szegedy.balazs _at_ renyi _dot_ mta _dot_ hu
MTA Alfréd Rényi Institute of Mathematics
Reáltanoda utca 13-15.
Budapest, Hungary, H-1053
Research interest
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.
Recent work
- Higher order Fourier analysis: a theory of higher order structures in compact abelian groups, which
proves general inverse theorems and regularity lemmas for Gowers uniformity norms.
P. Candela, D. González-Sánchez, B. Szegedy. On nilspace systems and their morphisms. [arXiv:1807.11510]
P. Candela, B. Szegedy. Nilspace factors for general uniformity seminorms, cubic exchangeability and limits. [arXiv:1803.08758]
P. Candela, B. Szegedy, A continuous model for systems of complexity 2 on simple abelian groups. Journal d'Analyse Mathématique 135 (2018), no. 2., 437-471. [arXiv:1509.04485]
B. Szegedy, Limits of functions on groups. To appear in: Trans. Amer. Math. Soc. [arXiv:1502.07861]
- Limits of combinatorial structures: an analytic
approach that considers large structures as approximations of infinite analytic
objects and creates new connections between analysis, combinatorics, probability theory, group theory and ergodic theory.
P. Csikvári, B. Szegedy. On Sidorenko's conjecture for determinants and Gaussian Markov random fields. [arXiv:1801.08425]
D. Kunszenti-Kovacs, L. Lovasz, B. Szegedy. Measures on the square as sparse graph limits. [arXiv:1610.05719]
Á. 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]