24 citations · 44 across the 16 of their papers we have counts for
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3 papers · 1 filter
math.PR2017★ 3 cited
Substitution Markov chains and Martin boundaries
David Koslicki, Manfred Denker
Substitution Markov chains have been introduced [7] as a new model to describe molecular evolution. In this note, we study the associated Martin boundaries from a probabilistic and…
math.PR2017
On the local times of stationary processes with conditional local limit theorems
Manfred Denker, Xiaofei Zheng
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…
math.PR2017
Occupation times of discrete-time fractional Brownian motion
Manfred Denker, Xiaofei Zheng
We prove a conditional local limit theorem for discrete-time fractional Brownian motions (dfBm) with Hurst parameter 3/4<H<1. Using results from infinite ergodic theory it is then…