Determinantal probability measures
Probability
2010-04-27 v4 Combinatorics
Abstract
Determinantal point processes have arisen in diverse settings in recent years and have been investigated intensively. We study basic combinatorial and probabilistic aspects in the discrete case. Our main results concern relationships with matroids, stochastic domination, negative association, completeness for infinite matroids, tail triviality, and a method for extension of results from orthogonal projections to positive contractions. We also present several new avenues for further investigation, involving Hilbert spaces, combinatorics, homology, and group representations, among other areas.
Keywords
Cite
@article{arxiv.math/0204325,
title = {Determinantal probability measures},
author = {Russell Lyons},
journal= {arXiv preprint arXiv:math/0204325},
year = {2010}
}
Comments
50 pp; added reference to revision. Revised introduction and made other small changes