06.11.2024, 14:00 - 16:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Graphon Models for Inhomogeneous Random Graphs
Olga Klopp (Paris), Nicolas Verzelen (Montpellier)
Olga Aryasova (Kyiv)
We consider an Euclidean space with semipermeable membranes on nonsmooth surfaces, for example, on the boundary of a wedge or a cone. We study the existence and uniqueness of a strong Markov process with continuous sample paths which behaves like a diffusion with given coefficients out of membranes and partially reflected on them. The question of hitting irregular points of the membranes (for instance, the vertex of a wedge) by the process plays a key role in our investigation. Besides, this problem is interesting itself.