On the range of the transient frog model on ℤ

DOI10.1017/apr.2017.3zbMath1425.60063arXiv1502.02738OpenAlexW2964263491MaRDI QIDQ5233170

Alexander Roitershtein, Steven Noren, Arka Prasanna Ghosh

Publication date: 16 September 2019

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02738

zbMATH Keywords

\(q\)-seriesfrog modelinteracting random walkrandom walks range

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (10)

A zero-one law for recurrence and transience of frog processes ⋮ On an epidemic model on finite graphs ⋮ The frog model on non-amenable trees ⋮ The frog model on trees with drift ⋮ The continuous-time frog model can spread arbitrarily fast ⋮ Recurrence and transience of frogs with drift on \(\mathbb{Z}^d\) ⋮ Frogs on trees? ⋮ Infection spread for the frog model on trees ⋮ Deviation bounds for the first passage time in the frog model ⋮ On the minimal drift for recurrence in the frog model on \(d\)-ary trees

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