On recurrence and transience of growth models
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Publication:3750749
DOI10.2307/3214001zbMath0611.60084OpenAlexW2316070411MaRDI QIDQ3750749
Publication date: 1986
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3214001
Related Items (19)
Recurrence and Transience of Near-Critical Multivariate Growth Models: Criteria and Examples ⋮ Stability analysis of stochastic Ricker population model, ⋮ Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process ⋮ Branching processes in near-critical random environments ⋮ Branching processes. II ⋮ Slow recurrent regimes for a class of one-dimensional stochastic growth models ⋮ Drift criteria for persistence of discrete stochastic processes on the line ⋮ Nonlinear stochastic trends ⋮ Geometric growth for stochastic difference equations with application to branching populations ⋮ Potential analysis for positive recurrent Markov chains with asymptotically zero drift: power-type asymptotics ⋮ Asymptotic behaviour of critical controlled branching processes with random control functions ⋮ Asymptotic \(\Gamma\)-distribution for stochastic difference equations ⋮ Interacting growth processes and invariant percolation ⋮ Multitype population size-dependent branching processes with dependent offspring ⋮ Some Contributions to the Theory of Near-Critical Bisexual Branching Processes ⋮ Eaton's Markov chain, its conjugate partner and \(\mathcal P\)-admissibility ⋮ Conditions for the unlimited growth in multitype population size dependent Galton-Watson processes ⋮ On the large-time behaviour of the solution of a stochastic differential equation driven by a Poisson point process ⋮ Branching processes with dependence but homogeneous growth
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