Imre Bárány

1990 1999 2009

   Address:

Alfréd Rényi Mathematical Institute  of the
Hungarian Academy of Sciences
P.O. Box 127, 1364 Budapest,  Hungary





Notes for the Nachdiplom Lectures


Lattice points and random points in convex sets




Publications and online available papers




Some of my papers


On the variance of random polytopes, with Matthias Reitzner


Poisson polytopes, with Matthias Reitzner


Paths with no small angle, with Attila Pór and Pavel Valtr


Random points and lattice points in convex bodies


Extremal problems for convex lattice polytopes


Longest convex chains, with Gergely Ambrus


The probability that a convex body is lattice point free: a relative of Buffon's needle problem


On the power of linear dependencies


Quadratic lower bound for the number of colourful simplices, with Jiri Matousek


On maximal convex lattice polygons inscribed in a plane convex set, with Maria Prodromou


Central limit theorems for Gaussian polytopes, with Van H. Vu


Strictly convex drawings of planar graphs, with Guenter Rote


The randomized integer convex hull, with Jiri Matousek


Random points, convex bodies, lattices


0-1 polytopes with many facets, with Attila Pór


Sylvester's question: The probability that n points are in convex position


Simultaneous partitions of measures by k-fans, with Jiri Matousek


Equipartition of two measures by a 4-fan, with Jiri Matousek


The minimum area of convex lattce n-gons, with Tokushige Norihide


A fractional Helly theorem for convex lattice sets, with Jiri Matousek


Caratheodory theorem, colourful and applicable, with Shmuel Onn


The technique of M-regions and cap-coverings: a survey


A case when the union of polytopes is convex, with Komei Fukuda




List of publications