s z e g e d y b _at_ gmail _dot_ com

MTA Alfréd Rényi Institute of Mathematics

Reáltanoda utca 13-15.

Budapest, Hungary, H-1053

My main research areas are combinatorics and group theory. At the moment, I am working in various topics related to limits of discrete structures. This field is connected to combinatorics, ergodic theory and probability theory.

- Limits of dense graph sequences, graphons as limits objects, graph homomorphisms, regularity lemma.

D. Kunszenti-Kovacs, L. Lovasz, B. Szegedy.**Multigraph limits, unbounded kernels, and Banach space decorated graphs.**[arXiv:1406.7846]

L. Lovasz, B. Szegedy.**The automorphism group of a graphon.**J. Algebra 421 (2015), 136-166. [arXiv:1406.4958]

H. Hatami, S. Janson, B. Szegedy,**Graph properties, graph limits and entropy**. [arxiv:1312.5626]

- Limits of sparse graph sequences, entropy methods, Sidorenko's conjecture.

A. Backhausz, B. Szegedy.**On the almost eigenvectors of random regular graphs.**[arXiv:1607.04785]

B. Szegedy.**Sparse graph limits, entropy maximization and transitive graphs.**[arXiv:1504.00858]

P. Candela, B. Szegedy.

B. Szegedy,

P. Candela, B. Szegedy, L. Vena,