QLS Seminar - Today, 8 August at 14:30am - "The leading eigenpair of sparse directed networks" by Fernando Metz, Federal University of Rio Grande do Sul

[Quantitative Life Sciences]

Dear All,

Today, 8 August at 14:30 CET, Fernando Metz (Federal University of Rio 
Grande do Sul) will give a seminar titled:

*The leading eigenpair of sparse directed networks
*

_Abstract:_

  Understanding the relationship between the structure of sparse random 
networks and their spectra is one of the central and long-standing focus 
of network theory. Spectral properties of networks determine the 
performance of algorithms, phase transitions, and the linear stability 
of complex biological systems, such as neural networks and ecosystems. 
In this talk, I will present simple analytic results for the leading 
eigenvalue of directed random
networks and for the statistics of the corresponding leading 
eigenvector. Specifically, the leading eigenvalue undergoes a 
gap-gapless transition as a function of the network parameters, while 
the leading eigenvector may become localized. These results provide a 
clear understanding of the impact of the network structure on the 
leading eigenpair of directed networks, which is relevant for 
characterizing the phase diagram of nonlinear complex systems with 
sparse interactions. Finally, I will show that even in highly connected 
networks, moderate degree fluctuations can lead to a breakdown of 
Gaussian random-matrix universality.

_
The seminar will take place in the *Common area*, Ex SISSA building, 
Second floor, via Beirut 2_
__
You are all most welcome to attend!

Best regards,
Erica

Erica Sarnataro
Group Secretary
Quantitative Life Sciences
The Abdus Salam International Centre for Theoretical Physics (ICTP)
Trieste, Italy
Tel. +39-040-2240623
www.ictp.it/research/qls.aspx
e-mail: qls at ictp.it
<https://www.ictp.it/home/ictps-60th-anniversary>