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  5. Weak quenched limiting distributions for transient one-dimensional random walk in a random environment

Weak quenched limiting distributions for transient one-dimensional random walk in a random environment

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DetScalingFinal.pdf (312.24 KB)
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Permanent Link(s)
https://hdl.handle.net/1813/19321
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ORIE Technical Reports
Author
Peterson, Jonathon
Samorodnitsky, Gennady
Abstract

We consider a one-dimensional, transient random walk in a random i.i.d. environment. The asymptotic behaviour of such random walk depends to a large extent on a crucial parameter kappa>0 that determines the fluctuations of the process. When 0

Sponsorship
J. Peterson was partially supported by National Science Foundation grant DMS-0802942. G. Samorodnitsky was partially supported by ARO grant
W911NF-10-1-0289 and NSF grant DMS-1005903 at Cornell University
Date Issued
2010-12-07
Keywords
weak quenched limits
•
point process
•
heavy tails
Type
technical report

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