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math.PR2025
Random walks on rank one symmetric spaces of noncompact type
Fedor Gnetov, Valentin Konakov
We establish a central limit theorem, a local limit theorem, and a law of large numbers for a natural random walk on a symmetric space of non-compact type and rank one. This cl…
math.PR2025
Asymptotic version of the parametrix method for Markov chains converging to diffusions
I. Bitter, V. Konakov
The paper presents a generalization of the local limit theorem on the convergence of inhomogeneous Markov chains to the diffusion limit for the case where the corresponding process…