Directed Polymers In Random Environments

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Directed Polymers in Random Environments

Author : Francis Comets
Publisher : Springer
ISBN 13 : 3319504878
Total Pages : 210 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Directed Polymers in Random Environments by : Francis Comets

Download or read book Directed Polymers in Random Environments written by Francis Comets and published by Springer. This book was released on 2017-01-26 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Random Polymers

Author : Frank Hollander
Publisher : Springer Science & Business Media
ISBN 13 : 364200332X
Total Pages : 271 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Random Polymers by : Frank Hollander

Download or read book Random Polymers written by Frank Hollander and published by Springer Science & Business Media. This book was released on 2009-05-14 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical description of some of these phenomena, offering a mathematical panorama of polymer chains.

The Directed Polymer in a Random Environment

Author : John M. Noble
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (258 download)

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Book Synopsis The Directed Polymer in a Random Environment by : John M. Noble

Download or read book The Directed Polymer in a Random Environment written by John M. Noble and published by . This book was released on 1996 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Condition for Weak Disorder for Directed Polymers in Random Environment

Author : Matthias Birkner
Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (633 download)

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Book Synopsis A Condition for Weak Disorder for Directed Polymers in Random Environment by : Matthias Birkner

Download or read book A Condition for Weak Disorder for Directed Polymers in Random Environment written by Matthias Birkner and published by . This book was released on 2003 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Directed Polymers in Random Media

Author : Vu-Lan Nguyen
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (993 download)

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Book Synopsis Directed Polymers in Random Media by : Vu-Lan Nguyen

Download or read book Directed Polymers in Random Media written by Vu-Lan Nguyen and published by . This book was released on 2016 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis focuses on (mostly 1 + 1 dimensional) directed polymers in random media. These are classical and celebrated models in the statistical mechanics of disordered systems and describe a one dimensional interface interacting with a d + 1-dimensional random environment where it is immersed. A very important question is to understand, in the limit where the polymer's length tends to infinity and for a typical realization of the environment, the geometric properties of the polymer: typical transversal displacement of the endpoint and its fluctuations, polymer localization at strong disorder around typical tubes determined by disorder... A strictly related problem of great interest is to study the fluctuations of the free energy. The main focus is on the so-called log-gamma polymer. This model, introduced by Seppalainen, is obtained by making a specific choice for the disorder law: the random variables are inverse Gamma variables. For this specific disorder choice, he proved that the variance of the log of the partition function is of order N"2/3, as expected by KPZ theory. This was refined into a full limit theorem Tracy -Widom type fluctuations) by Corwin, O'Connell, Seppalainen and Zygouras, via an explicit formula for the Laplace transform of a single partition function. It was until now an open problem to compute correlations between partition functions with different end-points and to study the asymptotic distribution of the polymer's endpoint. The present thesis addresses, among others, these two very challenging problems. On the other hand, we consider applications of stochastic orders on the study of directed polymer and disordered systems.

Directed Polymers in Random Media and Kinetic Roughening in Interface Growth

Author : Keum Yoon
Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (346 download)

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Book Synopsis Directed Polymers in Random Media and Kinetic Roughening in Interface Growth by : Keum Yoon

Download or read book Directed Polymers in Random Media and Kinetic Roughening in Interface Growth written by Keum Yoon and published by . This book was released on 1994 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Directed Polymers in a Random Medium

Author : Joanna Cook
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Directed Polymers in a Random Medium by : Joanna Cook

Download or read book Directed Polymers in a Random Medium written by Joanna Cook and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Directed Polymers in a Random Medium

Author : Joanna Cook
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Directed Polymers in a Random Medium by : Joanna Cook

Download or read book Directed Polymers in a Random Medium written by Joanna Cook and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Diffusion of Random Walk in a Random Environment

Author : Lester N. Coyle
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Diffusion of Random Walk in a Random Environment by : Lester N. Coyle

Download or read book Diffusion of Random Walk in a Random Environment written by Lester N. Coyle and published by . This book was released on 1995 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimensions

Author : Alexei Borodin
Publisher :
ISBN 13 :
Total Pages : 73 pages
Book Rating : 4.:/5 (796 download)

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Book Synopsis Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimensions by : Alexei Borodin

Download or read book Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimensions written by Alexei Borodin and published by . This book was released on 2012 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rescaled Directed Random Polymer in Random Environment in Dimension 1+2

Author : Zi Sheng Feng
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis Rescaled Directed Random Polymer in Random Environment in Dimension 1+2 by : Zi Sheng Feng

