107 citations
6 papers
A number-theoretic approach to homotopy exponents of SU(n)
Donald M. Davis, Zhi-Wei Sun
We use methods of combinatorial number theory to prove that, for each and any prime , some homotopy group contains an element of order …
Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups
Terrence Napier, Mohan Ramachandran
The main goal of this paper is to prove that a connected bounded geometry complete Kahler manifold which has at least 3 filtered ends admits a proper holomorphic mapping onto a Rie…
Singularity points for first passage percolation
J. E. Yukich, Yu Zhang
Let be fixed scalars. Assign independently to each edge in the lattice the value with probability or the value with probability . For…
Regularity of volume-minimizing flows on 3-manifolds
David L. Johnson, Penelope Smith
In this article, we show that, for any compact 3-manifold, there is a volume-minimizing one-dimensional foliation. More generally, we show the existence of mass-minimizing…
Gaussian limits for random measures in geometric probability
Yu. Baryshnikov, J. E. Yukich
We establish Gaussian limits for general measures induced by binomial and Poisson point processes in d-dimensional space. The limiting Gaussian field has a covariance functional wh…
Volume-minimizing foliations on spheres
Fabiano Brito, David L. Johnson
The volume of a k-dimensional foliation in a Riemannian manifold is defined as the mass of image of the Gauss map, which is a map from M to the Grassmann bund…