374 citations · 1.2k across the 68 of their papers we have counts for
Showing 2009 · math.PRShow all
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math.PR2009★ 10 cited
The natural parametrization for the Schramm-Loewner evolution
Gregory F. Lawler, Scott Sheffield
The Schramm-Loewner evolution (SLE_κ) is a candidate for the scaling limit of random curves arising in two-dimensional critical phenomena. When κ< 8, an instance of SLE_κis a rando…
math.PR2009
Fixation for Distributed Clustering Processes
Marcelo R. Hilario, Oren Louidor, Charles M. Newman +3
We study a discrete-time resource flow in , where wealthier vertices attract the resources of their less rich neighbors. For any translation-invariant probability distribution…
math.PR2009★ 1 cited
Power law Polya's urn and fractional Brownian motion
Alan Hammond, Scott Sheffield
We introduce a natural family of random walks on the set of integers that scale to fractional Brownian motion. The increments X_n have the property that given {X_k: k < n}, the con…