Aug

26

Fri

Speaker: Pavel Exner (Czech Technical University)

Title: Quantum mechanics on metric graphs:what we can learn from it?

Sep

16

Fri

Please join us for a colloquium presentation this Friday (09/16) at 3:30pm in Keller 302.

The speaker will be our new colleague Chuang Xu. Please find the title and abstract below.

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Title: Mean field limit of heterogeneous networks of higher order

interactions

Abstract: Networks are widely used in modelling science phenomena

(chemical reaction networks, brain networks, epidemic networks,

ecological networks, etc.). Almost all networks in nature are

heterogeneous. Such heterogeneity together with the huge size of the

network makes it challenging to study the dynamics of these networks

analytically or numerically. It is well known that network of higher

order interactions (H.O.I.) can invoke new dynamics. In this talk, I

will briefly introduce a recent work on the mean field limit of

heterogeneous networks of H.O.I.. Hypergraphs are generally used to

capture the underlying graphical structure of these networks. I will

first review the literature and the concepts of hypergraphs and graph

limits, and explain the main difficulty. Then I will introduce our work

on the mean field limit of heterogeneous networks, by introducing limits

of hypergraphs. Finally, I will mention some applications in physics,

epidemiology and ecology. This is a joint work with Christian Kuehn.

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## University of Hawaiʻi at Mānoa