Download or read book Rescaled Directed Random Polymer in Random Environment in Dimension 1+2 written by Zi Sheng Feng and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Localization of Directed Polymers in Two-dimensional Random Media to Attractive Defect Lines

Author : Mathew Steuck
Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (792 download)

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Book Synopsis Localization of Directed Polymers in Two-dimensional Random Media to Attractive Defect Lines by : Mathew Steuck

Download or read book Localization of Directed Polymers in Two-dimensional Random Media to Attractive Defect Lines written by Mathew Steuck and published by . This book was released on 2011 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Polymers

Author : Frank Den Hollander
Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.:/5 (114 download)

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Book Synopsis Random Polymers by : Frank Den Hollander

Download or read book Random Polymers written by Frank Den Hollander and published by . This book was released on 2009 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges.

Stochastic Analysis on Large Scale Interacting Systems

Author : Kyōto Daigaku. Kiso Butsurigaku Kenkyūjo. Conference
Publisher : Virago Press
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stochastic Analysis on Large Scale Interacting Systems by : Kyōto Daigaku. Kiso Butsurigaku Kenkyūjo. Conference

Download or read book Stochastic Analysis on Large Scale Interacting Systems written by Kyōto Daigaku. Kiso Butsurigaku Kenkyūjo. Conference and published by Virago Press. This book was released on 2004 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of 15 research and survey papers written by the speakers from two international conferences held in Japan, The 11th Mathematical Society of Japan International Research Institute's Stochastic Analysis on Large Scale Interacting Systems and Stochastic Analysis and Statistical Mechanics. Topics discussed in the volume cover the hydrodynamic limit, fluctuations, large deviations, spectral gap (Poincare inequality), logarithmic Sobolev inequality, Ornstein-Zernike asymptotics, random environments, determinantal expressions for systems including exclusion processes (stochastic lattice gas, Kawasaki dynamics), zero range processes, interacting Brownian particles, random walks, self-avoiding walks, Ginzburg-Landau model, interface models, Ising model, Widom-Rowlinson model, directed polymers, random matrices, Dyson's model, and more. The material is suitable for graduate students and researchers interested in probability theory, stochastic processes, and statistical mechanics.

Free Energy Fluctuations for Directed Polymers in Random Media in 1+1 Dimension

Author : Alexei Borodin
Publisher :
ISBN 13 :
Total Pages : 73 pages
Book Rating : 4.:/5 (17 download)

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Book Synopsis Free Energy Fluctuations for Directed Polymers in Random Media in 1+1 Dimension by : Alexei Borodin

Download or read book Free Energy Fluctuations for Directed Polymers in Random Media in 1+1 Dimension written by Alexei Borodin and published by . This book was released on 2012 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Correlated Random Systems: Five Different Methods

Author : Véronique Gayrard
Publisher : Springer
ISBN 13 : 3319176749
Total Pages : 213 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Correlated Random Systems: Five Different Methods by : Véronique Gayrard

Download or read book Correlated Random Systems: Five Different Methods written by Véronique Gayrard and published by Springer. This book was released on 2015-06-09 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups and random matrices. These methods, presented in a series of lectures delivered within the Jean-Morlet initiative (Spring 2013), play a fundamental role in the current development of probability theory and statistical mechanics. The lectures were: Random Polymers by E. Bolthausen, Spontaneous Replica Symmetry Breaking and Interpolation Methods by F. Guerra, Derrida's Random Energy Models by N. Kistler, Isomorphism Theorems by J. Rosen and Spectral Properties of Wigner Matrices by B. Schlein. This book is the first in a co-edition between the Jean-Morlet Chair at CIRM and the Springer Lecture Notes in Mathematics which aims to collect together courses and lectures on cutting-edge subjects given during the term of the Jean-Morlet Chair, as well as new material produced in its wake. It is targeted at researchers, in particular PhD students and postdocs, working in probability theory and statistical physics.

Probability and Analysis in Interacting Physical Systems

Author : Peter Friz
Publisher : Springer
ISBN 13 : 303015338X
Total Pages : 294 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Probability and Analysis in Interacting Physical Systems by : Peter Friz

Download or read book Probability and Analysis in Interacting Physical Systems written by Peter Friz and published by Springer. This book was released on 2019-05-24 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15–19 August, 2016. This volume contains ten research articles authored by several of Varadhan's former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan's deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation. The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.