1 citations
4 papers
Lattice Delone simplices with super-exponential volume
F. Santos, A. Schuermann, F. Vallentin
In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves…
Successive Minima and Best Simultaneous Diophantine Approximations
Iskander Aliev, Martin Henk
We study the problem of best approximations of a vector by rational vectors of a lattice whose common denominator is bounded. To this e…
Absence of magnetic order for the spin-half Heisenberg antiferromagnet on the star lattice
J. Richter, J. Schulenburg, A. Honecker +1
We study the ground-state properties of the spin-half Heisenberg antiferromagnet on the two-dimensional star lattice by spin-wave theory, exact diagonalization and a variational me…
Computational Approaches to Lattice Packing and Covering Problems
Achill Schuermann, Frank Vallentin
We describe algorithms which address two classical problems in lattice geometry: the lattice covering and the simultaneous lattice packing-covering problem. Theoretically our algor…