129 citations · 637 across the 37 of their papers we have counts for
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math.DS2023★ 2 cited
Superdiffusive limits beyond the Marcus regime for deterministic fast-slow systems
Ilya Chevyrev, Alexey Korepanov, Ian Melbourne
We consider deterministic fast-slow dynamical systems of the form \[ x_{k+1}^{(n)} = x_k^{(n)} + n^{-1} A(x_k^{(n)}) + n^{-1/α} B(x_k^{(n)}) v(y_k), \quad y_{k+1} = Ty_k, \] where…
math.PR2023★ 3 cited
Invariant measure and universality of the 2D Yang-Mills Langevin dynamic
Ilya Chevyrev, Hao Shen
We prove that the Yang-Mills (YM) measure for the trivial principal bundle over the two-dimensional torus, with any connected, compact structure group, is invariant for the associa…