Directed Polymers in Random Environments

Name: Directed Polymers in Random Environments
Brand: Springer International Publishing AG
SKU: 9783319504865
Price: 161.8 PLN
Availability: InStock

École d'Été de Probabilités de Saint-Flour XLVI - 2016

Autor: Francis Comets

Język:

Oprawa: Miękka

Wydawca: Springer International Publishing AG

Dostępność: Dostępna u dostawcy

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Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers...

Informacje o książce

Autor

Francis Comets

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2017

strony

199

EAN

9783319504865

ISBN

331950486X

Enbook ID

15362992

Wydawca

Springer International Publishing AG

Waga

346

Wymiary

234 x 156 x 18

Pełny opis

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 question is: 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.

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Directed Polymers in Random Environments

École d'Été de Probabilités de Saint-Flour XLVI - 2016

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