By Gabriel Cwilich, Yeshiva University, New York, USA
 
In this series of three lectures I will cover some basic concepts of networks’ theory:   Their different metrics and measures at the local level and their large structure, and the most common mathematical techniques to study them.
 
We will discuss theoretical models of networks (Poissonian, power-law distributions, configuration models, small-world model) and of network formation (including the Barabasi-Albert model of preferential attachment); and finally we will discuss some processes in networks (percolation and network resilience and (time permitting) models of spreads of diseases.
 
3 lectures of 1 hour:
3 April: 12h00
5 April: 12h00
6 April: 11h00