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math.PR2025
On conditions for Dobrushin's Central limit theorem for non-homogeneous Markov chains
Alexander Veretennikov, Aisha Nurieva
A new sufficient condition is proposed in the problem of Central Limit Theorem in the array scheme for non-homogeneous Markov Chains.
math.PR2024★ 1 cited
Existence and uniqueness results for strongly degenerate McKean-Vlasov equations with rough coefficients
Andrea Pascucci, Alessio Rondelli, Alexander Yu Veretennikov
We present existence results for weak solutions to a broad class of degenerate McKean-Vlasov equations with rough coefficients, expanding upon and refining the techniques recently…
math.PR2024
On Dobrushin's central limit theorem for non-homogeneous Markov chain array scheme
Alexander Veretennikov, Aisha Nurieva
A new version of a sufficient condition of a Dobrushin type is proposed for non-homogeneous Markov chains for a certain class of such processes. The original Dobrushin's condition…