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On the scaling limit of simple random walk excursion measure in the plane
Brownian excursion measure Brownian motion simple random walk excursion measure excursion Poisson kernel strong approximation scaling limit
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2009/6/12
The Brownian excursion measure is a conformally invariant innite measure on curves. It gured prominently in one of rst major applications of SLE, namely the explicit calculations of the planar Brownia...
The scaling limit of senile reinforced random walk
random walk reinforcement invariance principle fractional kinetics time-change
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2009/4/29
This paper proves that the scaling limit of nearest-neighbour senile reinforced random walk is Brownian Motion when the time T spent on the first edge has finite mean. We show that under suitable cond...
The scaling limit of senile reinforced random walk
senile reinforced random walk scaling limit
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2009/4/22
This paper proves that the scaling limit of nearest-neighbour senile reinforced random walk is Brownian Motion when the time T spent on the first edge has finite mean. We show that under suitable cond...
Dichotomy in a scaling limit under Wiener measure with density
deviation principle scaling limit measure density
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2009/3/27
In general, if the large deviation principle holds for a sequence of probability measures and its rate functional admits a unique minimizer, then the measures asymptotically concentrate in its neighbo...
Dichotomy in a scaling limit under Wiener measure with density
Dichotomy scaling limit measure density
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2009/3/23
In general, if the large deviation principle holds for a sequence of probability measures and its rate functional admits a unique minimizer, then the measures asymptotically concentrate in its neighbo...