AbstractWe study the problem of discrepancy of finite point sets in the unit square with respect to convex polygons, when the directions of the edges are fixed, when the number of edges is bounded, as well as when no such restrictions are imposed. In all three cases, we obtain estimates for the supremum norm that are very close to best possible
The discrepancy | t P ∩ Z^d | - lambda (P) t^d is studied as a function of the real variable t>1, wh...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
AbstractFor a finite set U of directions in the Euclidean plane, a convex non-degenerate polygon P i...
We study the problem of discrepancy of finite point sets in the unit square with respect to convex p...
AbstractWe study the problem of discrepancy of finite point sets in the unit square with respect to ...
Master of ScienceDepartment of MathematicsCraig SpencerThis paper introduces the basic elements of g...
Abstract. We consider planar curved strictly convex domains with no or very weak smoothness assumpti...
The discrepancy of a set-system is the minimum number d for which the vertices can be 2-coloured red...
Let R be a set of red points and B a set of blue points on the plane. In this paper we introduce a n...
discrepancy in numerical analysis and statistics Josef Dick∗ In this paper we discuss various connec...
We show that the minimum number of distinct edge-directions of a convex polytope with n vertices in ...
For A, a finite set of points in Rd , let ∆(A) denote the spread of A and be equal to the ratio of t...
We consider the problem of projecting a point in a polyhedral set onto the boundary of the set using...
Abstract The Minkowski condition for convex polytopes is equivalent to the divergence theorem of cla...
The paper deals with the following question: Among the convex plane sets of fixed isoperimetric defi...
The discrepancy | t P ∩ Z^d | - lambda (P) t^d is studied as a function of the real variable t>1, wh...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
AbstractFor a finite set U of directions in the Euclidean plane, a convex non-degenerate polygon P i...
We study the problem of discrepancy of finite point sets in the unit square with respect to convex p...
AbstractWe study the problem of discrepancy of finite point sets in the unit square with respect to ...
Master of ScienceDepartment of MathematicsCraig SpencerThis paper introduces the basic elements of g...
Abstract. We consider planar curved strictly convex domains with no or very weak smoothness assumpti...
The discrepancy of a set-system is the minimum number d for which the vertices can be 2-coloured red...
Let R be a set of red points and B a set of blue points on the plane. In this paper we introduce a n...
discrepancy in numerical analysis and statistics Josef Dick∗ In this paper we discuss various connec...
We show that the minimum number of distinct edge-directions of a convex polytope with n vertices in ...
For A, a finite set of points in Rd , let ∆(A) denote the spread of A and be equal to the ratio of t...
We consider the problem of projecting a point in a polyhedral set onto the boundary of the set using...
Abstract The Minkowski condition for convex polytopes is equivalent to the divergence theorem of cla...
The paper deals with the following question: Among the convex plane sets of fixed isoperimetric defi...
The discrepancy | t P ∩ Z^d | - lambda (P) t^d is studied as a function of the real variable t>1, wh...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
AbstractFor a finite set U of directions in the Euclidean plane, a convex non-degenerate polygon P i...
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