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math.PR2016
Small drift limit theorems for random walks
Ernst Schulte-Geers, Wolfgang Stadje
We show analogs of the classical arcsine theorem for the occupation time of a random walk in in the case of a small positive drift. To study the asymptotic behavior o…
math.PR2014
Maximal percentages in Polya's urn
Ernst Schulte-Geers, Wolfgang Stadje
We show that the supremum of the successive percentages of red balls in Pólya's urn model is almost surely rational, give the set of values that are taken with positive probability…
math.PR2012
The rate of convergence to stationarity for M/G/1 models with admission controls via coupling
Martin Kolb, Wolfgang Stadje, Achim Wübker
We study the workload processes of two restricted M/G/1 queueing systems: in Model 1 any service requirement that would exceed a certain capacity threshold is truncated; in Model 2…