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)
Sergei Fedotov, University of Manchester
The talk will be concerned with time-fractional master equations with random transition probabilities describing a heterogeneous population of random walkers. This formulation leads to an effective underlying random walk that demonstrates ensemble self-reinforcement. The heterogeneity of the population gives rise to an underlying random walk with strong memory for which transition probabilities increase with the number of preceding steps (self-reinforcement). We discuss the implication of ensemble self-reinforcement on the first passage time statistics and anomalous exponents.