LDR 03023cam0a2200361 4500 010 _a9783319504865 _bbr. 011 _a0075-8434 090 _a16250 101 _aeng 102 _aCH 100 _a20110708 frey50 200 _aDirected polymers in random environments _bCONG _eécole d'été de probabilités de Saint-Flour XLVI , 2016 _fFrancis Comets 210 _aCham _cSpringer _d2017 215 _a1 vol. (XV-199 p.) _cill. _d24 225 _aLecture notes in mathematics _v2175 _9168961 _x0075-8434 _iécole d'été de probabilités de Saint-Flour 320 _aBibliogr. p. 187-196. Index 330 _aPublisher's description: Analyzing 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 questions: 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. 410 _9132706 _aSpringer _tLecture notes in mathematics _x0075-8434 676 _a2010 686 _9165439 _a60-02 _bProbability theory and stochastic processes _xResearch exposition (monographs, survey articles) _20 686 _9165547 _a60K40 _bProbability theory and stochastic processes -- Special processes _xOther physical applications of random processes _20 686 _9165495 _a60G48 _bProbability theory and stochastic processes -- Stochastic processes _xGeneralizations of martingales _20 686 _9166638 _a82D60 _bStatistical mechanics, structure of matter -- Applications to specific types of physical systems _xPolymers _20 686 _9166591 _a82B26 _bStatistical mechanics, structure of matter -- Equilibrium statistical mechanics _xPhase transitions (general) _20 701 _4070 _aComets _bFrancis _f1956- _9171185 710 _4070 _9167607 _aécole d'été de probabilités de Saint-Flour _d46 _eSaint-Flour _f2016 856 _uhttps://link.springer.com/book/10.1007%2F978-3-319-50487-2 _zSpringerlink - résumé 856 _uhttps://zbmath.org/?q=an:06684616 _zzbMath 856 _uhttps://mathscinet.ams.org/mathscinet-getitem?mr=3444835 _zMSN 905 _aaw _b2017 906 _aaw _b2017-12-15 995 _f12442-01 _xachat Ebsco _918558 _cCMI _20 _kEcole STF _o0 _eSalle S _z29 _bCMI 001 16250