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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-23592

Bolthausen, E; Funaki, T; Otobe, T (2009). Concentration under scaling limits for weakly pinned Gaussian random walks. Probability Theory and Related Fields, 143(3-4):441-480.

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We study scaling limits for d-dimensional Gaussian random walks perturbed by an attractive force toward a certain subspace of $$\mathbb {R}^d$$, especially under the critical situation that the rate functional of the corresponding large deviation principle admits two minimizers. We obtain different type of limits, in a positive recurrent regime, depending on the co-dimension of the subspace and the conditions imposed at the final time under the presence or absence of a wall. The motivation comes from the study of polymers or (1 + 1)-dimensional interfaces with δ-pinning.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Deposited On:11 Nov 2009 14:33
Last Modified:28 Nov 2013 01:39
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:10.1007/s00440-007-0132-8
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2475669
Citations:Web of Science®. Times Cited: 4
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Scopus®. Citation Count: 4

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