## Journal of the Mathematical Society of Japan

### Scaling limits for weakly pinned random walks with two large deviation minimizers

#### Abstract

The scaling limits for d-dimensional random walks perturbed by an attractive force toward the origin are studied under the critical situation that the rate functional of the corresponding large deviation principle admits two minimizers. Our results extend those obtained by [2] from the mean-zero Gaussian to non-Gaussian setting under the absence of the wall.

#### Article information

Source
J. Math. Soc. Japan, Volume 62, Number 3 (2010), 1005-1041.

Dates
First available in Project Euclid: 30 July 2010

https://projecteuclid.org/euclid.jmsj/1280496828

Digital Object Identifier
doi:10.2969/jmsj/06231005

Mathematical Reviews number (MathSciNet)
MR2648071

Zentralblatt MATH identifier
1197.60090

#### Citation

FUNAKI, Tadahisa; OTOBE, Tatsushi. Scaling limits for weakly pinned random walks with two large deviation minimizers. J. Math. Soc. Japan 62 (2010), no. 3, 1005--1041. doi:10.2969/jmsj/06231005. https://projecteuclid.org/euclid.jmsj/1280496828

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