205 citations · 615 across the 51 of their papers we have counts for
5 papers · 1 filter
On linear configurations in subsets of compact abelian groups, and invariant measurable hypergraphs
Pablo Candela, Balázs Szegedy, Lluís Vena
We prove an arithmetic removal result for all compact abelian groups, generalizing a finitary removal result of Král', Serra and the third author. To this end, we consider infinite…
The automorphism group of a graphon
László Lovász, Balázs Szegedy
We study the automorphism group of graphons (graph limits). We prove that after an appropriate "standardization" of the graphon, the automorphism group is compact. Furthermore, we…
Multigraph limits, unbounded kernels, and Banach space decorated graphs
Dávid Kunszenti-Kovács, László Lovász, Balázs Szegedy
We present a construction that allows us to define a limit object of Banach space decorated graph sequences in a generalized homomorphism density sense. This general functional ana…
An information theoretic approach to Sidorenko's conjecture
Balazs Szegedy
We investigate the famous conjecture by Erd\H os-Simonovits and Sidorenko using information theory. Our method gives a unified treatment for all known cases of the conjecture and i…
On large girth regular graphs and random processes on trees
Ágnes Backhausz, Balázs Szegedy
We study various classes of random processes defined on the regular tree that are invariant under the automorphism group of . Most important ones are factor of i.i.d. pr…