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On the local times of stationary processes with conditional local limit theorems (1704.04304v1)
Published 14 Apr 2017 in math.PR
Abstract: We investigate the connection between conditional local limit theorems and the local time of integer-valued stationary processes. We show that a conditional local limit theorem (at 0) implies the convergence of local times to Mittag-Leffler distributions, both in the weak topology of distributions and a.s. in the space of distributions.
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