Localization of random walks to competing manifolds of distinct dimensions

We consider localization of a random walk (RW) when attracted or repelled by multiple extended manifolds of different dimensionalities. In particular, we consider a RW near a rectangular wedge in two dimensions, where the (zero-dimensional) corner and the (one-dimensional) wall have competing locali...

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Bibliographic Details
Main Authors: Levi, Raz Halifa, Kantor, Yacov, Kardar, Mehran
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2018
Online Access:http://hdl.handle.net/1721.1/117339
https://orcid.org/0000-0002-1112-5912