129 citations · 637 across the 37 of their papers we have counts for
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math.DS2020★ 1 cited
Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 1
Alexey Korepanov, Zemer Kosloff, Ian Melbourne
We consider deterministic homogenization (convergence to a stochastic differential equation) for multiscale systems of the form \[ x_{k+1} = x_k + n^{-1} a_n(x_k,y_k) + n^{-1/2} b_…
math.PR2020★ 54 cited
Langevin dynamic for the 2D Yang-Mills measure
Ajay Chandra, Ilya Chevyrev, Martin Hairer +1
We define a natural state space and Markov process associated to the stochastic Yang-Mills heat flow in two dimensions. To accomplish this we first introduce a space of distributio…