Set transformations and invariant measures: A survey
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Danish |
| Veröffentlicht: |
Aarhus
Matematisk Inst.
1966
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| Schriftenreihe: | Matematisk Institut <Aarhus, Univ.>: Various publications series.
No. 3. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Text engl. |
| Beschreibung: | Getr.Seitenzähl. |
Internformat
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| 100 | 1 | |a Jørsboe, Ole G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Set transformations and invariant measures |b A survey |c Ole Groth Jørsboe* |
| 264 | 1 | |a Aarhus |b Matematisk Inst. |c 1966 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS.
Page
£h_ap_ter 1; Measure theoretical concepts. 1.1
§1. Definitinns and notations. 1.1
§2. Theorems in measure theory. 1.3
§3. Decomposition of signed measures. 1.9
§4. Non atomic measures. 1.10
§5. Banach limits. 1.14
Chapter 2% On existence of finite invariant measures
(discrete case). 2.1
§1. Formulation of the problem, 2.1
§24 Various definitions. 2.3
§3. Some necessary and sufficient condi .
tions. 2.5
§4. Birkhofffs ergodic theorem. 2.16
§5. Some more necessary and sufficient con
diti ns. 2.21
§6. Recurrence, eonservativeness, incompres
sibility. 2.22
.7. On Invariant measure T as joptoticaily
stronger than a given measure. 2.26
.8, Concerning one to one transforma¬
tions. 2.28
§9. F . Hopf s condition. 2.31
Chapter 3° On existence of finite envariant measu¬
res (continuous case). 3.1
§1. Introduction. 3.1
§2. Some necessary and sufficient condi , •
tions. • 3.2
§3 Samples. 3.7
Chapter 4. On ergodic transformations. 4.1
§1. Some theorems on ergodic transforma¬
tions. 4.1
§2. Sxamples of ergodic transformations. 4.6
Page
§3. Comparison of two equivalent measures. 4.12
§4* When a finite, invariant and equiva¬
lent measure does not exist. 4.17
§5. Representation of invariant measures
by invariant ergodic measures. 4.28
§6. Review of chapter 2 and 3. 4.36
Chapter 5 s Markov processes. 5.1
§1. Introduction. 5.1
§2. St tement of the results about necessa¬
ry and sufficient conditions for the
existence of invariant measures. 5.4
§3. Proofs of the theorems. 5.6
§4. Kakutani s ergodic theorem. 5.18
§5. On ergodic measures. 5.23
§6. Conservative and dissipative part of a
Markov process. . 5.24
Appendix. A. 1
§1. Proof of Hurewicz1 ergodic theorem. A.1
§2, Proof of a theorem of Y.N. Dowker. A.5
§3. Proof of Chacon Ornstein s ergodic
theorem. A.7
References*
|
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| id | DE-604.BV005709592 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:28Z |
| institution | BVB |
| language | Danish |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003566683 |
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| physical | Getr.Seitenzähl. |
| publishDate | 1966 |
| publishDateSearch | 1966 |
| publishDateSort | 1966 |
| publisher | Matematisk Inst. |
| record_format | marc |
| series | Matematisk Institut <Aarhus, Univ.>: Various publications series. |
| series2 | Matematisk Institut <Aarhus, Univ.>: Various publications series. |
| spelling | Jørsboe, Ole G. Verfasser aut Set transformations and invariant measures A survey Ole Groth Jørsboe* Aarhus Matematisk Inst. 1966 Getr.Seitenzähl. txt rdacontent n rdamedia nc rdacarrier Matematisk Institut <Aarhus, Univ.>: Various publications series. No. 3. Text engl. Invariantes Maß (DE-588)4352361-4 gnd rswk-swf Meßbare Transformation gnd rswk-swf Meßbare Transformation f Invariantes Maß (DE-588)4352361-4 s DE-604 Matematisk Institut <Aarhus, Univ.>: Various publications series. No. 3. (DE-604)BV002786061 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003566683&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jørsboe, Ole G. Set transformations and invariant measures A survey Matematisk Institut <Aarhus, Univ.>: Various publications series. Invariantes Maß (DE-588)4352361-4 gnd |
| subject_GND | (DE-588)4352361-4 |
| title | Set transformations and invariant measures A survey |
| title_auth | Set transformations and invariant measures A survey |
| title_exact_search | Set transformations and invariant measures A survey |
| title_full | Set transformations and invariant measures A survey Ole Groth Jørsboe* |
| title_fullStr | Set transformations and invariant measures A survey Ole Groth Jørsboe* |
| title_full_unstemmed | Set transformations and invariant measures A survey Ole Groth Jørsboe* |
| title_short | Set transformations and invariant measures |
| title_sort | set transformations and invariant measures a survey |
| title_sub | A survey |
| topic | Invariantes Maß (DE-588)4352361-4 gnd |
| topic_facet | Invariantes Maß Meßbare Transformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003566683&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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