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The Resource Directed polymers in random environments : École d'été de probabilités de Saint-Flour, XLVI-2016, Francis Comets

Directed polymers in random environments : École d'été de probabilités de Saint-Flour, XLVI-2016, Francis Comets

Label
Directed polymers in random environments : École d'été de probabilités de Saint-Flour, XLVI-2016
Title
Directed polymers in random environments
Title remainder
École d'été de probabilités de Saint-Flour, XLVI-2016
Statement of responsibility
Francis Comets
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
OHX
http://library.link/vocab/creatorName
Comets, Francis
Illustrations
illustrations
Index
no index present
LC call number
QA3
LC item number
.L28 no.2175
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorDate
2016
http://library.link/vocab/relatedWorkOrContributorName
Ecole d'été de probabilités de Saint-Flour
Series statement
  • Lecture notes in mathematics,
  • École d'été de probabilités de Saint-Flour,
Series volume
2175.
http://library.link/vocab/subjectName
  • Random walks (Mathematics)
  • Martingales (Mathematics)
Label
Directed polymers in random environments : École d'été de probabilités de Saint-Flour, XLVI-2016, Francis Comets
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 187-196) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Thermodynamics and Phase Transition -- The Martingale Approach and the L 2 Region -- Lattice Versus Tree -- Semimartingale Approach and Localization Transition -- The Localized Phase -- Log-Gamma Polymer Model -- Kardar-Parisi-Zhang Equation and Universality -- Variational Formulas
Control code
973216767
Dimensions
24 cm.
Extent
xv, 199 pages
Isbn
9783319504865
Lccn
2017931071
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other control number
9783319504865
Other physical details
illustrations
System control number
(OCoLC)973216767
Label
Directed polymers in random environments : École d'été de probabilités de Saint-Flour, XLVI-2016, Francis Comets
Publication
Bibliography note
Includes bibliographical references (pages 187-196) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Thermodynamics and Phase Transition -- The Martingale Approach and the L 2 Region -- Lattice Versus Tree -- Semimartingale Approach and Localization Transition -- The Localized Phase -- Log-Gamma Polymer Model -- Kardar-Parisi-Zhang Equation and Universality -- Variational Formulas
Control code
973216767
Dimensions
24 cm.
Extent
xv, 199 pages
Isbn
9783319504865
Lccn
2017931071
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other control number
9783319504865
Other physical details
illustrations
System control number
(OCoLC)973216767

Library Locations

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