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Title:  Weak weak quenched limits for the pathvalued processes of hitting times and positions of a transient, onedimensional random walk in a random environment 
Authors:  Peterson, Jonathon Samorodnitsky, Gennady 
Keywords:  Weak quenched limits point process heavy tails random probability measure probabilityvalued cadlag functions 
Issue Date:  15Dec2011 
Abstract:  In this article we continue the study of the quenched distributions of
transient, onedimensional random walks in a random environment. In a
previous article we showed that while the quenched distributions of
the hitting times do not converge to any deterministic distribution,
they do have a weak weak limit in the sense that  viewed as random elements of the space of probability measures  they converge in distribution to a certain random probability measure (we refer to this as a weak weak limit because it is a weak limit in the weak topology).
Here, we improve this result to the pathvalued process of hitting
times. As a consequence, we are able to also prove a weak weak quenched
limit theorem for the path of the random walk itself. 
URI:  http://hdl.handle.net/1813/28221 
Appears in Collections:  ORIE Technical Reports

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