Christian Bey

activity

20062024

most citedOn three-point generalizations of Banach and Edelstein fixed point theorems

6 citations · 9 across the 4 of their papers we have counts for

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math.MG2010★ 1 cited

Notes on lattice points of zonotopes and lattice-face polytopes

Christian Bey, Martin Henk, Matthias Henze +1

Minkowski's second theorem on successive minima gives an upper bound on the volume of a convex body in terms of its successive minima. We study the problem to generalize Minkowski'…

math.MG2010

Description of polygonal regions by polynomials of bounded degree

Gennadiy Averkov, Christian Bey

We show that every (possibly unbounded) convex polygon $P$ in $R^{2}$ with $m$ edges can be represented by inequalities $p_{1} \geq 0, ..., p_{n} \geq 0,$ where the $p_{i}$ 's are products of a…

math.MG2006★ 2 cited

Notes on the roots of Ehrhart polynomials

Christian Bey, Martin Henk, Joerg M. Wills

We determine lattice polytopes of smallest volume with a given number of interior lattice points. We show that the Ehrhart polynomials of those with one interior lattice point have…