39 citations · 44 across the 3 of their papers we have counts for
4 papers
On symmetric versions of Sylvester's problem
Mark W. Meckes
We consider moments of the normalized volume of a symmetric or nonsymmetric random polytope in a fixed symmetric convex body. We investigate for which bodies these moments are extr…
Volumes of symmetric random polytopes
Mark W. Meckes
We consider the moments of the volume of the symmetric convex hull of independent random points in an -dimensional symmetric convex body. We calculate explicitly the second and…
Concentration of norms and eigenvalues of random matrices
Mark W. Meckes
We prove concentration results for operator norms of rectangular random matrices and eigenvalues of self-adjoint random matrices. The random matrices we consider have bo…
Explicit SU(5) monopole solutions
Mark W. Meckes
We describe in detail a general scheme for embedding several BPS monopoles into a theory with a larger gauge group, which generalizes embeddings of SU(2) monopoles discussed by sev…