Polling systems with parameter regeneration, the general case.
(2008)
Journal Article
MacPhee, I., Menshikov, M., Petritis, D., & Popov, S. (2008). Polling systems with parameter regeneration, the general case. Annals of Applied Probability, 18(6), https://doi.org/10.1214/08-aap519
Outputs (4)
Urn-related random walk with drift $\rho x^\alpha/t^\beta$ (2008)
Journal Article
Menshikov, M., & Volkov, S. (2008). Urn-related random walk with drift $\rho x^\alpha/t^\beta$. Electronic Journal of Probability, 13, 944-960. https://doi.org/10.1214/ejp.v13-508
Logarithmic speeds for one-dimensional perturbed random walks in random environments (2008)
Journal Article
Menshikov, M., & Wade, A. R. (2008). Logarithmic speeds for one-dimensional perturbed random walks in random environments. Stochastic Processes and their Applications, 118(3), 389-416. https://doi.org/10.1016/j.spa.2007.04.011We study the random walk in a random environment on Z+={0,1,2,…}, where the environment is subject to a vanishing (random) perturbation. The two particular cases that we consider are: (i) a random walk in a random environment perturbed from Sinai’s r... Read More about Logarithmic speeds for one-dimensional perturbed random walks in random environments.
Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains (2008)
Journal Article
Menshikov, M., Vachkovskaia, M., & Wade, A. (2008). Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains. Journal of Statistical Physics, 132(6), 1097-1133. https://doi.org/10.1007/s10955-008-9578-zWe study stochastic billiards in infinite planar domains with curvilinear boundaries: that is, piecewise deterministic motion with randomness introduced via random reflections at the domain boundary. Physical motivation for the process originates wit... Read More about Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains.