[CvGmt News] Seminario di Matteo Tanzi (25/06/2019, ore 14:30)

[Alfonso Sorrentino]

 SEMINARIO DI EQUAZIONI DIFFERENZIALI
Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"



Tuesday 25 June 2019, 14:30 Aula Dal Passo

Speaker: Matteo Tanzi (University of Victoria, Canada)


Title: Heterogeneously Coupled Maps: Rigorous Mean Field Reduction and
Dynamics Reconstruction


Abstract: A graph with heterogeneous degrees has most of its nodes making a
small number of connections, while the remaining nodes, called hubs, have
very high degree. This type of graph is ubiquitously found in models of
natural and artificial systems made of interacting components such as,
among others, neuronal networks, gene-regulatory networks, and power grids.
I will report results addressing the ergodic theoretical properties of
uniformly expanding maps coupled on such graphs, focusing the attention on
the case where the number of nodes in the graph is very large. The results
justify the emergence of macroscopic behaviour such as coherence of
dynamics among hubs with the same number of connections. They also suggest
an algorithm to reconstruct the network structure and dynamical features
from observations of the dynamics at every node. Tested on computer
simulations, the algorithm is able to effectively recover the degree
distribution of the network, community structures, local dynamics and
effective coupling.



Website: http://www.mat.uniroma2.it/~sorrenti/SeminarioED.html




-- 
Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"
Via della Ricerca Scientifica 1
00133 Rome (Italy)

Phone: +39 06 72594663
Fax:      +39 06 72594699
Web page: http://www.mat.uniroma2.it/~sorrenti
Email: sorrentino at mat.uniroma2.it
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://cvgmt.sns.it/pipermail/news/attachments/20190617/3c35705c/attachment.html>