Directed Polymers in Random Environments - Ecole d'Ete de Probabilites de Saint-Flour XLVI - 2016 (Paperback, 1st ed. 2017)

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 questionis: 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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Ecole d'Ete de Probabilites de Saint-Flour, 2175
Release date:	February 2017
First published:	2017
Authors:	Francis Comets
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	199
Edition:	1st ed. 2017
ISBN-13:	978-3-319-50486-5
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids) Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN:	3-319-50486-X
Barcode:	9783319504865

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