| 000 | 02666nam a22003975a 4500 | ||
|---|---|---|---|
| 001 | 149-120503 | ||
| 003 | CH-001817-3 | ||
| 005 | 20170613140808.0 | ||
| 006 | a fot ||| 0| | ||
| 007 | cr nn mmmmamaa | ||
| 008 | 120503e20120511sz fot ||| 0|eng d | ||
| 020 | _a9783037196090 | ||
| 024 | 7 | 0 |
_a10.4171/109 _2doi |
| 040 | _ach0018173 | ||
| 072 | 7 |
_aPBT _2bicssc |
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| 084 |
_a60-xx _a82-xx _2msc |
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| 100 | 1 |
_aSznitman, Alain-Sol, _eauthor. |
|
| 245 | 1 | 0 |
_aTopics in Occupation Times and Gaussian Free Fields _h[electronic resource] / _cAlain-Sol Sznitman |
| 260 | 3 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2012 |
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| 264 | 1 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2012 |
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| 300 | _a1 online resource (121 pages) | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 0 | _aZurich Lectures in Advanced Mathematics (ZLAM) | |
| 506 | 1 |
_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php |
|
| 520 | _aThis book grew out of a graduate course at ETH Zurich during the Spring term 2011. It explores various links between such notions as occupation times of Markov chains, Gaussian free fields, Poisson point processes of Markovian loops, and random interlacements, which have been the object of intensive research over the last few years. These notions are developed in the convenient set-up of finite weighted graphs endowed with killing measures. The book first discusses elements of continuous-time Markov chains, Dirichlet forms, potential theory, together with some consequences for Gaussian free fields. Next, isomorphism theorems and generalized Ray-Knight theorems, which relate occupation times of Markov chains to Gaussian free fields, are pre- sented. Markovian loops are constructed and some of their key properties derived. The field of occupation times of Poisson point processes of Markovian loops is investigated. Of special interest are its connection to the Gaussian free field, and a formula of Symanzik. Finally, links between random interlacements and Markovian loops are discussed, and some further connections with Gaussian free fields are mentioned. | ||
| 650 | 0 | 7 |
_aProbability & statistics _2bicssc |
| 650 | 0 | 7 |
_aProbability theory and stochastic processes _2msc |
| 650 | 0 | 7 |
_aStatistical mechanics, structure of matter _2msc |
| 700 | 1 |
_aSznitman, Alain-Sol, _eauthor. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.4171/109 |
| 856 | 4 | 2 |
_3cover image _uhttp://www.ems-ph.org/img/books/sznitman_mini.jpg |
| 942 |
_2EBK13823 _cEBK |
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| 999 |
_c50447 _d50447 |
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