Classification of Arrangements by the Number of Their Cells.
Common supporting lines for families of convex bodies in the plane.
Compact convex sets of the plane and probability theory
The Gauss−Minkowski correspondence in ℝ2 states the existence of a homeomorphism between the probability measures μ on [0,2π] such that ∫ 0 2 π e ix d μ ( x ) = 0 and the compact convex sets (CCS) of the plane with perimeter 1. In this article, we bring out explicit formulas relating the border of a CCS to its probability measure. As a consequence, we show that some natural operations on CCS – for example, the Minkowski sum – have natural translations in terms of probability measure operations,...
Computing the Geodesic Center of a Simple Polygon.
Condizioni di continuità in una misura approssimante
Conectando puntos: Poligonizaciones y otros problemas relacionados.
Confirmation of Matheron's conjecture on the covariogram of a planar convex body
Convex Bodies with Minimal Volume Product in ...
Convex curves of bounded type.
Convex Disks Can Cover Their Shadow.
Convex hulls of polyominoes.
Convex hulls, Sticky particle dynamics and Pressure-less gas system
We introduce a new condition which extends the definition of sticky particle dynamics to the case of discontinuous initial velocities with negative jumps. We show the existence of a stochastic process and a forward flow satisfying and , where is the law of and is the velocity of particle at time . Results on the flow characterization and Lipschitz continuity are also given.Moreover, the map is the entropy solution of a scalar conservation law where the flux represents the particles...
Convex Independent Sets and 7-Holes in Restricted Planar Point Sets.
Convex sets and inequalities.
Convexly independent subsets of the Minkowski sum of planar point sets.
Correction to the paper: Sets invariant under projections onto one dimensional subspaces
Covering a plane convex body with five smaller homothetical copies
Cutting Disjoint Disks by Straight Lines.
Decomposition of Convex Figures into Similar Pieces.
Decompositions of compact convex sets.