46 citations · 98 across the 11 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.SP2007★ 5 cited
L^2-spectral invariants and convergent sequences of finite graphs
Gabor Elek
Using the spectral theory of weakly convergent sequences of finite graphs, we prove the uniform existence of the integrated density of states for a large class of infinite graphs.
math.GR2007★ 5 cited
Non-abelian free groups admit non-essentially free actions on rooted trees
Miklos Abert, Gabor Elek
We show that every countable non-abelian free group admits a spherically transitive action on a rooted tree such that the action of on the boundary of is not essent…
math.CO2007★ 46 cited
Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach
Gabor Elek, Balazs Szegedy
We study the integral and measure theory of the ultraproduct of finite sets. As a main application we construct limit objects for hypergraph sequences. We give a new proof for the…