46 citations · 153 across the 21 of their papers we have counts for
5 papers · 1 filter
Minimal topological actions do not determine the measurable orbit equivalence class
Gábor Elek, Tullio Ceccherini-Silberstein
We construct a minimal topological action of a non-amenable group on a Cantor set , which is non-uniquely ergodic and furthermore there exist ergodic invariant measures $μ…
The combinatorial cost
Gábor Elek
We study the combinatorial analogues of the classical invariants of measurable equivalence relations. We introduce the notion of cost and -invariants (the analogue of the first…
-spectral invariants and quasi-crystal graphs
Gábor Elek
Introducing and studying the pattern frequency algebra, we prove the analogue of Lück's approximation theorems on -spectral invariants in the case of aperiodic order. These re…
Aperiodic order, integrated density of states and the continuous algebras of John von Neumann
Gabor Elek
Lenz and Stollmann recently proved the existence of the integrated density of states in the sense of uniform convergence of the distributions for certain operators with aperiodic o…
Sofic groups and convolution operators
Gabor Elek
This paper has been withdrawn by the author. The conjecture follows from the finiteness of group von Neumann algebras.