Classification problems in ergodic theory:
The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theo...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1982
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Schriftenreihe: | London Mathematical Society lecture note series
67 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theory. However, there has been growing interest in isomorphisms of a more restrictive and perhaps more realistic nature which recognize and respect the state structure of processes in various ways. These notes give an account of some recent developments in this direction. A special feature is the frequent use of the information function as an invariant in a variety of special isomorphism problems. Lecturers and postgraduates in mathematics and research workers in communication engineering will find this book of use and interest |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (101 pages) |
ISBN: | 9780511629389 |
DOI: | 10.1017/CBO9780511629389 |
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490 | 0 | |a London Mathematical Society lecture note series |v 67 | |
500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
520 | |a The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theory. However, there has been growing interest in isomorphisms of a more restrictive and perhaps more realistic nature which recognize and respect the state structure of processes in various ways. These notes give an account of some recent developments in this direction. A special feature is the frequent use of the information function as an invariant in a variety of special isomorphism problems. Lecturers and postgraduates in mathematics and research workers in communication engineering will find this book of use and interest | ||
650 | 4 | |a Ergodic theory | |
650 | 4 | |a Isomorphisms (Mathematics) | |
650 | 0 | 7 | |a Ergodentheorie |0 (DE-588)4015246-7 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Ergodentheorie |0 (DE-588)4015246-7 |D s |
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Datensatz im Suchindex
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any_adam_object | |
author | Parry, William 1934-2006 |
author_facet | Parry, William 1934-2006 |
author_role | aut |
author_sort | Parry, William 1934-2006 |
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building | Verbundindex |
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dewey-full | 515.4/2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.4/2 |
dewey-search | 515.4/2 |
dewey-sort | 3515.4 12 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511629389 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:17Z |
institution | BVB |
isbn | 9780511629389 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351217 |
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physical | 1 online resource (101 pages) |
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publishDate | 1982 |
publishDateSearch | 1982 |
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publisher | Cambridge University Press |
record_format | marc |
series2 | London Mathematical Society lecture note series |
spelling | Parry, William 1934-2006 Verfasser aut Classification problems in ergodic theory William Parry and Selim Tuncel Cambridge Cambridge University Press 1982 1 online resource (101 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 67 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theory. However, there has been growing interest in isomorphisms of a more restrictive and perhaps more realistic nature which recognize and respect the state structure of processes in various ways. These notes give an account of some recent developments in this direction. A special feature is the frequent use of the information function as an invariant in a variety of special isomorphism problems. Lecturers and postgraduates in mathematics and research workers in communication engineering will find this book of use and interest Ergodic theory Isomorphisms (Mathematics) Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s 1\p DE-604 Tuncel, Selim Sonstige oth Erscheint auch als Druckausgabe 978-0-521-28794-4 https://doi.org/10.1017/CBO9780511629389 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Parry, William 1934-2006 Classification problems in ergodic theory Ergodic theory Isomorphisms (Mathematics) Ergodentheorie (DE-588)4015246-7 gnd |
subject_GND | (DE-588)4015246-7 |
title | Classification problems in ergodic theory |
title_auth | Classification problems in ergodic theory |
title_exact_search | Classification problems in ergodic theory |
title_full | Classification problems in ergodic theory William Parry and Selim Tuncel |
title_fullStr | Classification problems in ergodic theory William Parry and Selim Tuncel |
title_full_unstemmed | Classification problems in ergodic theory William Parry and Selim Tuncel |
title_short | Classification problems in ergodic theory |
title_sort | classification problems in ergodic theory |
topic | Ergodic theory Isomorphisms (Mathematics) Ergodentheorie (DE-588)4015246-7 gnd |
topic_facet | Ergodic theory Isomorphisms (Mathematics) Ergodentheorie |
url | https://doi.org/10.1017/CBO9780511629389 |
work_keys_str_mv | AT parrywilliam classificationproblemsinergodictheory AT tuncelselim classificationproblemsinergodictheory |