24 citations · 67 across the 18 of their papers we have counts for
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Interpretations of some parameter dependent generalizations of classical matrix ensembles
Peter J. Forrester, Eric M. Rains
Two types of parameter dependent generalizations of classical matrix ensembles are defined by their probability density functions (PDFs). As the parameter is varied, one interpolat…
Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter
Peter J. Forrester, Eric M. Rains
A superposition of a matrix ensemble refers to the ensemble constructed from two independent copies of the original, while a decimation refers to the formation of a new ensemble by…
A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces
A. R. Calderbank, R. H. Hardin, E. M. Rains +2
By using totally isotropic subspaces in an orthogonal space Omega^{+}(2i,2), several infinite families of packings of 2^k-dimensional subspaces of real 2^i-dimensional space are co…
The Shadow Theory of Modular and Unimodular Lattices
E. M. Rains, N. J. A. Sloane
It is shown that an n-dimensional unimodular lattice has minimal norm at most 2[n/24] +2, unless n = 23 when the bound must be increased by 1. This result was previously known only…
On the Existence of Similar Sublattices
J. H. Conway, E. M. Rains, N. J. A. Sloane
Partial answers are given to two questions. When does a lattice Lambda contain a sublattice Lambda' of index N that is geometrically similar to Lambda? When is the sublattice "clea…
On Cayley's Enumeration of Alkanes (or 4-Valent Trees)
E. M. Rains, N. J. A. Sloane
Cayley's 1875 enumerations of centered and bicentered alkanes (unlabeled trees of valency at most 4) are corrected and extended -- possibly for the first time in 124 years.