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Small time asymptotics in local limit theorems for Markov chains converging to diffusions

Valentin Konakov
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Abstract

We consider triangular arrays of Markov chains that converge weakly to a diffusion process. Local limit theorems for transition densities are proved. The observation time [0,T] may be fixed or lim n T = 0, where nh = T and h is a mesh between two neighboring observation points.

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Valentin Konakov. 2006-02-20. Small time asymptotics in local limit theorems for Markov chains converging to diffusions. https://arxiv.org/abs/math/0602429

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