Scaling limits for weakly pinned random walks with two large deviation minimizers
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- Funaki Tadahisa
- Graduate School of Mathematical Sciences, The University of Tokyo
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- Otobe Tatsushi
- Railway Technical Research Institute
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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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 62 (3), 1005-1041, 2010
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680092118400
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- NII Article ID
- 10027870981
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 10764283
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed