miklos.abert at renyi.mta.hu

MTA Alfréd Rényi Institute of Mathematics
Reáltanoda utca 13-15.
H-1053 Budapest,
Hungary





Research interest

I am interested in measured and asymptotic group theory, in particular spectral theory of graphs and groups, Benjamini-Schramm convergence, graph polynomials, stochastic processes on groups, rank gradient, invariant random subgroups, homology growth, sofic entropy, cellular automata and locally symmetric spaces.

My talk 'Invariant random subgroups and their applications' given 28 March 2014 in Paris, at the Institute Henri Poincaré (Asymptotic properties of infinite groups): VIDEO and FILE



Recent work

M. Abért, A Spectral Strong Approximation theorem for measure presenving actions [PDF]

M. Abért, A. Thom and B. Virág, Benjamini-Schramm convergence and pointwise convergence of the spectral measure [PDF]

M. Abért, P. Csikvári and T. Hubai, Matching measure, Benjamini--Schramm convergence and the monomer-dimer free energy [PDF]

M. Abért, P. Csikvári, P. Frenkel and G. Kun, Matchings in Benjamini-Schramm convergent graph sequences [PDF]




Open questions

This is a list of questions that I am interested in [PDF]. Many of them belong to other people (when I think I know the source, I name it) and some are purely speculative. It may make sense to contact me before putting a lot of work in one of them as it may have been solved (last update: Nov 2, 2010). Good luck with them.



Events

Summer school and workshop on Graph limits, groups and stochastic processes, 23 June - 2 July 2014, Budapest (organized together with László Lovász, Balázs Szegedy and Bálint Virág)

Groups, Graphs and Stochastic Processes, 21-26 June 2015, Banff Research Center (organized together with Omer Angel and Bálint Virág)