10 citations · 10 across the 3 of their papers we have counts for
3 papers
Level Crossing Probabilities II: Polygonal Recurrence of Multidimensional Random Walks
Rainer Siegmund-Schultze, Heinrich von Weizsaecker
In part I (math.PR/0406392) we proved for an arbitrary one-dimensional random walk with independent increments that the probability of crossing a level at a given time n is of the…
Level Crossing Probabilities I: One-dimensional Random Walks and Symmetrization
Rainer Siegmund-Schultze, Heinrich von Weizsaecker
We prove for an arbitrary one-dimensional random walk with independent increments that the probability of crossing a level at a given time n has the order of square root of n. Mome…
Chained Typical Subspaces - a Quantum Version of Breiman's Theorem
Igor Bjelakovic, Tyll Krueger, Rainer Siegmund-Schultze +1
We give an equivalent finitary reformulation of the classical Shannon-McMillan-Breiman theorem which has an immediate translation to the case of ergodic quantum lattice systems. Th…