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math.PR2018★ 20 cited
Planar Brownian motion and Gaussian multiplicative chaos
Antoine Jego
We construct the analogue of Gaussian multiplicative chaos measures for the local times of planar Brownian motion by exponentiating the square root of the local times of small circ…
math.PR2018★ 14 cited
Thick points of random walk and the Gaussian free field
Antoine Jego
We consider the thick points of random walk, i.e. points where the local time is a fraction of the maximum. In two dimensions, we answer a question of Dembo, Peres, Rosen and Zeito…