Une initiation aux inégalités de Sobolev logarithmiques /
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| Author / Creator: | Royer, Gilles. |
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| Imprint: | Paris : Société mathématique de France, 1999. |
| Description: | 114 p. ; 25 cm. |
| Language: | French |
| Series: | Cours spécialisés, 1284-6090 ; 5 Collection SMF. Cours spécialisés ; no 5. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6370191 |
| Summary: | The book starts with an introduction to logarithmic Sobolev inequalities. Then the author shows how these inequalities are used in mathematical statistical physics to prove the ergodicity of certain unbounded lattice spins systems with weak interactions. Only a narrow angle in the wide domain of Gibbs measures is considered in the book, but it is an important development by B. Zegarlinski of one of R. L. Dobrushin's fundamental ideas about describing a random field in terms of conditional probablities. The book provides most of the required basic notions, such as self-adjoint operators, diffusion processes and Gibbs measures. Some complements and exercises are also provided. |
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| Physical Description: | 114 p. ; 25 cm. |
| Bibliography: | Includes bibliographical references (p. [111]-114). |
| ISBN: | 2856290752 9782856290750 |
| ISSN: | 1284-6090 ; |
