The simple harmonic urn

DOI10.1214/10-AOP605zbMath1262.60070arXiv0911.0321MaRDI QIDQ653300

Edward Crane, Stanislav Volkov, Nicholas Georgiou, Robert J. Waters, Andrew R. Wade

Publication date: 9 January 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0321

zbMATH Keywords

Bessel processcouplingEulerian numbersoriented percolationurn modelrecurrence classificationtwo-dimensional linear birth and death processuniform renewal process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Renewal theory (60K05)

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MATRIX-MFO tandem workshop: Stochastic reinforcement processes and graphs. Abstracts from the MATRIX-MFO tandem workshop held March 5--10, 2023 ⋮ Excursions and path functionals for stochastic processes with asymptotically zero drifts ⋮ Linear de-preferential urn models ⋮ Linear competition processes and generalized Pólya urns with removals ⋮ Impatient random walk ⋮ A new approach to Pólya urn schemes and its infinite color generalization ⋮ Limiting Distributions for a Class Of Diminishing Urn Models

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