2 papers
math.PR2025
Rates of memory loss for null recurrent Markov chains
Ilya Chevyrev, Alexey Korepanov
Orey (1962) proved that for an irreducible, aperiodic, and recurrent Markov chain with transition operator , the sequence converges to zero in total variation for…
math.DS2024
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…