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Convex cores of measures on R d.
We define the convex core of a finite Borel measure Q on R d as the intersection of all convex Borel sets C with Q(C)=Q(R d). It consists exactly of means of probability measures dominated by Q. Geometric and measure-theore...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On Erdős-Szekeres-type problems for k-convex point sets
that there are arbitrarily large 3-convex sets of n points in the plane in general position whose largest, there is a set S of n points in the plane in general position such that every 2-convexWe...
Pure mathematics
- 2019 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Lower bounds for weak epsilon-nets and stair-convexity
A set N SUBSET OF ? d is called a weak ?-net (with respect to convex sets) for a finite X SUBSET OF ? d if N intersects every convex set C with |X INTERSECTION C r GREATER-THAN OR EQUAL T...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Holes in 2-Convex Point Sets
2-convex point set of size n contains an Omega(log n)-hole. In comparisonLet S be a set of n points in the plane in general position (no three points than l connected components. A point set<...
Pure mathematics
- 2018 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
On stationary and determining sets for J-convex functions
We describe the relations of the class of stationery sets (resp. of determining sets) for Jensen convex functions R^n rightarrow R to the standard classes associated with such functions. We prove a condition suffic...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Rank 1 Convex Hulls of Isotropic Functions in Dimension 2 by 2.
Let fi be a rotationally invariant ( with respect to the proper orthogonal group ) function defined on the set M 2x2 af all 2 by 2 matrices. Based on conditions for the rank 1 convexity of fi in terms of signed invariants of A ( to ...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On Erdos-Szekeres-type problems for k-convex point sets
show that there are arbitrarily large 3-convex sets of n points in the planeWe study Erdos-Szekeres-type problems for k-convex point sets, a recently introduced notion that naturally extends the concept o...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Holes in 2-convex point sets
-convex point set of size n contains an Omega(log(n))-hole. In comparison, it is wellLet S be a set of n points in the plane in general position (no three points than l connected components. A poi...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On k-convex point sets
We extend the (recently introduced) notion of k-convexity of a two-dimensional subset of the Euclidean plane to finite point sets. A set of n points is considered k. As the main combinatorial result, we show that e...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Quasiconvex extreme points of convex sets.
If the quasiconvex hull of a compact set in $R^{mtimes n}$ is convex then also for that is in a special structure of quasiconvex extreme points of compact convex sets. In particular, weshow that compact
BA - Obecná matematika
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
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