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math.PR2019
Strong law of large numbers for a function of the local times of a transient random walk in
I. M. Asymont, D. Korshunov
For an arbitrary transient random walk in , , we prove a strong law of large numbers for the spatial sum of…
math.PR2019
Renewal Theory for Transient Markov Chains with Asymptotically Zero Drift
Denis Denisov, Dmitry Korshunov, Vitali Wachtel
We solve the problem of asymptotic behaviour of the renewal measure (Green function) generated by a transient Lamperti's Markov chain in , that is, when the drift…