Journal of the Mathematical Society of Japan

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

Tadahisa FUNAKI and Tatsushi OTOBE

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

First available in Project Euclid: 30 July 2010

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Zentralblatt MATH identifier

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 60F10: Large deviations 82B41: Random walks, random surfaces, lattice animals, etc. [See also 60G50, 82C41]

scaling limit large deviation random walks pinning


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.

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