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Bibliographic Details
Main Author:	Kolčin, Valentin F. 1934- (Author)
Format:	Book
Language:	English
Published:	New York Optimization Software, Publications Division [1986]
Series:	Translations series in mathematics and engineering
Subjects:	Kombinatorik Zufallsfunktion Stochastischer Prozess
Online Access:	Inhaltsverzeichnis
Item Description:	Aus dem Russischen übersetzt
Physical Description:	xiv, 206 Seiten
ISBN:	3540961542 0387961542 0911575162

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MARC


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Record in the Search Index

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adam_text	Contents Foreword ix Preface xi Chapter 1. The General Scheme of Allocating Particles and Random Mappings 1 1.1. Probabilistic approach to enumerative problems of combinatorics 3 1.2. The general scheme of allocation and polynomial distribution 7 1.3. Reduction of combinatorial problem to the general scheme of allocation: examples 12 1.4. Local limit theorems 15 1.5. Multiplicities of vertices in a random mapping . 19 1.6. Connectivity of graphs and the general scheme of allocation 26 1.7. The general scheme of allocation and random substitutions 35 1.8. Properties of the logarithmic distribution . 37 1.9. Cycles of a random substitution 45 1.10. Linear combinations of lengths of cycles . 50 1.11. Order of a random substitution 59 1.12. Components of a random mapping and the general scheme of allocation 72 1.13. The order sequence of components of a random mapping 80 1.14. Notes and references 88 viii CONTENTS Chapter 2. Branching Processes and Random Trees 95 2.1. Branching processes 97 2.2. Relationship of branching processes and random trees 107 2.3. Limit theorems for conditional distributions of a critical branching process 112 2.4. Conditional distribution of the moment of extinction of a critical branching process . . . 119 2.5. Limit distributions of characteristics of a random tree 135 2.6. Notes and references 143 Chapter 3. Random Forests and Random Mappings 147 3.1. Relationship of forests and mappings 149 3.2. Sizes of trees in a random mapping 154 3.3. Maximal size of trees in a random mapping . 165 3.4. Branching processes and random forests 171 3.5. Height of a random mapping 177 3.6. Notes and references 187 References 199 Index 205 Transliteration table (Russian English) 207 List of OSI publications (cont. ) 208
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author	Kolčin, Valentin F. 1934-
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id	DE-604.BV000706200
illustrated	Not Illustrated
indexdate	2024-09-13T14:01:03Z
institution	BVB
isbn	3540961542 0387961542 0911575162
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-000441005
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owner	DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-188 DE-83
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physical	xiv, 206 Seiten
publishDate	1986
publishDateSearch	1986
publishDateSort	1986
publisher	Optimization Software, Publications Division
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series2	Translations series in mathematics and engineering
spelling	Kolčin, Valentin F. 1934- (DE-588)123001110 aut Slučajnye otobraženija Random mappings Valentin F. Kolchin New York Optimization Software, Publications Division [1986] © 1986 xiv, 206 Seiten txt rdacontent n rdamedia nc rdacarrier Translations series in mathematics and engineering Aus dem Russischen übersetzt Kombinatorik (DE-588)4031824-2 gnd rswk-swf Zufallsfunktion (DE-588)4191096-5 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Kombinatorik (DE-588)4031824-2 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Zufallsfunktion (DE-588)4191096-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000441005&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Kolčin, Valentin F. 1934- Random mappings Kombinatorik (DE-588)4031824-2 gnd Zufallsfunktion (DE-588)4191096-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd
subject_GND	(DE-588)4031824-2 (DE-588)4191096-5 (DE-588)4057630-9
title	Random mappings
title_alt	Slučajnye otobraženija
title_auth	Random mappings
title_exact_search	Random mappings
title_full	Random mappings Valentin F. Kolchin
title_fullStr	Random mappings Valentin F. Kolchin
title_full_unstemmed	Random mappings Valentin F. Kolchin
title_short	Random mappings
title_sort	random mappings
topic	Kombinatorik (DE-588)4031824-2 gnd Zufallsfunktion (DE-588)4191096-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd
topic_facet	Kombinatorik Zufallsfunktion Stochastischer Prozess
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000441005&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT kolcinvalentinf slucajnyeotobrazenija AT kolcinvalentinf randommappings

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