The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we reveal the face structure of the contact polytope of the Leech lattice. We classify i...
We consider statistical mechanics systems defined on a set with some symmetry properties (namely, the set admits an action by a group, which is finitely generated and residually fi...
Abstract. Recently, the Csignature scheme has been completely broken by Dubois et al. [2, 3]. As a consequence, the security of SFLASH and other multivariate public key systems hav...
Background: Many functional proteins have a symmetric structure. Most of these are multimeric complexes, which are made of non-symmetric monomers arranged in a symmetric manner. H...
Abstract. Motivated by juggling sequences and bubble sort, we examine permutations on the set {1, 2, . . . , n} with d descents and maximum drop size k. We give explicit formulas f...
Fan R. K. Chung, Anders Claesson, Mark Dukes, Rona...