Gaussian marginals of convex bodies with symmetries.
General embedding problems and two-distance sets in Minkowski planes.
General methods of constructing equivalent minimal pairs not unique up to translation.
In this paper we give general methods of construction of various equivalent minimal pairs of compact convex sets that are not translates of one another.
Generalisations of the Tits representation.
Generalization Of An Inequality Of G. Pólya Concerning The Eigenfrequences Of Vibrating Bodies
Generalization of projection constants: sufficient enlargements.
Generalized approximate midconvexity
Generalized Breadths, Circular Cantor Sets, and the Least Area UCC .
Generalized convexity and optimization problems
Generalized Dehn-Sommerville equations and an upper bound theorem
Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially orderd sets.
Generalized Delaunay Triangulation for Planar Graphs.
Generalized midset properties characterize geodesic circles and intervals
Generalized Staircases: Recurrence and Symmetry
We study infinite translation surfaces which are -covers of compact translation surfaces. We obtain conditions ensuring that such surfaces have Veech groups which are Fuchsian of the first kind and give a necessary and sufficient condition for recurrence of their straight-line flows. Extending results of Hubert and Schmithüsen, we provide examples of infinite non-arithmetic lattice surfaces, as well as surfaces with infinitely generated Veech groups.
Generalized triangular grids in digital geometry.
Generalized vector quasi-equilibrium problems with set-valued mappings.
Generalized Vitali systems of uniform type
Generalized Whitney partitions
We prove that the upper Minkowski dimension of a compact set Λ is equal to the convergence exponent of any packing of the complement of Λ with polyhedra of size not smaller than a constant multiple of their distance from Λ.
Generalizing the Johnson-Lindenstrauss lemma to k-dimensional affine subspaces
Let ε > 0 and 1 ≤ k ≤ n and let be affine subspaces of ℝⁿ, each of dimension at most k. Let if ε < 1, and m = O(k + log p/log(1 + ε)) if ε ≥ 1. We prove that there is a linear map such that for all 1 ≤ l ≤ p and we have ||x-y||₂ ≤ ||H(x)-H(y)||₂ ≤ (1+ε)||x-y||₂, i.e. the distance distortion is at most 1 + ε. The estimate on m is tight in terms of k and p whenever ε < 1, and is tight on ε,k,p whenever ε ≥ 1. We extend these results to embeddings into general normed spaces Y.
Generating Closed 2-Cell Embeddings in the Torus and the Projective Plane.