2 citations · 3 across the 3 of their papers we have counts for
5 papers
Self-similar solutions of kinetic-type equations: the boundary case
Kamil Bogus, Dariusz Buraczewski, Alexander Marynych
For a time dependent family of probability measures we consider a kinetic-type evolution equation where $\widehat…
Asymptotic behaviour of the Bessel heat kernels
Kamil Bogus
We consider Dirichlet heat kernel for the Bessel differential operator , , in half-line , $…
Sharp estimates of Green function of hyperbolic Brownian Motion
Kamil Bogus, Tomasz Byczkowski, Jacek Malecki
The main objective of the work is to provide sharp two-sided estimates of -Green function of hyperbolic Brownian motion of a half-space. We strongly rely on recent results obtai…
Heat kernel estimates for the Bessel differential operator in half-line
Kamil Bogus, Jacek Malecki
In the paper we consider the Bessel differential operator L^(μ)=\dfrac{d^2}{dx^2}+\dfrac{2μ+1}{x}\dfrac{d}{dx} in half-line (a,\infty), a>0, and its Dirichlet heat kernel p_a^(μ)(t…
Sharp estimates of transition probability density for Bessel process in half-line
Kamil Bogus, Jacek Malecki
In this paper we study the Bessel process R_t^{(μ)} with index μ\neq 0 starting from x>0 and killed when it reaches a positive level a, where x>a>0. We provide sharp estimates of t…