5 citations · 10 across the 10 of their papers we have counts for
10 papers
Branching random walks and Minkowski sum of random walks
Amine Asselah, Izumi Okada, Bruno Schapira +1
We show that the range of a critical branching random walk conditioned to survive forever and the Minkowski sum of two independent simple random walk ranges are intersection-equiva…
Deviations of the intersection of Brownian Motions in dimension four with general kernel
Arka Adhikari, Izumi Okada
In this paper, we find a natural four dimensional analog of the moderate deviation results of Chen (2004) for the mutual intersection of two independent Brownian motions and $B…
Capacity of the range of random walk: The law of the iterated logarithm
Amir Dembo, Izumi Okada
We establish both the and the law of the iterated logarithm (LIL), for the capacity of the range of a simple random walk in any dimension . While for $d…
Isolated singularities in the heat equation behaving like fractional Brownian motions
Mikihiro Fujii, Izumi Okada, Eiji Yanagida
We consider solutions of the linear heat equation in with isolated singularities. It is assumed that the position of a singular point depends on time and is Hölder c…
Topics and problems on favorite sites of random walks
Izumi Okada
In this article, we study special points of a simple random walk and a Gaussian free field, such as (nearly) favorite points, late points and high points. In section , we extend…
Geometric structures of late points of a two-dimensional simple random walk
Izumi Okada
We consider the problem, as suggested by Dembo (, ), of late points of a simple random walk in two dimensions. It has been shown that the exponents for the numbers of p…
Exponents for the number of pairs of -favorite points of simple random walk in
Izumi Okada
We investigate a problem suggested by Dembo, Peres, Rosen, and Zeitouni, which states that the growth exponent of favorite points associated with a simple random walk in ${\mathbb…
Frequently visited sites of the inner boundary of simple random walk range
Izumi Okada
This paper considers the question: how many times does a simple random walk revisit the most frequently visited site among the inner boundary points? It is known that in ${\mathbb{…
Last zero time or Maximum time of the winding number of Brownian motions
Izumi Okada
In this paper we consider the winding number, , of planar Brownian motion and study asymptotic behavior of the process of the maximum time, the time when attains the m…
The inner boundary of random walk range
Izumi Okada
In this paper, we deal with the inner boundary of random walk range, that is, the set of those points in a random walk range which have at least one neighbor site outside the range…