We develop a novel approach to identify regions of the genome underlying population genetic differentiation in any genetic data where the underlying population structure is unknown, or where the ...

Proceedings of the American Mathematical Society, Vol. 117, No. 2 (Feb., 1993), pp. 501-509 (9 pages) Extrinsic estimates from above for eigenvalues of generalized Dirac operators on compact manifolds ...

May’s theorem deals with community matrices 1,2,6 M, of size S × S, where S is the number of species. M ij describes the effect that species j has on i around a feasible equilibrium point (that is, ...

We consider two-sample tests for high-dimensional data under two disjoint models: the strongly spiked eigenvalue (SSE) model and the non-SSE (NSSE) model. We provide a general test statistic as a ...