33 citations · 49 across the 15 of their papers we have counts for
19 papers
Smaller Gershgorin disks for multiple eigenvalues for complex matrices
Imre Bárány, Jozsef Solymosi
Extending an earlier result for real matrices we show that multiple eigenvalues of a complex matrix lie in a reduced Gershgorin disk. One consequence is a slightly better estimate…
Erdős-Szekeres theorem for -flats
Imre Bárány, Gil Kalai, Attila Pór
We extend the famous Erdős-Szekeres theorem to -flats in
The cocked hat
Imre Bárány, William Steiger, Sivan Toledo
We revisit the cocked hat -- an old problem from navigation -- and examine under what conditions its old solution is valid.
Random polytopes and the wet part for arbitrary probability distributions
Imre Bárány, Matthieu Fradelizi, Xavier Goaoc +2
We examine how the measure and the number of vertices of the convex hull of a random sample of points from an arbitrary probability measure in relates to the wet…
Almost similar configurations
Imre Bárány, Zoltán Füredi
Let denote the maximum number of triangles with angles between and in any -element planar set. Our main result is an exact formula for . We al…
Tverberg's theorem is 50 years old: a survey
Imre Bárány, Pablo Soberón
This survey presents an overview of the advances around Tverberg's theorem, focusing on the last two decades. We discuss the topological, linear-algebraic, and combinatorial aspect…