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008 110704s2011 gw | s |||| 0|eng d
020 _a9783642212161
_9978-3-642-21216-1
040 _cMX-MeUAM
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
082 0 4 _a519.2
_223
100 1 _aLe Jan, Yves.
_eauthor.
245 1 0 _aMarkov Paths, Loops and Fields
_h[recurso electrónico] :
_bÉcole d'Été de Probabilités de Saint-Flour XXXVIII – 2008 /
_cby Yves Le Jan.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aVIII, 124p. 9 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2026
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
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-21216-1
596 _a19
942 _cLIBRO_ELEC
999 _c204100
_d204100