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Two switching multiple disorder problems for Brownian motions
Multiple disorder problem optimal switching problem Brownian motion
2010/11/8
The multiple disorder problem seeks to determine a sequence of stopping times which are as close as possible to the unknown times of disorders at which the observation process changes its probability ...
Non-additive disorder problems for some diffusion processes
parabolic-type free-boundary problem a change-of-variable formula with local time on surfaces
2010/10/19
We study the Bayesian problem of detecting a change in the drift rate of an observable diffusion process with certain non-additive detection delay penalty criterions. We express the Bayesian risk func...
Unspecified distribution in single disorder problem
Disorder problem sequential detection optimal stopping Markov process change point
2010/3/19
We register a stochastic sequence affected by one disorder. Monitoring of the sequence
is made in the circumstances when not full information about distributions
before and after the change is avail...
Strong disorder implies strong localization for directed polymers in a random environment
Directed polymers Random environment strong disorder localization parabolic Anderson
2009/6/12
In this note we show that in any dimension d, the strong disorder property implies the strong localization property. This is established for a continuous time model of directed polymersin arandom envi...
A Condition for Weak Disorder for Directed Polymers in Random Environment
Directed polymer in random environment weak disorder size-biasing
2009/4/28
We give a sufficient criterion for the weak disorder regime of directed polymers in random environment, which extends a well-known second moment criterion. We use a stochastic representation of the si...