**I giorni 7/8/9 Febbraio p.v. – ore 15:00-17:30 – Sala B, presso il
Dipartimento di Fisica, Cittadella Universitaria di Monserrato**

si terrà il seguente **ciclo di lezioni** su:

**“Spatial Networks”**

**tenuto dal prof. Marc Barthelemy**

Institut de Physique Th eorique, CEA, IPhT CNRS, URA 2306 F-91191

Gif-sur-Yvette France and Centre d’Analyse et de Math ematique Sociales (CAMS, UMR 8557

CNRS-EHESS) Ecole des Hautes Etudes en Sciences Sociales, 54 bd.

Raspail, F-75270 Paris Cedex 06, France.

**Abstract:**

Complex systems are very often organized under the form of networks

where nodes and edges are embedded in space. Transportation and

mobility networks, Internet, mobile phone networks, power grids,

social and contact networks, neural networks, are all examples where

space is relevant and where topology alone does not contain all the

information. Characterizing and understanding the structure and the

evolution of spatial networks is thus crucial for many different

fields ranging from urbanism to epidemiology. In this set of lectures

I will expose the current state of our understanding of how the

spatial constraints affect the structure and properties of these

networks. I will first review the most recent empirical observations

and then the most important models of spatial networks. If time

allows, I will also discuss various processes which take place on

these spatial networks, such as random walks, navigation, resilience,

and disease spread.

**Outline:**

I. Introduction: Space and networks

II. Empirical results

1.Transportation networks

2. Infrastructure networks

3. Mobility networks

III. Models of spatial networks

1.Geometric graphs

2.Spatial generalization of the Erdos-Renyi graphs

3.Spatial generalizations of the Watt-Strogatz small-world

4.Spatial generalizations of the preferential attachment model

5.Optimal networks

IV. Processes on spatial networks

1.Random walks

2.Navigating and searching spatial networks

3.Robustness and resilience

4.Disease spreading

**BIO:**

Marc Barthelemy is a former student of the Ecole Normale Superieure of

Paris. In 1992, he graduated at the University of Paris VI with a

thesis in theoretical physics titled “Random walks in random media”.

After his thesis, Marc Barthelemy focused on disordered systems and

their properties. In 1999, he visited Prof. Stanley at Boston

University and started to work on the properties of complex networks.

Since 1992, he has held a position at the CEA (Paris) where his

interests moved towards applications of statistical physics to complex

systems. In particular, he worked on complex networks, theoretical

epidemiology, and other problems in urban systems.

Tutti gli interessati sono invitati a partecipare.

Per informazioni: Alessandro Chessa

alessandro.chessa@dsf.unica.it