Anomalous recurrence properties of many-dimensional zero-drift random walks
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Publication:5197398
DOI10.1017/apr.2016.44zbMath1426.60095arXiv1506.08541OpenAlexW826409250MaRDI QIDQ5197398
Andrew R. Wade, Aleksandar Mijatović, Nicholas Georgiou, Mikhail V. Menshikov
Publication date: 23 September 2019
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.08541
Martingales with discrete parameter (60G42) Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
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Anomalous recurrence of Markov chains on negatively curved manifolds ⋮ Invariance principle for non-homogeneous random walks ⋮ A radial invariance principle for non-homogeneous random walks ⋮ Cutpoints of non-homogeneous random walks ⋮ Upper estimates for inhomogeneous random walks confined to the positive orthant ⋮ Markov chains with heavy-tailed increments and asymptotically zero drift ⋮ Exploring the Gillis model: a discrete approach to diffusion in logarithmic potentials
Cites Work
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- Criteria for the recurrence or transience of stochastic process. I
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