7 citations · 22 across the 17 of their papers we have counts for
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math.PR2016★ 4 cited
Asymptotic behaviour of a random walk killed on a finite set
Kohei Uchiyama
We study asymptotic behavior, for large time , of the transition probability of a two-dimensional random walk killed when entering into a non-empty finite subset . We show th…
math.PR2016
The transition density of Brownian motion killed on a bounded set
Kohei Uchiyama
We study the transition density of a standard two-dimensional Brownian motion killed when hitting a bounded Borel set . We derive the asymptotic form of the density, say $p^A_t(…
math.PR2016
One dimensional random walk killed on a finite set
Kohei Uchiyama
We study the transition probability, say , of a one-dimensional random walk on the integer lattice killed when entering into a non-empty finite set . The random walk…