7 citations · 7 across the 1 of their papers we have counts for
4 papers
Characterizations of the Cauchy distribution associated with integral transforms
Kazuki Okamura
We give two new simple characterizations of the Cauchy distribution by using the Möbius and Mellin transforms. They also yield characterizations of the circular Cauchy distribution…
An equivalence criterion for infinite products of Cauchy measures
Kazuki Okamura
We give an equivalence-singularity criterion for infinite products of Cauchy measures under simultaneous shifts of the location and scale parameters. Our result is an extension of…
Long time behavior of the volume of the Wiener sausage on Dirichlet spaces
Kazuki Okamura
In the present paper, we consider long time behaviors of the volume of the Wiener sausage on Dirichlet spaces. We focus on the volume of the Wiener sausage for diffusion processes…
Aftershocks and Omori's law in a modified Carlson-Langer model with nonlinear visco-elasticity
Hidetsugu Sakaguchi, Kazuki Okamura
A modified Carlson-Langer model for earthquakes is proposed, which includes nonlinear visco-elasticity. Several aftershocks are generated after the main shock owing to the damping…