24 citations · 67 across the 18 of their papers we have counts for
5 papers · 1 filter
Images of eigenvalue distributions under power maps
Eric M. Rains
In [earlier work by the author], it was shown that if U is a random n x n unitary matrix, then for any p>=n, the eigenvalues of U^p are i.i.d. uniform; similar results were also sh…
A semidefinite program for distillable entanglement
Eric M. Rains
We show that the maximum fidelity obtained by a p.p.t. distillation protocol is given by the solution to a certain semidefinite program. This gives a number of new lower and upper…
Correlation functions for symmetrized increasing subsequences
Eric M. Rains
We show that the correlation functions associated to symmetrized increasing subsequence problems can be expressed as pfaffians of certain antisymmetric matrix kernels, thus general…
A mean identity for longest increasing subsequence problems
Eric M. Rains
We show that a wide variety of generalized increasing subsequence problems admit a one parameter family of extensions for which we can exactly compute the mean length of the longes…
Limiting distributions for a polynuclear growth model with external sources
Jinho Baik, Eric Rains
The purpose of this paper is to investigate the limiting distribution functions for a polynuclear growth model with two external sources, which was considered by Prähofer and Spohn…