12 citations · 19 across the 4 of their papers we have counts for
8 papers
Steady states of lattice population models with immigration
Elena Chernousova, Yaqin Feng, Stanislav Molchanov +1
We consider the time evolution of the lattice subcritical Galton-Watson model with immigration. We prove Carleman type estimation for the cumulants in the simple case (binary split…
Random walk in mixed random environment without uniform ellipticity
Ostap Hryniv, Mikhail V. Menshikov, Andrew R. Wade
We study a random walk in random environment on the non-negative integers. The random environment is not homogeneous in law, but is a mixture of two kinds of site, one in asymptoti…
Excursions and path functionals for stochastic processes with asymptotically zero drifts
Ostap Hryniv, Mikhail V. Menshikov, Andrew R. Wade
We study discrete-time stochastic processes on with asymptotically zero mean drifts. Specifically, we consider the critical (Lamperti-type) situation in which…
Non-homogeneous random walks with non-integrable increments and heavy-tailed random walks on strips
Ostap Hryniv, Iain M. MacPhee, Mikhail V. Menshikov +1
We study asymptotic properties of spatially non-homogeneous random walks with non-integrable increments, including transience, almost-sure bounds, and existence and non-existence o…
Long time behaviour in a model of microtubule growth
O. Hryniv, M. Menshikov
We study a continuous time stochastic process on strings made of two types of particles, whose dynamics mimics the behaviour of microtubules in a living cell; namely, the strings e…
Some Rigorous Results on Semiflexible Polymers. I. Free and confined polymers
Ostap Hryniv, Yvan Velenik
We introduce a class of models of semiflexible polymers. The latter are characterized by a strong rigidity, the correlation length associated to the gradient-gradient correlations,…