3 papers
math.PR2025
Random walks with square-root boundaries: the case of exact boundaries
Denis Denisov, Alexander Sakhanenko, Sara Terveer +1
Let be a real valued random walk with i.i.d. increments which have zero mean and finite variance. We are interested in the asymptotic properties of the stopping time $T(g):=…
math.PR2020
A Central Limit Theorem for the mean starting hitting time for a random walk on a random graph
Matthias Löwe, Sara Terveer
We consider simple random walk on a realization of an Erdős-Rényi graph that is asymptotically almost surely (a.a.s.) connected. We show a Central Limit Theorem (CLT) for the avera…
math.PR2020
A Central Limit Theorem for incomplete U-statistics over triangular arrays
Matthias Löwe, Sara Terveer
We analyze the fluctuations of incomplete -statistics over a triangular array of independent random variables. We give criteria for a Central Limit Theorem (CLT, for short) to h…