We are organizing a summer school about graph limits, groups and stochastic processes at the MTA Renyi Institute in Budapest. The school is aimed at PhD students and young researchers, but everyone is welcome to attend.



The topics contain dense and sparse graph convergence, the connections between large networks, group theory and ergodic theory, spectral theory of graphs and groups (in particular, the asymptotic behavior of eigenvectors, L² theory and spectral theory of random graphs) and applications of methods in statistical physics to graph theory (in particular, stochastic processes on graphs and their limits).

Schedule [pdf]

Videos of the lectures

Photos

Arrival: 22 June 2014, Sunday
Departure: 28 June 2014, Saturday

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Mini-courses

Charles Bordenave (Universite de Toulouse): Spectrum of random graphs

David Gamarnik (MIT): Power and limits of local algorithms for graphs

Gady Kozma (Weizmann Institute): The stirring process

Elon Lindenstrauss (Einstein Institute of Mathematics): Sum product phenomenon and random walks

Laszlo Lovasz (Eotvos Lorand University): Limits of dense graphs I

Balazs Szegedy (MTA Renyi Institute): Limits of dense graphs II

Andreas Thom (Universitat Leipzig): Graph limits and applications to group theory

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Application

List of participants

The deadline for application has passed.

The school covers full lodging and lunch for all accepted participants. There is funding available to cover the registration fee (280 USD/61 595 HUF). Please indicate in the application form if you wish to apply for this support. Participants can also apply for travel support. Note that funding available for travel support is limited and for overseas flights, there is a cap that will only be passed in exceptional cases.

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Organizers

Miklos Abert (MTA Renyi Institute)

Agnes Backhausz (MTA Renyi Institute/Eotvos Lorand University)

Laszlo Lovasz (Eotvos Lorand University)

Balazs Szegedy (MTA Renyi Institute)

Balint Virag (University of Toronto and MTA Renyi Institute)

The summer school is organized jointly by Eotvos Lorand University (Budapest) and MTA Renyi Institute.

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Contact

Please send all correspondence to: budapest.summer.school _at_ renyi.mta.hu

Mailing address: MTA Alfred Renyi Institute of Mathematics
Realtanoda u. 13-15, Budapest, Hungary, H-1053

Fax: +36 1 4838333

Local organizer: Agnes Backhausz (MTA Renyi Institute/Eotvos Lorand University, Budapest)

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Acknowledgement

The summer school is supported by the ERC Advanced Research Grant No. 227701., the MTA Lendulet Groups and Graphs Research Group, and the MTA Renyi Institute Lendulet Limits of Structures Research Group.