-scale limit theorems
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13. Proofs: $N\to \infty $, orbit of renormalisation transformation
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A. Computation of scaling coefficients
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B. Meyer-Zheng topology
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 307; 2025; 207 pp
MSC: Primary 60; Secondary 92
-
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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.