3 citations · 3 across the 5 of their papers we have counts for
10 papers
The two-sided exit problem for a random walk on and having infinite variance II
Kohei Uchiyama
Let be a distribution function on the integer lattice and the random walk with step distribution . Suppose is oscillatory and denote by $U_{\rm a}…
A renewal theorem for relatively stable variables
Kohei Uchiyama
Let be a relatively stable probability distribution on the whole real line and the random walk started at the origin with step distribution . We obtain an exact…
Scaling limits of random walk bridges conditioned to avoid a finite set
Kohei Uchiyama
This paper concerns a scaling limit of a one-dimensional random walk started from on the integer lattice conditioned to avoid a non-empty finite set , the random wal…
Asymptotically stable random walks of index killed on a finite set
Kohei Uchiyama
For a random walk on the integer lattice that is attracted to a strictly stable process with index we obtain the asymptotic form of the transition probab…
Recurrent random walks on with infinite variance: transition probabilities of them killed on a finite set
Kohei Uchiyama
In this paper we consider an irreducible random walk on the integer lattice that is in the domain of normal attraction of a strictly stable process with index $α\in (1…
The potential function and ladder variables of a recurrent random walk on with infinite variance
Kohei Uchiyama
We consider a recurrent random walk of i.i.d. increments on the one-dimensional integer lattice and obtain a formula relating the hitting distribution of a half-line with the poten…