Nicholas Georgiou

activity

20092026

most citedNon-homogeneous random walks on a semi-infinite strip

8 citations · 31 across the 8 of their papers we have counts for

collaborators

Showing 2018 · math.PRShow all

2 papers · 2 filters

math.PR2018★ 2 cited

Markov chains with heavy-tailed increments and asymptotically zero drift

Nicholas Georgiou, Mikhail V. Menshikov, Dimitri Petritis +1

We study the recurrence/transience phase transition for Markov chains on $R_{+}$ , $R$ , and $R^{2}$ whose increments have heavy tails with exponent in $(1, 2)$ …

math.PR2018★ 2 cited

Invariance principle for non-homogeneous random walks

Nicholas Georgiou, Aleksandar Mijatović, Andrew R. Wade

We prove an invariance principle for a class of zero-drift spatially non-homogeneous random walks in $R^{d}$ , which may be recurrent in any dimension. The limit $\mathcal{X}…