An Application of the Renewal Theoretic Selection Principle: The First Divisible Sum.
An asymptotic expansion for the discrete harmonic potential.
An asymptotic expansion for the distribution of the supremum of a random walk
Let be a random walk drifting to -∞. We obtain an asymptotic expansion for the distribution of the supremum of which takes into account the influence of the roots of the equation being the underlying distribution. An estimate, of considerable generality, is given for the remainder term by means of submultiplicative weight functions. A similar problem for the stationary distribution of an oscillating random walk is also considered. The proofs rely on two general theorems for Laplace transforms....
An Edgeworth expansion for a sum of m-dependent random variables.
An extension of Mineka's coupling inequality.
An extremal problem related to probability.
An Improved General Stochastic Inequality
An integro-local theorem applicable on the whole half-axis to the sums of random variables with regularly varying distributions.
Analysis of the asymmetrical shortest two-server queueing model.
Anomalous heat-kernel decay for random walk among bounded random conductances
We consider the nearest-neighbor simple random walk on ℤd, d≥2, driven by a field of bounded random conductances ωxy∈[0, 1]. The conductance law is i.i.d. subject to the condition that the probability of ωxy>0 exceeds the threshold for bond percolation on ℤd. For environments in which the origin is connected to infinity by bonds with positive conductances, we study the decay of the 2n-step return probability . We prove that is bounded by a random constant timesn−d/2 in d=2, 3, while it...
Aperiodische Wahrscheinlichkeitsmaße auf topologischen Gruppen.
Approximation of convolutions by accompanying laws without centering.
Approximation of Lévy-Feller diffusion by random walk.
Asymptotic analysis for random walks with nonidentically distributed jumps having finite variance.
Asymptotic behavior of a stochastic combustion growth process
We study a continuous time growth process on the -dimensional hypercubic lattice , which admits a phenomenological interpretation as the combustion reaction , where represents heat particles and inert particles. This process can be described as an interacting particle system in the following way: at time 0 a simple symmetric continuous time random walk of total jump rate one begins to move from the origin of the hypercubic lattice; then, as soon as any random walk visits a site previously...
Asymptotic behaviour of the simple random walk on the 2-dimensional comb.
Asymptotic direction for random walks in random environments
Asymptotic expansions for the distribution of the crossing number of a strip by a Markov-modulated random walk.
Asymptotic expansions for the distribution of the crossing number of a strip by sample paths of a random walk.
Asymptotic results for super-Brownian motions and semilinear differential equations.