Measures on topological semigroups: convolution products and random walks
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1976
|
| Series: | Lecture notes in mathematics
547 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IV, 197 Seiten |
| ISBN: | 3540079874 0387079874 |
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MARC
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| 245 | 1 | 0 | |a Measures on topological semigroups |b convolution products and random walks |c Arunava Mukherjea ; Nicolas A. Tserpes |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1976 | |
| 300 | |a IV, 197 Seiten | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 547 | |
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| 650 | 4 | |a Measure theory | |
| 650 | 4 | |a Random walks (Mathematics) | |
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Record in the Search Index
| _version_ | 1814970713285591040 |
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| adam_text |
TABLE OP CONTENTS
Chapter I. Measures on semigroups 1
1. Introduction 1
2. Preliminaries on semigroups 2
3. Invariant measures on semigroups 11
The support of a r* invariant measure 16
The structure of idempotent probability measures 25
Comments on the results of section 3 . 28
4. Limit theorems for probability measures 29
Weak* convergence of convolution products:
on a compact group 43, 69
on a compact semigroup 47, 65 a 68
on a completely simple semigroup 505 67
on a countable discrete group . . . 73
Almost sure convergence of products of random variables . 86
Weak* convergence on noncompact groups 95
Comments on the results of section 4 107
5. Limit behavior of convolution iterates of a probability measure on
a topological semigroup: two concrete examples 108
The first example: the semigroup tOj°°) . 108
The second example: the semigroup of 2 x 2 stochastic matrices . 112
Continuation of the second example: the semigroup of n x n
stochastic matrices 125
Comnents on the results of section 5 130
Chapter II. Recurrent random walks on topological groups and semigroups . 139
1. Introduction 139
2. Notations 143
3. The unilateral walks in the case of completely simple semigroups . 147
4. The three random walks in the case of compact semigroups 161
5. Miscellaneous results 180
Index 196 |
| any_adam_object | 1 |
| author | Mukherjea, Arunava 1941- Tserpes, Nicolas A. |
| author_GND | (DE-588)1114090360 |
| author_facet | Mukherjea, Arunava 1941- Tserpes, Nicolas A. |
| author_role | aut aut |
| author_sort | Mukherjea, Arunava 1941- |
| author_variant | a m am n a t na nat |
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| bvnumber | BV001971784 |
| callnumber-first | Q - Science |
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| dewey-full | 515/.785 510/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515/.785 510/.8 |
| dewey-search | 515/.785 510/.8 |
| dewey-sort | 3515 3785 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV001971784 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-06T11:02:34Z |
| institution | BVB |
| isbn | 3540079874 0387079874 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001286037 |
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| physical | IV, 197 Seiten |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Mukherjea, Arunava 1941- (DE-588)1114090360 aut Measures on topological semigroups convolution products and random walks Arunava Mukherjea ; Nicolas A. Tserpes Berlin [u.a.] Springer 1976 IV, 197 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 547 Marches aléatoires (Mathématiques) Mesure, Théorie de la Semi-groupes topologiques Measure theory Random walks (Mathematics) Topological semigroups Topologische Halbgruppe (DE-588)4200462-7 gnd rswk-swf Messtheorie (DE-588)4169537-9 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Irrfahrtsproblem (DE-588)4162442-7 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Topologische Gruppe (DE-588)4135793-0 gnd rswk-swf Topologische Halbgruppe (DE-588)4200462-7 s Maßtheorie (DE-588)4074626-4 s DE-604 Irrfahrtsproblem (DE-588)4162442-7 s Messtheorie (DE-588)4169537-9 s Stochastischer Prozess (DE-588)4057630-9 s Topologische Gruppe (DE-588)4135793-0 s Tserpes, Nicolas A. aut Erscheint auch als Online-Ausgabe 978-3-540-07987-3 Lecture notes in mathematics 547 (DE-604)BV000676446 547 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001286037&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mukherjea, Arunava 1941- Tserpes, Nicolas A. Measures on topological semigroups convolution products and random walks Lecture notes in mathematics Marches aléatoires (Mathématiques) Mesure, Théorie de la Semi-groupes topologiques Measure theory Random walks (Mathematics) Topological semigroups Topologische Halbgruppe (DE-588)4200462-7 gnd Messtheorie (DE-588)4169537-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd Maßtheorie (DE-588)4074626-4 gnd Topologische Gruppe (DE-588)4135793-0 gnd |
| subject_GND | (DE-588)4200462-7 (DE-588)4169537-9 (DE-588)4057630-9 (DE-588)4162442-7 (DE-588)4074626-4 (DE-588)4135793-0 |
| title | Measures on topological semigroups convolution products and random walks |
| title_auth | Measures on topological semigroups convolution products and random walks |
| title_exact_search | Measures on topological semigroups convolution products and random walks |
| title_full | Measures on topological semigroups convolution products and random walks Arunava Mukherjea ; Nicolas A. Tserpes |
| title_fullStr | Measures on topological semigroups convolution products and random walks Arunava Mukherjea ; Nicolas A. Tserpes |
| title_full_unstemmed | Measures on topological semigroups convolution products and random walks Arunava Mukherjea ; Nicolas A. Tserpes |
| title_short | Measures on topological semigroups |
| title_sort | measures on topological semigroups convolution products and random walks |
| title_sub | convolution products and random walks |
| topic | Marches aléatoires (Mathématiques) Mesure, Théorie de la Semi-groupes topologiques Measure theory Random walks (Mathematics) Topological semigroups Topologische Halbgruppe (DE-588)4200462-7 gnd Messtheorie (DE-588)4169537-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd Maßtheorie (DE-588)4074626-4 gnd Topologische Gruppe (DE-588)4135793-0 gnd |
| topic_facet | Marches aléatoires (Mathématiques) Mesure, Théorie de la Semi-groupes topologiques Measure theory Random walks (Mathematics) Topological semigroups Topologische Halbgruppe Messtheorie Stochastischer Prozess Irrfahrtsproblem Maßtheorie Topologische Gruppe |
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| volume_link | (DE-604)BV000676446 |
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