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006 m     o  d        
007 cr |n|||||||||
008 170629s2017    sz      ob    001 0 eng d
020   $a9783319504872$q(electronic bk.)
035   $ab14326930-39ule_inst
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a519.282$223
084   $aAMS 60K37
084   $aAMS 60F10
084   $aAMS 60H05
084   $aAMS 60J10
084   $aAMS 82-01
084   $aAMS 82B20
084   $aAMS 82B41
084   $aAMS 82D60
084   $aLC QA274.73
100 1 $aComets, Francis$0739978
245 10$aDirected polymers in random environments$h[e-book] :$bÉcole d'Été de Probabilités de Saint-Flour XLVI-2016 /$cFrancis Comets
260   $aCham :$bSpringer,$c2017
300   $a1 online resource
336   $atext$btxt$2rdacontent
337   $acomputer$bc$2rdamedia
338   $aonline resource$bcr$2rdacarrier
490 1 $aLecture notes in mathematics,$x1617-9692 ;$v2175
504   $aIncludes bibliographical references and index
505 0 $a1 Introduction ; 2 Thermodynamics and Phase Transition ; 3 The martingale approach and the L2 region ; 4 Lattice versus tree ; 5 Semimartingale approach and localization transition ; 6 Log-Gamma polymer model ; 7 Kardar-Parisi-Zhang equation and universality ; 8 Variational formulas.
520   $aAnalyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. The main question is: What does the path of a random walk look like if rewards and penalties are spatially randomly distributed? This model, which provides a simplified version of stretched elastic chains pinned by random impurities, has attracted much research activity, but it (and its relatives) still holds many secrets, especially in high dimensions. It has non-gaussian scaling limits and it belongs to the so-called KPZ universality class when the space is one-dimensional. Adopting a Gibbsian approach, using general and powerful tools from probability theory, the discrete model is studied in full generality. Presenting the state-of-the art from different perspectives, and written in the form of a first course on the subject, this monograph is aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students
650  0$aRandom walks (Mathematics)
650  0$aMartingales (Mathematics)
711 2 $aEcole d'été de probabilités de Saint-Flour$n<46. ;$d2016 ;$cSaint-Flour, France>
776 08$aPrint version:$z9783319504865
856 40$uhttps://link.springer.com/book/10.1007/978-3-319-50487-2$zAn electronic book accessible through the World Wide Web
907   $a.b14326930$b03-03-22$c29-06-17
912   $a991003392369707536
996   $aDirected polymers in random environments$91466418
997   $aUNISALENTO
998   $ale013$b29-06-17$cm$d@  $e-$feng$gsz $h0$i0