YEP 2007(Young European Probabilists)
workshops 


Workshop on
"Random Graphs and Complex Networks"
March 19-23, 2007

EURANDOM, Eindhoven, The Netherlands

Programme &Abstracts| Participants |Registration | Practical Information | Pictures

SUMMARY

This workshop is the fourth in a successful series of YEP meetings at Eurandom in the years 2004-2006.

The research area of random graph started off with the classical paper by Erdős & Rényi  in 1959 and has since then developed into a very active field at the interface between discrete mathematics and probability. Typical results concern distributions of component sizes, distances between vertices and criteria for existence of a giant component; see Bollobás (2001) for a survey. During the last few years there has been a growing interest in the use of random graphs as models for various types of complex networks such as social contact structures, the internet and power grids; see e.g. Newman and the references therein. Many of these networks have turned out to have very similar properties. For instance many of them are small worlds, meaning roughly that there are short paths between vertices at the same time as there is a high local clustering of the edges. Also, their degree sequence typically obeys a power-law, that is, the number of vertices with degree k falls off as an inverse power of k.

Since Erdős-Rényi graphs fail to reflect the above properties of real networks, the use of random graphs in complex network modelling has given rise to a number of new graph models. Initially the focus was on small-world models; see e.g. Watts, while currently most work concern models with power law degree distributions, sometimes referred to as scale-free networks; see e.g. Barabási. To be able to better understand and predict the behavior of a real-life network, it is important to further develop these models and to complete the so far predominantly heuristic results on the graph properties in these models with rigorous mathematical work. Moreover, a major goal of network modelling is to understand the dynamics of various types of processes taking place on the networks. For instance, a proper understanding of how social structure affects the spread of information and of how the topology of the world wide web affects surfing and search engines would be extremely useful. To reach this goal, it is indeed necessary to formulate realistic models and to develop effective tools for analyzing them.

The workshop offers two mini-courses: one on preferential attachment models by Oliver Riordan (Cambridge University) and one on sexual networks by Fredrik Liljeros (Stockholm University). There will also be talks by some of the participants, as well as some talks by more senior people.

PROGRAMME / ABSTRACTS

MONDAY MARCH 19, 2007
9.00-9.10 Welcome  
9.10-10.10 Fredrik Liljeros Sexual networks
Break  
10.30-11.30 Fredrik Liljeros Sexual networks
11.35-12.35 Gerard Hooghiemstra Distances and diameter in the configuration model
Lunch  
14.30-15.00 Willemien Kets Network Games
15.00-15.30 Oscar Sandberg Double Clustering and Small World Navigation
Break  
16.00-16.30 Markus Heydenreich Critical percolation clusters on high-dimensional boxes
16.30-17.00 Mikael Huss Network analysis in biology - current topics and challenges
TUESDAY MARCH 20, 2007
09.00-10.00 Fredrik Liljeros Recent Progress in the Study of Large Empirical Contact Networks
Break  
10.30-11.30 Tom Britton Random graphs, epidemics and vaccination
11.35-12.35 Ronald Meester Percolation in the signal to interference ratio graph
Lunch  
14.30-15.30 Tom Snijders Statistical methods for social network dynamics
Break  
16.00-16.30 Petter Holme Two models of networking social agents
16.30-17.00 Andrew Wade Length of the random on-line nearest-neighbour graph
WEDNESDAY MARCH 21, 2007
9.00-10.00 Olivier Riordan The mathematics of the Barabási-Albert scale-free network I
Break  
10.30-11.30 Olivier Riordan The mathematics of the Barabási-Albert scale-free network II
11.30-12.00 Birgitte de Blasio The Yule process and frailty
12.00-12.30 Peter Moerters Large deviations for empirical measures of coloured random graphs
Lunch  
Free afternoon.  
18.00 h. dinner in restaurant "Listers", Kleine Berg 57h. Eindhoven, 040 - 2961370
THURSDAY MARCH 22, 2007
9.00-10.00 Olivier Riordan The mathematics of the Barabási-Albert scale-free network III
Break  
10.30-11.30 Olivier Riordan The mathematics of the Barabási-Albert scale-free network IV
11.35-12.35 Tatyana Turowa Random graphs with local and global connections
Lunch  
14.30-15.00 Henri van Esker

Universality for the distance in finite variance random graphs

15.00-15.30 Thomas Vallier Robustness of Preferential Attachment under Deletion of Edges
Break  
16.00-16.30 Pierluigi Contucci Phase Transitions in Social Sciences: Two Populations Mean Field Theory
16.30-17.00 t.b.a.  
FRIDAY MARCH 23, 2007
9.00-10.00 Olivier Riordan The mathematics of the Barabási-Albert scale-free network V
Break  
10.30-11.30 Olivier Riordan The mathematics of the Barabási-Albert scale-free network VI
11.35-12.35 Nelli Litvak On the relation between PageRank and in-degree in scale-free networks
Lunch  

REGISTRATION

There is no registration fee.

PLEASE REGISTER BY FILLING IN THE FORM

PRACTICAL INFORMATION

Conference Location

the workshop location is EURANDOM,  Den Dolech 2, 5612 AZ Eindhoven, Laplace Building, 1st floor, LG 1.105.

EURANDOM is located on the campus of Eindhoven University of Technology, in the 'Laplacegebouw' building' (LG on the map). The university is located at 10 minutes walking distance from Eindhoven railway station (take the exit north side and walk towards the tall building on the right with the sign TU/e).

Travel

For those arriving by plane, there is a convenient train connection between Amsterdam Schiphol airport and Eindhoven, with only one change at Duivendrecht. This trip will take about two hours. For more detailed information, please consult the NS travel information pages or see EURANDOM web page location. 

Many low cost carriers also fly to Eindhoven Airport. There is a bus connection to the Eindhoven central railway station from the airport. (Bus route number 401) For details on departure times consult http://www.9292ov.nl 

The University  can be reached easily by car from the highways leading to Eindhoven (for details, see our route descriptions or consult our map with highway connections

Hotel

For invitees EURANDOM made a preliminary group reservations in Hotel Benno*, Wilhelminaplein 9, 5611 HE Eindhoven, Tel. 00 31 40 2366070.
* you can have dinner in Hotel Benno with a discount of 10%.

Indicate the requested nights in the registration page.

Lunches/dinner

March 19-23 lunches are being organised; free of costs for all participants, if ordered on the registration form.

On Wednesday March 21 there will be a workshop dinner. For non-invitees an amount of 30 euro is requested, to be paid at arrival in cash (preferably exact amount in euros)

Contact

For more information please contact Mrs. Lucienne Coolen, workshop officer of  EURANDOM, at coolen@eurandom.tue.nl

ORGANISERS

Prof. Dr. Remco van der Hofstad, Technische Universiteit Eindhoven/EURANDOM (NL), rhofstad@win.tue.nl
Dr. Maria Deijfen, Stockholm University (SE),  mia@math.su.se

This workshop is sponsored by  

                       


YEP (Young European Probabilists) workshops 

    2004 --  2005  --  2006

 


Last modified: 26-03-10
Maintained by Lucienne Coolen