Ten lectures on the probabilistic method:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1994
|
| Ausgabe: | 2nd ed |
| Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
64 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and index The probabilistic method -- The deletion method and other refinements -- Random graphs I -- Large deviations and nonprobabilistic algorithms -- Discrepancy I -- Chaos from order -- Random graphs II -- The Lovasz local lemma -- Discrepancy II -- Six standard deviations suffice -- The Janson inequalities This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties |
| Beschreibung: | 1 Online-Ressource (vi, 88 Seiten) |
| ISBN: | 0898713250 9780898713251 |
| DOI: | 10.1137/1.9781611970074 |
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Datensatz im Suchindex
| _version_ | 1804148637555490816 |
|---|---|
| any_adam_object | |
| author | Spencer, Joel H. 1946- |
| author_GND | (DE-588)133091546 |
| author_facet | Spencer, Joel H. 1946- |
| author_role | aut |
| author_sort | Spencer, Joel H. 1946- |
| author_variant | j h s jh jhs |
| building | Verbundindex |
| bvnumber | BV039747293 |
| classification_rvk | SI 196 SK 800 SK 890 |
| collection | ZDB-72-SIA |
| ctrlnum | (OCoLC)873886429 (DE-599)BVBBV039747293 |
| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9781611970074 |
| edition | 2nd ed |
| format | Electronic eBook |
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| id | DE-604.BV039747293 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898713250 9780898713251 |
| language | English |
| lccn | 93040332 |
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| physical | 1 Online-Ressource (vi, 88 Seiten) |
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| series | CBMS-NSF regional conference series in applied mathematics |
| series2 | CBMS-NSF regional conference series in applied mathematics |
| spelling | Spencer, Joel H. 1946- Verfasser (DE-588)133091546 aut Ten lectures on the probabilistic method Joel Spencer 2nd ed Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1994 1 Online-Ressource (vi, 88 Seiten) txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 64 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and index The probabilistic method -- The deletion method and other refinements -- Random graphs I -- Large deviations and nonprobabilistic algorithms -- Discrepancy I -- Chaos from order -- Random graphs II -- The Lovasz local lemma -- Discrepancy II -- Six standard deviations suffice -- The Janson inequalities This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties Combinatorial analysis Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Kombinatorik (DE-588)4031824-2 s Wahrscheinlichkeitstheorie (DE-588)4079013-7 s DE-604 Graphentheorie (DE-588)4113782-6 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 0898713250 Erscheint auch als Druck-Ausgabe, Paperback 9780898713251 CBMS-NSF regional conference series in applied mathematics 64 (DE-604)BV046682627 64 https://doi.org/10.1137/1.9781611970074 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Spencer, Joel H. 1946- Ten lectures on the probabilistic method CBMS-NSF regional conference series in applied mathematics Combinatorial analysis Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Kombinatorik (DE-588)4031824-2 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4031824-2 (DE-588)4079013-7 (DE-588)4113782-6 |
| title | Ten lectures on the probabilistic method |
| title_auth | Ten lectures on the probabilistic method |
| title_exact_search | Ten lectures on the probabilistic method |
| title_full | Ten lectures on the probabilistic method Joel Spencer |
| title_fullStr | Ten lectures on the probabilistic method Joel Spencer |
| title_full_unstemmed | Ten lectures on the probabilistic method Joel Spencer |
| title_short | Ten lectures on the probabilistic method |
| title_sort | ten lectures on the probabilistic method |
| topic | Combinatorial analysis Probabilities Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Kombinatorik (DE-588)4031824-2 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Combinatorial analysis Probabilities Wahrscheinlichkeitsrechnung Kombinatorik Wahrscheinlichkeitstheorie Graphentheorie |
| url | https://doi.org/10.1137/1.9781611970074 |
| volume_link | (DE-604)BV046682627 |
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