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Scaling limits for weakly pinned random walks with two large deviation minimizers
Tadahisa FUNAKI and Tatsushi OTOBE
Source: J. Math. Soc. Japan Volume 62, Number 3
(2010), 1005-1041.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1280496828
Digital Object Identifier: doi:10.2969/jmsj/06231005
Zentralblatt MATH identifier: 05786479
Mathematical Reviews number (MathSciNet): MR2648071
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