LDR 02997cam0a2200349   4500
010    _a9783319504865
       _bbr.
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
001     16250
995    _f12442-01
       _xachat Ebsco
       _918558
       _cCMI
       _20
       _kEcole STF
       _o0
       _eSalle S
       _z29
       _bCMI
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