书目名称 | Directed Polymers in Random Environments |
副标题 | École d‘Été de Proba |
编辑 | Francis Comets |
视频video | |
概述 | The first book to be devoted to this active field of research in probability and statistical physics.Aimed at experienced researchers, but also accessible to masters and Ph.D. students.Authored by a l |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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 monographis aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students.. |
出版日期 | Book 2017 |
关键词 | random polymer models; random media; localization; Kardar-Parisi-Zhang equation; pinning transition |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-50487-2 |
isbn_softcover | 978-3-319-50486-5 |
isbn_ebook | 978-3-319-50487-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer International Publishing AG 2017 |