Gibbs measures and phase transitions /:
"This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; New York :
De Gruyter,
©2011.
|
| Ausgabe: | 2nd ed. |
| Schriftenreihe: | De Gruyter studies in mathematics ;
9. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert. In its latter function it informs the reader about the state of the art in several directions. It is introductory in the sense that it does not assume any prior knowledge of statistical mechanics and is accessible to a general readership of mathematicians with a basic knowledge of measure theory and probability. As such it should contribute considerably to the further growth of the already lively interest in statistical mechanics on the part of probabilists and other mathematicians."Fredos Papangelou, Zentralblatt MATH The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area. |
| Beschreibung: | 1 online resource (xiv, 545 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 3110250292 9783110250299 9783110250329 3110250322 1283166364 9781283166362 9786613166364 6613166367 |
| ISSN: | 0179-0986 ; |
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| 588 | 0 | |a Print version record. | |
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| 546 | |a In English. | ||
| 650 | 0 | |a Measure theory. |0 http://id.loc.gov/authorities/subjects/sh85082702 | |
| 650 | 0 | |a Phase transformations (Statistical physics) |0 http://id.loc.gov/authorities/subjects/sh85100646 | |
| 650 | 0 | |a Probabilities. |0 http://id.loc.gov/authorities/subjects/sh85107090 | |
| 650 | 2 | |a Probability |0 https://id.nlm.nih.gov/mesh/D011336 | |
| 650 | 6 | |a Théorie de la mesure. | |
| 650 | 6 | |a Transitions de phase. | |
| 650 | 6 | |a Probabilités. | |
| 650 | 7 | |a probability. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Measure theory |2 fast | |
| 650 | 7 | |a Phase transformations (Statistical physics) |2 fast | |
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| 653 | |a Gaussian Fields. | ||
| 653 | |a Gibbs Measures. | ||
| 653 | |a Markov Chains. | ||
| 653 | |a Phase Transition. | ||
| 653 | |a Statistical Mechanics. | ||
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| contents | pt. 1. General theory and basic examples -- pt. 2. Markov chains and Gauss fields as Gibbs measures -- pt. 3. Shift-invariant Gibbs measures -- pt. 4. Phase transitions in reflection positive models. |
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| id | ZDB-4-EBA-ocn755884955 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:02Z |
| institution | BVB |
| isbn | 3110250292 9783110250299 9783110250329 3110250322 1283166364 9781283166362 9786613166364 6613166367 |
| issn | 0179-0986 ; |
| language | English |
| oclc_num | 755884955 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 545 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | De Gruyter, |
| record_format | marc |
| series | De Gruyter studies in mathematics ; |
| series2 | De Gruyter studies in mathematics, |
| spelling | Georgii, Hans-Otto. Gibbs measures and phase transitions / Hans-Otto Georgii. 2nd ed. Berlin ; New York : De Gruyter, ©2011. 1 online resource (xiv, 545 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter studies in mathematics, 0179-0986 ; 9 Includes bibliographical references and index. pt. 1. General theory and basic examples -- pt. 2. Markov chains and Gauss fields as Gibbs measures -- pt. 3. Shift-invariant Gibbs measures -- pt. 4. Phase transitions in reflection positive models. Print version record. "This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert. In its latter function it informs the reader about the state of the art in several directions. It is introductory in the sense that it does not assume any prior knowledge of statistical mechanics and is accessible to a general readership of mathematicians with a basic knowledge of measure theory and probability. As such it should contribute considerably to the further growth of the already lively interest in statistical mechanics on the part of probabilists and other mathematicians."Fredos Papangelou, Zentralblatt MATH The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area. In English. Measure theory. http://id.loc.gov/authorities/subjects/sh85082702 Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probability https://id.nlm.nih.gov/mesh/D011336 Théorie de la mesure. Transitions de phase. Probabilités. probability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Measure theory fast Phase transformations (Statistical physics) fast Probabilities fast Phasenumwandlung gnd http://d-nb.info/gnd/4132140-6 Gibbs-Maß gnd http://d-nb.info/gnd/4157328-6 Gaussian Fields. Gibbs Measures. Markov Chains. Phase Transition. Statistical Mechanics. Print version: Georgii, Hans-Otto. Gibbs measures and phase transitions. 2nd ed. Berlin ; New York : De Gruyter, ©2011 (DLC) 2011006346 De Gruyter studies in mathematics ; 9. 0179-0986 http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=388247 Volltext |
| spellingShingle | Georgii, Hans-Otto Gibbs measures and phase transitions / De Gruyter studies in mathematics ; pt. 1. General theory and basic examples -- pt. 2. Markov chains and Gauss fields as Gibbs measures -- pt. 3. Shift-invariant Gibbs measures -- pt. 4. Phase transitions in reflection positive models. Measure theory. http://id.loc.gov/authorities/subjects/sh85082702 Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probability https://id.nlm.nih.gov/mesh/D011336 Théorie de la mesure. Transitions de phase. Probabilités. probability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Measure theory fast Phase transformations (Statistical physics) fast Probabilities fast Phasenumwandlung gnd http://d-nb.info/gnd/4132140-6 Gibbs-Maß gnd http://d-nb.info/gnd/4157328-6 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082702 http://id.loc.gov/authorities/subjects/sh85100646 http://id.loc.gov/authorities/subjects/sh85107090 https://id.nlm.nih.gov/mesh/D011336 http://d-nb.info/gnd/4132140-6 http://d-nb.info/gnd/4157328-6 |
| title | Gibbs measures and phase transitions / |
| title_auth | Gibbs measures and phase transitions / |
| title_exact_search | Gibbs measures and phase transitions / |
| title_full | Gibbs measures and phase transitions / Hans-Otto Georgii. |
| title_fullStr | Gibbs measures and phase transitions / Hans-Otto Georgii. |
| title_full_unstemmed | Gibbs measures and phase transitions / Hans-Otto Georgii. |
| title_short | Gibbs measures and phase transitions / |
| title_sort | gibbs measures and phase transitions |
| topic | Measure theory. http://id.loc.gov/authorities/subjects/sh85082702 Phase transformations (Statistical physics) http://id.loc.gov/authorities/subjects/sh85100646 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probability https://id.nlm.nih.gov/mesh/D011336 Théorie de la mesure. Transitions de phase. Probabilités. probability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Measure theory fast Phase transformations (Statistical physics) fast Probabilities fast Phasenumwandlung gnd http://d-nb.info/gnd/4132140-6 Gibbs-Maß gnd http://d-nb.info/gnd/4157328-6 |
| topic_facet | Measure theory. Phase transformations (Statistical physics) Probabilities. Probability Théorie de la mesure. Transitions de phase. Probabilités. probability. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Measure theory Probabilities Phasenumwandlung Gibbs-Maß |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=388247 |
| work_keys_str_mv | AT georgiihansotto gibbsmeasuresandphasetransitions |