A zero-one law for recurrence and transience of frog processes
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Publication:2359743
DOI10.1007/s00440-016-0711-7zbMath1372.60047arXiv1508.01953OpenAlexW2160044234MaRDI QIDQ2359743
Elena Kosygina, Martin P. W. Zerner
Publication date: 22 June 2017
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.01953
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Processes in random environments (60K37) Zero-one laws (60F20)
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Stochastic orders and the frog model ⋮ Infinite rate symbiotic branching on the real line: the tired frogs model ⋮ On an epidemic model on finite graphs ⋮ The coverage ratio of the frog model on complete graphs ⋮ The frog model on trees with drift ⋮ Continuity for the asymptotic shape in the frog model with random initial configurations ⋮ 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 transience of frogs on Galton-Watson trees ⋮ A new upper bound for the critical probability of the frog model on homogeneous trees ⋮ First passage time of the frog model has a sublinear variance ⋮ The asymptotic shape theorem for the frog model on finitely generated abelian groups ⋮ COVER TIME FOR THE FROG MODEL ON TREES ⋮ On the minimal drift for recurrence in the frog model on \(d\)-ary trees
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