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math.PR2012★ 2 cited
Local maxima of two dependent Brownian Motions never coincide
E. A. Cator
We consider two dependent Brownian motions with (possibly) different drift, and apply a result by le Gall on cone points of two dimensional Brownian motion to show that with probab…
math.PR2012
Space-time stationary solutions for the Burgers equation
Yuri Bakhtin, Eric Cator, Konstantin Khanin
We construct space-time stationary solutions of the 1D Burgers equation with random forcing in the absence of periodicity or any other compactness assumptions. More precisely, for…