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)
Anna Muranova (University of Warmia and Mazury in Olsztyn)
Abstract: In this talk we consider graphs, whose weights belong to an ordered field. It is known, that in the case of real weights every weighted graph defines a Markov chain, whose states are vertices of the graph. Moreover, a type of state (recurrent or transient) in the Markov chain is closely related to a capacity of the vertex. We show, how the corresponding Markov chain can be defined in case of graphs with weight from non-Archimedean ordered field. Then we discuss the possibilities to relate a type of state in the Markov chain with the non-Archimedean capacity of the vertex in the graph.