Optimal transport: old and new
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
[2009]
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
338 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016771254&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverzeichnis: Seite 915 - 956 |
| Umfang: | xxii, 973 Seiten Illustrationen, Diagramme 235 mm x 155 mm |
| ISBN: | 9783540710493 9783662501801 |
Internformat
MARC
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|---|---|---|---|
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| 100 | 1 | |a Villani, Cédric |d 1973- |0 (DE-588)13389701X |4 aut | |
| 245 | 1 | 0 | |a Optimal transport |b old and new |c Cédric Villani |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c [2009] | |
| 264 | 4 | |c © 2009 | |
| 300 | |a xxii, 973 Seiten |b Illustrationen, Diagramme |c 235 mm x 155 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften |v 338 | |
| 500 | |a Literaturverzeichnis: Seite 915 - 956 | ||
| 650 | 0 | 7 | |a Transportproblem |0 (DE-588)4060694-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Reihenfolgeproblem |0 (DE-588)4242167-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Transportproblem |0 (DE-588)4060694-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Reihenfolgeproblem |0 (DE-588)4242167-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-540-71050-9 |
| 830 | 0 | |a Grundlehren der mathematischen Wissenschaften |v 338 |w (DE-604)BV000000395 |9 338 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016771254&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-016771254 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 490f 2011 A 5216 |
|---|---|
| DE-BY-TUM_katkey | 1775011 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010211377 |
| _version_ | 1821933518225145856 |
| adam_text | Contents
Preface
..................................................
VII
Conventions............................................
XVII
Introduction
1
1
Couplings and changes of variables
................... 5
2
Three examples of coupling techniques
............... 21
3
The founding fathers of optimal transport
........... 29
Part I Qualitative description of optimal transport
39
4
Basic properties
...................................... 43
5
Cyclical
monotonicity
and Kantorovich duality
....... 51
6
The
Wasserstein
distances
........................... 93
7
Displacement interpolation
...........................113
8
The Monge-Mather shortening principle
.............163
9
Solution of the
Monge
problem I: Global approach
... 205
10
Solution of the
Monge
problem II: Local approach
... 215
XIII
XIV Contents
11
The Jacobian equation
...............................273
12
Smoothness
..........................................281
13
Qualitative picture
...................................333
Part II Optimal transport and Riemannian geometry
353
14
Ricci
curvature
......................................357
15
Otto calculus
.........................................421
16
Displacement convexity I
............................435
17
Displacement convexity II
............................449
18
Volume control
......................................493
19
Density control and local regularity
..................505
20
Infinitesimal displacement convexity
.................525
21
Isoperimetric-type inequalities
.......................545
22
Concentration inequalities
...........................567
23
Gradient flows 1
......................................629
24
Gradient flows II: Qualitative properties
.............693
25
Gradient flows III: Functional inequalities
............719
Part III Synthetic treatment of
Ricci
curvature
731
26
Analytic and synthetic points of view
................735
27
Convergence of metric-measure spaces
...............743
28
Stability of optimal transport
........................773
Contents
XV
29
Weak
Ricci
curvature bounds I: Definition
and Stability
.........................................795
30
Weak
Ricci
curvature bounds II: Geometric
and analytic properties
...............................847
Conclusions and open problems
903
References
...............................................915
List of short statements
.................................957
List of figures
............................................965
Index
....................................................967
Some notable cost functions
.............................971
|
| any_adam_object | 1 |
| author | Villani, Cédric 1973- |
| author_GND | (DE-588)13389701X |
| author_facet | Villani, Cédric 1973- |
| author_role | aut |
| author_sort | Villani, Cédric 1973- |
| author_variant | c v cv |
| building | Verbundindex |
| bvnumber | BV035103311 |
| classification_rvk | SI 990 SK 870 SK 880 SK 970 |
| classification_tum | MAT 900f MAT 530f MAT 490f |
| ctrlnum | (OCoLC)262279119 (DE-599)DNB98984577X |
| dewey-full | 519.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.6 |
| dewey-search | 519.6 |
| dewey-sort | 3519.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035103311 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:20:15Z |
| institution | BVB |
| isbn | 9783540710493 9783662501801 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016771254 |
| oclc_num | 262279119 |
| open_access_boolean | |
| owner | DE-20 DE-384 DE-703 DE-355 DE-BY-UBR DE-29T DE-92 DE-19 DE-BY-UBM DE-83 DE-11 DE-739 DE-898 DE-BY-UBR DE-91G DE-BY-TUM DE-188 |
| owner_facet | DE-20 DE-384 DE-703 DE-355 DE-BY-UBR DE-29T DE-92 DE-19 DE-BY-UBM DE-83 DE-11 DE-739 DE-898 DE-BY-UBR DE-91G DE-BY-TUM DE-188 |
| physical | xxii, 973 Seiten Illustrationen, Diagramme 235 mm x 155 mm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series | Grundlehren der mathematischen Wissenschaften |
| series2 | Grundlehren der mathematischen Wissenschaften |
| spellingShingle | Villani, Cédric 1973- Optimal transport old and new Grundlehren der mathematischen Wissenschaften Transportproblem (DE-588)4060694-6 gnd Reihenfolgeproblem (DE-588)4242167-6 gnd |
| subject_GND | (DE-588)4060694-6 (DE-588)4242167-6 |
| title | Optimal transport old and new |
| title_auth | Optimal transport old and new |
| title_exact_search | Optimal transport old and new |
| title_full | Optimal transport old and new Cédric Villani |
| title_fullStr | Optimal transport old and new Cédric Villani |
| title_full_unstemmed | Optimal transport old and new Cédric Villani |
| title_short | Optimal transport |
| title_sort | optimal transport old and new |
| title_sub | old and new |
| topic | Transportproblem (DE-588)4060694-6 gnd Reihenfolgeproblem (DE-588)4242167-6 gnd |
| topic_facet | Transportproblem Reihenfolgeproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016771254&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000395 |
| work_keys_str_mv | AT villanicedric optimaltransportoldandnew |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 490f 2011 A 5216 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |