## 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

APA

Chicago

ICMJE

MLA

NLM

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/BF01210794Durrett, 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.

## 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