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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
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...
Brownian Excursion Conditioned on Its Local Time
Brownian excursion continuum random tree Kingman's coalescent local time
2009/5/8
For a function $ell$ satisfying suitable integrability (but not continuity) requirements, we construct a process $(B^ell_u, 0 leq u leq 1)$ interpretable as Brownian excursion conditioned to have loca...