Dimitrios Betsakos

activity

20202022

collaborators

3 papers

math.CA2022

Temperature on rods with Robin boundary conditions

Dimitrios Betsakos, Alexander Yu. Solynin

We consider solutions $u_{f}$ to the one-dimensional Robin problem with the heat source $f \in L^{1} [- π, π]$ and Robin parameter $α > 0$ . For given $m$ , $M$ , and $s$ , $0 \leq m < s < M$ , we iden…

math.PR2021

On the duration of stays of Brownian motion in domains in Euclidean space

Dimitrios Betsakos, Maher Boudabra, Greg Markowsky

Let $T_{D}$ denote the first exit time of a Brownian motion from a domain $D$ in $R^{n}$ . Given domains $U, W \subseteq R^{n}$ containing the origin, we investigate th…

math.PR2020

On the probability of fast exits and long stays of planar Brownian motion in simply connected domains

Dimitrios Betsakos, Maher Boudabra, Greg Markowsky

Let $T^{D}$ denote the first exit time of a planar Brownian motion from a domain $D$ . Given two simply connected planar domains $U,W \neq \SC$ containing $0$ , we investigate the case…