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math.PR2015★ 8 cited
Maxima of branching random walks with piecewise constant variance
Frédéric Ouimet
This article extends the results of Fang & Zeitouni (2012a) on branching random walks (BRWs) with Gaussian increments in time inhomogeneous environments. We treat the case where th…
math.PR2015
Extremes of the two-dimensional Gaussian free field with scale-dependent variance
Louis-Pierre Arguin, Frédéric Ouimet
In this paper, we study a random field constructed from the two-dimensional Gaussian free field (GFF) by modifying the variance along the scales in the neighborhood of each point.…