M. Olszewski

collaborators

3 papers

math.MG2021

Good labeling property of simple nested fractals

Mikołaj Nieradko, Mariusz Olszewski

We show various criteria to verify if a given nested fractal has a good labeling property, inter alia we present a characterization of GLP for fractals with an odd number of essent…

math.PR2018

Estimates of the transition densities for the reflected Brownian motion on simple nested fractals

Mariusz Olszewski

We give sharp two-sided estimates for the functions $g_{M} (t, x, y)$ and $g_{M} (t, x, y) - g (t, x, y)$ , where $g_{M} (t, x, y)$ are the transition probability densities of the reflected Brownian mo…

math.PR2018

Reflected Brownian motion on simple nested fractals

Kamil Kaleta, Mariusz Olszewski, Katarzyna Pietruska-Pałuba

We prove the existence of the reflected diffusion on a complex of an arbitrary size for a large class of planar simple nested fractals. Such a process is obtained as a folding proj…