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Multidimensional random walks in random environments with subclassical limiting behavior

Publication ,  Journal Article
Durrett, R
Published in: Communications in Mathematical Physics
March 1, 1986

In this paper we will describe and analyze a class of multidimensional random walks in random environments which contain the one dimensional nearest neighbor situation as a special case and have the pleasant feature that quite a lot can be said about them. Our results make rigorous a heuristic argument of Marinari et al. (1983), and show that in any d<∞ we can have (a)Xn is recurrent and (b)Xn∼(log n)2. © 1986 Springer-Verlag.

Duke Scholars

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

March 1, 1986

Volume

104

Issue

1

Start / End Page

87 / 102

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics
 

Citation

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MLA
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Durrett, R. (1986). Multidimensional random walks in random environments with subclassical limiting behavior. Communications in Mathematical Physics, 104(1), 87–102. https://doi.org/10.1007/BF01210794
Durrett, R. “Multidimensional random walks in random environments with subclassical limiting behavior.” Communications in Mathematical Physics 104, no. 1 (March 1, 1986): 87–102. https://doi.org/10.1007/BF01210794.
Durrett R. Multidimensional random walks in random environments with subclassical limiting behavior. Communications in Mathematical Physics. 1986 Mar 1;104(1):87–102.
Durrett, R. “Multidimensional random walks in random environments with subclassical limiting behavior.” Communications in Mathematical Physics, vol. 104, no. 1, Mar. 1986, pp. 87–102. Scopus, doi:10.1007/BF01210794.
Durrett R. Multidimensional random walks in random environments with subclassical limiting behavior. Communications in Mathematical Physics. 1986 Mar 1;104(1):87–102.
Journal cover image

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

March 1, 1986

Volume

104

Issue

1

Start / End Page

87 / 102

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics