Invariant measures for nonexpansive Markov operators on Polish spaces:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2003
|
| Series: | Dissertationes mathematicae
415 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 62, II S. |
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Record in the Search Index
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| adam_text |
POLSKA AKADEMIA NAUK, INSTYTUT MATEMATYCZNY D I S S E R T A T I O N E S
M A T H E M A TI C A E (ROZPRAWY MATEMATYCZNE) KOMITET REDAKCYJNY
ANDRZEJ BIALYNICKI-BIRULA, BOGDAN BOJARSKI, ZBIGNIEW CIESIELSKI, LUDOMIR
NEWELSKI, ZBIGNIEW SEMADENI, JERZY ZABCZYK REDAKTOR, WIESLAW ZELAZKO
ZAST^PCA REDAKTORA 415 TOMASZ SZAREK INVARIANT MEASURES FOR NONEXPANSIVE
MARKOV OPERATORS ON POLISH SPACES SUB GOTTINGEN 7 210 439 874 WARSZAWA
2003 CONTENTS PART I 5 1. INTRODUCTION 5 2. PRELIMINARIES 8 2.1. BASIC
DEFINITIONS AND NOTATION 8 2.2. MARKOV OPERATORS AND SEMIGROUPS OF
MARKOV OPERATORS 9 2.3. PROPERTIES OF MARKOV OPERATORS 10 2.4. TECHNICAL
LEMMAS 11 3. NONEXPANSIVENESS 16 4. TIGHTNESS CRITERIA 17 5. INVARIANT
MEASURES FOR MARKOV OPERATORS 20 PART II 23 6. ITERATED FUNCTION SYSTEMS
23 6.1. INTRODUCTION 23 6.2. NONEXPANSIVENESS 24 6.3. INVARIANT MEASURES
27 6.4. CAPACITY OF INVARIANT MEASURES 32 7. STOCHASTICALLY PERTURBED
DYNAMICAL SYSTEMS *. 44 7.1. INTRODUCTION 44 7.2. NONEXPANSIVENESS 45
7.3. INVARIANT MEASURES 46 7.4. CAPACITY OF INVARIANT MEASURES 50 8.
POISSON DRIVEN STOCHASTIC DIFFERENTIAL EQUATIONS 51 8.1. INTRODUCTION 51
8.2. NONEXPANSIVENESS 53 8.3. INVARIANT MEASURES 54 8.4. CAPACITY OF
INVARIANT MEASURES ' 56 9. FINAL REMARKS 58 REFERENCES 59 INDEX 62 2000
MATHEMATICS SUBJECT CLASSIFICATION: PRIMARY 47A35, 60J05, 37A30;
SECONDARY 28D15, 60J75, 37A50. KEY WORDS AND PHRASES: MARKOV OPERATORS,
ITERATED FUNCTION SYSTEMS, STOCHASTICALLY PERTURBED DYNAMICAL SYSTEMS,
POISSON DRIVEN DIFFERENTIAL EQUATIONS, CAPACITY. RECEIVED 30.10.2001;
REVISED VERSION 16.5.2002. |
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| indexdate | 2025-03-31T20:04:10Z |
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| physical | 62, II S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Szarek, Tomasz Verfasser aut Invariant measures for nonexpansive Markov operators on Polish spaces Tomasz Szarek Warszawa Polska Akad. Nauk, Inst. Matematyczny 2003 62, II S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 415 Invariant measures Markov operators Polish spaces (Mathematics) Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s Markov-Prozess (DE-588)4134948-9 s DE-604 Dissertationes mathematicae 415 (DE-604)BV000003039 415 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010453915&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Szarek, Tomasz Invariant measures for nonexpansive Markov operators on Polish spaces Dissertationes mathematicae Invariant measures Markov operators Polish spaces (Mathematics) Markov-Prozess (DE-588)4134948-9 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4134948-9 (DE-588)4075665-8 |
| title | Invariant measures for nonexpansive Markov operators on Polish spaces |
| title_auth | Invariant measures for nonexpansive Markov operators on Polish spaces |
| title_exact_search | Invariant measures for nonexpansive Markov operators on Polish spaces |
| title_full | Invariant measures for nonexpansive Markov operators on Polish spaces Tomasz Szarek |
| title_fullStr | Invariant measures for nonexpansive Markov operators on Polish spaces Tomasz Szarek |
| title_full_unstemmed | Invariant measures for nonexpansive Markov operators on Polish spaces Tomasz Szarek |
| title_short | Invariant measures for nonexpansive Markov operators on Polish spaces |
| title_sort | invariant measures for nonexpansive markov operators on polish spaces |
| topic | Invariant measures Markov operators Polish spaces (Mathematics) Markov-Prozess (DE-588)4134948-9 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Invariant measures Markov operators Polish spaces (Mathematics) Markov-Prozess Operatortheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010453915&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT szarektomasz invariantmeasuresfornonexpansivemarkovoperatorsonpolishspaces |