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…