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math.PR2018
Large Deviations from the Hydrodynamic Limit for a System with Nearest Neighbor Interactions
Sayan Banerjee, Amarjit Budhiraja, Michael Perlmutter
We give a new proof of the large deviation principle from the hydrodynamic limit for the Ginzberg-Landau model studied in Donsker and Varadhan (1989) using techniques from the theo…
math.PR2015
A Method of Rotations for Lévy Multipliers
Michael Perlmutter
We use a method of rotations to study the boundedness, , of Fourier multipliers which arise as the projection of martingale transforms with respect to symmetric $…
math.PR2013
On a class of Calderón-Zygmund operators arising from projections of martingale transforms
Michael Perlmutter
We prove that a large class of operators, which arise as the projections of martingale transforms of stochastic integrals with respect to Brownian motion, as well as other closely…