| 000 | 02448nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-21216-1 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083803.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110704s2011 gw | s |||| 0|eng d | ||
| 020 |
_a9783642212161 _9978-3-642-21216-1 |
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| 024 | 7 |
_a10.1007/978-3-642-21216-1 _2doi |
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| 050 | 4 | _aQA273.A1-274.9 | |
| 050 | 4 | _aQA274-274.9 | |
| 072 | 7 |
_aPBT _2bicssc |
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| 072 | 7 |
_aPBWL _2bicssc |
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| 072 | 7 |
_aMAT029000 _2bisacsh |
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| 082 | 0 | 4 |
_a519.2 _223 |
| 100 | 1 |
_aLe Jan, Yves. _eauthor. |
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| 245 | 1 | 0 |
_aMarkov Paths, Loops and Fields _h[electronic resource] : _bÉcole d'Été de Probabilités de Saint-Flour XXXVIII – 2008 / _cby Yves Le Jan. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011. |
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| 300 |
_aVIII, 124p. 9 illus. _bonline resource. |
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| 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 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2026 |
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| 505 | 0 | _a1 Symmetric Markov processes on finite spaces -- 2 Loop measures -- 3 Geodesic loops -- 4 Poisson process of loops -- 5 The Gaussian free field -- 6 Energy variation and representations -- 7 Decompositions -- 8 Loop erasure and spanning trees -- 9 Reflection positivity -- 10 The case of general symmetric Markov processes. | |
| 520 | _aThe purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the free field. These relations are first studied in complete generality for the finite discrete setting, then partly generalized to specific examples in infinite and continuous spaces. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aPotential theory (Mathematics). | |
| 650 | 0 | _aDistribution (Probability theory). | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aProbability Theory and Stochastic Processes. |
| 650 | 2 | 4 | _aPotential Theory. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783642212154 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2026 |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-21216-1 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c107926 _d107926 |
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