On Sudakov's type decomposition of transference plans with norm costs:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
January 2018
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 251, number 1197 (fourth of 6 numbers) |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | vi, 112, 4 ungezählte Seiten Illustrationen |
| ISBN: | 9781470427665 |
Internformat
MARC
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| 020 | |a 9781470427665 |c pbk. |9 978-1-4704-2766-5 | ||
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| 100 | 1 | |a Bianchini, Stefano |d 1970- |0 (DE-588)1014938767 |4 aut | |
| 245 | 1 | 0 | |a On Sudakov's type decomposition of transference plans with norm costs |c Stefano Bianchini ; Sara Daneri |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c January 2018 | |
| 300 | |a vi, 112, 4 ungezählte Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 251, number 1197 (fourth of 6 numbers) | |
| 650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zerlegung |g Mathematik |0 (DE-588)4190746-2 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Daneri, Sara |d 1983- |0 (DE-588)1150654961 |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804178397756129281 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1. Sudakov’s strategy in the strictly convex case 2
2. Sudakov’s strategy in the general convex case 5
3. Structure of the paper 18
Chapter 2. General notations and definitions 21
1. Functions and multifunctions 21
2. Affine subspaces, convex sets and norms 22
3. Measures and disintegration 24
4. Optimal transportation problems 26
5. Linear preorders, uniqueness and optimality 27
6. Optimal transportation problems with convex norm and cone costs 33
7. Transportation problems with convex norms and cone costs on Lipschitz
graphs 34
8. Optimal transportation problems on directed locally affine partitions 35
9. From directed partitions to directed fibrations 41
Chapter 3. Directed locally affine partitionson cone-Lipschitz foliations 49
1. Convex cone-Lipschitz graphs 49
2. Convex cone-Lipschitz foliations 51
3. Regular transport sets and residual set 54
4. Super/subdifferential directed partitions of regular sets 60
5. Analysis of the residual set 63
6. Optimal transportation on c¿-Lipschitz foliations 65
7. Dimensional reduction on directed partitions via cone approximation
property 69
8. Model sets of directed segments 69
9. ¿-dimensional model sets 74
10. ¿-dimensional sheaf sets and £ -cylinders 76
11. Negligibility of initial/final points 77
Chapter 4. Proof of Theorem 1.1 81
Chapter 5. From -fibrations to linearly ordered Cfc-Lipschitz foliations 85
1. Construction of a ,/}, i )-compatible linear preorder 86
2. Minimal (c^, /x, z )-compatible linear preorder 91
3. Cone approximation property for linearly ordered
Cq-Lipschitz foliations 93
Chapter 6. Proof of Theorems 1.2-1.6. 101
iii
IV
CONTENTS
1. Proof of Theorems 1.6 and 1.2 101
2. Proof of Theorems 1.3 and 1.5 102
Appendix A. Minimality of equivalence relations 103
Chapter B. Notation 105
Chapter C. Index of definitions 109
Bibliography 111
|
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| author | Bianchini, Stefano 1970- Daneri, Sara 1983- |
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| id | DE-604.BV044868670 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:03:20Z |
| institution | BVB |
| isbn | 9781470427665 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030263158 |
| oclc_num | 1028929842 |
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| physical | vi, 112, 4 ungezählte Seiten Illustrationen |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Bianchini, Stefano 1970- (DE-588)1014938767 aut On Sudakov's type decomposition of transference plans with norm costs Stefano Bianchini ; Sara Daneri Providence, Rhode Island American Mathematical Society January 2018 vi, 112, 4 ungezählte Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 251, number 1197 (fourth of 6 numbers) Optimierung (DE-588)4043664-0 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 s Optimierung (DE-588)4043664-0 s 1\p DE-604 Daneri, Sara 1983- (DE-588)1150654961 aut Memoirs of the American Mathematical Society volume 251, number 1197 (fourth of 6 numbers) (DE-604)BV008000141 1197 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030263158&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bianchini, Stefano 1970- Daneri, Sara 1983- On Sudakov's type decomposition of transference plans with norm costs Memoirs of the American Mathematical Society Optimierung (DE-588)4043664-0 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4190746-2 |
| title | On Sudakov's type decomposition of transference plans with norm costs |
| title_auth | On Sudakov's type decomposition of transference plans with norm costs |
| title_exact_search | On Sudakov's type decomposition of transference plans with norm costs |
| title_full | On Sudakov's type decomposition of transference plans with norm costs Stefano Bianchini ; Sara Daneri |
| title_fullStr | On Sudakov's type decomposition of transference plans with norm costs Stefano Bianchini ; Sara Daneri |
| title_full_unstemmed | On Sudakov's type decomposition of transference plans with norm costs Stefano Bianchini ; Sara Daneri |
| title_short | On Sudakov's type decomposition of transference plans with norm costs |
| title_sort | on sudakov s type decomposition of transference plans with norm costs |
| topic | Optimierung (DE-588)4043664-0 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd |
| topic_facet | Optimierung Zerlegung Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030263158&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT bianchinistefano onsudakovstypedecompositionoftransferenceplanswithnormcosts AT danerisara onsudakovstypedecompositionoftransferenceplanswithnormcosts |