G. Elek

activity

19982009

most citedLimits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach

46 citations · 153 across the 21 of their papers we have counts for

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3 papers · 1 filter

math.FA2009★ 3 cited

Sofic equivalence relations

Gábor Elek, Gábor Lippner

We introduce the notion of sofic measurable equivalence relations. Using them we prove that Connes' Embedding Conjecture as well as the Measurable Determinant Conjecture of Lück, S…

math.FA2006★ 5 cited

$L^{2}$ -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 $L^{2}$ -spectral invariants in the case of aperiodic order. These re…

math.FA2006

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This paper has been withdrawn by the author.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.

Sofic equivalence relations

L2-spectral invariants and quasi-crystal graphs

Sofic groups and convolution operators

$L^{2}$ -spectral invariants and quasi-crystal graphs