A note on domino shuffling.
A note on how Rényi entropy can create a spectrum of probabilistic merging operators
In this paper we present a result that relates merging of closed convex sets of discrete probability functions respectively by the squared Euclidean distance and the Kullback-Leibler divergence, using an inspiration from the Rényi entropy. While selecting the probability function with the highest Shannon entropy appears to be a convincingly justified way of representing a closed convex set of probability functions, the discussion on how to represent several closed convex sets of probability functions...
A note on the Lawrence-Krammer-Bigelow representation.
A note on the realizaiton of distances within sets in euclidean space.
A note on the ten-neighbour packings of equal balls
A point set everywhere dense in the plane.
A reciprocity theorem for domino tilings.
A Rédei type factorization result for a special 2-group.
A Reduction of Lattice Tiling by Translates of a Cubical Cluster.
A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.The Weyl group W(E8) acts on the con guration space of systems of labelled eight lines on a real projective plane. With a system of eight lines with a certain condition, a diagram consisting of ten roots of the root system of type E8 is associated. We have already shown the existence of a W(E8)-equivariant map of the totality of such diagrams to the set of systems of...
A remark about the directed line-elements in the plane
A Remark to the Paper of H. Hadwiger "Überdeckung des Raumes durch translationsgleiche Punktmengen und Nachbarnzahl".
A rough curvature-dimension condition for metric measure spaces
We introduce and study a rough (approximate) curvature-dimension condition for metric measure spaces, applicable especially in the framework of discrete spaces and graphs. This condition extends the one introduced by Karl-Theodor Sturm, in his 2006 article On the geometry of metric measure spaces II, to a larger class of (possibly non-geodesic) metric measure spaces. The rough curvature-dimension condition is stable under an appropriate notion of convergence, and stable under discretizations as...
A short proof of rigidity of convex polytopes.
A Simple and Relatively Efficient Triangulation of the n-Cube.
A Stability Property of the Densest Circle Packing.
A survey of Sylvester's problem and its generalizations.
A survey on local cohomology and 𝓓-modules
A tight lower bound for convexly independent subsets of the Minkowski sums of planar point sets.
Abelian groups that cannot be factored without periodic factor