21 citations · 65 across the 14 of their papers we have counts for
14 papers
Recurrence and transience of contractive autoregressive processes and related Markov chains
Martin P. W. Zerner
We characterize recurrence and transience of nonnegative multivariate autoregressive processes of order one with random contractive coefficient matrix, of subcritical multitype Gal…
A zero-one law for recurrence and transience of frog processes
Elena Kosygina, Martin P. W. Zerner
We provide sufficient conditions for the validity of a dichotomy, i.e. zero-one law, between recurrence and transience of general frog models. In particular, the results cover frog…
Excursions of excited random walks on integers
Elena Kosygina, Martin P. W. Zerner
Several phase transitions for excited random walks on the integers are known to be characterized by a certain drift parameter delta. For recurrence/transience the critical threshol…
Excited random walks: results, methods, open problems
Elena Kosygina, Martin P. W. Zerner
We consider a class of self-interacting random walks in deterministic or random environments, known as excited random walks or cookie walks, on the d-dimensional integer lattice. T…
Interpolation percolation
Martin P. W. Zerner
Let X be a countably infinite set of real numbers and let Y_x, x \in X, be an independent family of stationary random subsets of the real numbers, e.g. homogeneous Poisson point pr…
Lyapunov exponents of Green's functions for random potentials tending to zero
Elena Kosygina, Thomas S. Mountford, Martin P. W. Zerner
We consider quenched and annealed Lyapunov exponents for the Green's function of , where the potentials , are i.i.d. nonnegative random variables and i…