Lezing
LCN2 Seminar juni 2022
- Datum
- vrijdag 24 juni 2022
- Tijd
- Locatie
- Snellius
- Zaal
- Room 407-409
55th LCN2 seminar
Speaker: Subodh Patil (Lorentz Institute for Theoretical Physics, Leiden University)
Title: Phases of small worlds - a mean field approach
Abstract: A network is said to have the properties of a small world if a suitably defined average distance between any two nodes is proportional to the logarithm of the number of nodes. In this talk, we present a novel analytic derivation of the small-world properties of Erdös-Renyi networks as well as a two-family stochastic block model that employs a mean field approximation not premised on any underlying network regularity. When applied to the two-family stochastic block model, our mean field approximation maps onto a spin chain combinatorial problem, and in principle extends to more general realizations of network disorder. We aim to conclude with a discussion of possible future directions and applications.
Afterwards there will be drink in the Foobar.