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20172020
most citedEinstein relation for random walk in a one-dimensional percolation model

2 citations · 2 across the 2 of their papers we have counts for

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math.PR2020

A fundamental problem of hypothesis testing with finite inventory in e-commerce

Dennis Bohle, Alexander Marynych, Matthias Meiners

In this paper, we draw attention to a problem that is often overlooked or ignored by companies practicing hypothesis testing (A/B testing) in online environments. We show that cond…

math.PR2019

Solutions to kinetic-type evolution equations: beyond the boundary case

Dariusz Buraczewski, Konrad Kolesko, Matthias Meiners

We study the asymptotic behavior as of a time-dependent family of probability measures on solving the kinetic-type evolution equation…

math.PR20182 cited

Einstein relation for random walk in a one-dimensional percolation model

Nina Gantert, Matthias Meiners, Sebastian Müller

We consider random walks on the infinite cluster of a conditional bond percolation model on the infinite ladder graph. In a companion paper, we have shown that if the random walk i…

math.PR2018

The speed of critically biased random walk in a one-dimensional percolation model

Jan-Erik Lübbers, Matthias Meiners

We consider biased random walks in a one-dimensional percolation model. This model goes back to Axelson-Fisk and Häggström and exhibits the same phase transition as biased random w…

math.PR2018

Fluctuations of Biggins' martingales at complex parameters

Alexander Iksanov, Konrad Kolesko, Matthias Meiners

The long-term behavior of a supercritical branching random walk can be described and analyzed with the help of Biggins' martingales, parametrized by real or complex numbers. The st…

math.PR2017

Stable-like fluctuations of Biggins' martingales

Alexander Iksanov, Konrad Kolesko, Matthias Meiners

Let be Biggins' martingale associated with a supercritical branching random walk, and let be its almost sure limit. Under a natural condition…