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4 papers · 1 filter
Local asymptotics for the time of first return to the origin of transient random walk
Ron Doney, Dmitry Korshunov
We consider a transient random walk on which is asymptotically stable, without centering, in a sense which allows different norming for each component. The paper is devoted t…
Branching random walk in Z^4 with branching at the origin only
Yueyun Hu, Vladimir Vatutin, Valentin Topchii
For the critical branching random walk in with branching at the origin only we find the asymptotic behavior of the probability of the event that there are particle…
Orthogonal series and limit theorems for canonical U- and V-statistics of stationary connected observations
I. S. Borisov, N. Volodko
The limit behavior is studied for the distributions of normalized U- and V-statistics of an arbitrary order with canonical (degenerate) kernels, based on samples of increasing size…
The Key Renewal Theorem for a Transient Markov Chain
Dmitry Korshunov
We consider a time-homogeneous Markov chain , , valued in . Suppose that this chain is transient, that is, generates a -finite renewal measure. We pro…