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math.PR2022
Speed Function for Biased Random Walks with Traps
Volker Betz, Matthias Meiners, Ivana Tomic
We consider a biased nearest-neighbor random walk on which at each step is trapped for some random time with random, site-dependent mean. We derive a simple formula for the sp…
math.PR2016★ 1 cited
Convergence of complex martingales in the branching random walk: the boundary
Konrad Kolesko, Matthias Meiners
Biggins [Uniform convergence of martingales in the branching random walk. {\em Ann. Probab.}, 20(1):137--151, 1992] proved local uniform convergence of additive martingales in -…
math.PR2014★ 1 cited
Exponential moments of first passage times and related quantities for Lévy processes
Frank Aurzada, Alexander Iksanov, Matthias Meiners
For a Lévy process on the real line, we provide complete criteria for the finiteness of exponential moments of the first passage time into the interval , the sojourn ti…