2–5 Jul 2024
Osijek
Europe/Zagreb timezone

Near-critical random graphs, multiplicative coalescents and their properties

3 Jul 2024, 08:30
50m
D1 (Faculty of Economics and Business, J. J. Strossmayer University of Osijek)

D1

Faculty of Economics and Business, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 7, Osijek
Plenary lecture PSF: Probability, Statistics and Financial Mathematics Plenary lecture

Speaker

Vlada Limić (CNRS and Universite de Strasbourg)

Description

A plunge into the world of large Erd\H{o}s-R\'enyi graphs, either regular or with non-trivial irregularities. The scaling limits of connected component masses are called the multiplicative coalescents. While a number of their properties have been known for 25 or more years, some interesting questions were answered only recently, and many others remain unsolved. The talk will attempt to give an overview of a few recent directions of research, which all stem from an excursion representation via ``simultaneous breadth-first walks''.

Primary author

Vlada Limić (CNRS and Universite de Strasbourg)

Presentation materials

There are no materials yet.