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math.PRJun 10, 2014
27
citations (OpenAlex)
authors
  • Russell Lyons
arXiv abstractPDF
paper

Determinantal Probability: Basic Properties and Conjectures

arXiv:1406.2707

Abstract

We describe the fundamental constructions and properties of determinantal probability measures and point processes, giving streamlined proofs. We illustrate these with some important examples. We pose several general questions and conjectures.

26pp., Intl. Congress Math. 2014

References in corpus (2)

  • Zeros of Random Analytic Functions
  • Invariant monotone coupling need not exist

Cited by in corpus (10)

  • Determinantal probability measures on Grassmannians
  • A bound of the β-mixing coefficient for point processes in terms of their intensity functions
  • On the mean projection theorem for determinantal point processes
  • Equivalence of Palm measures for determinantal point processes governed by Bergman kernels
  • Signal reconstruction using determinantal sampling
  • Fast Sampling for Strongly Rayleigh Measures with Application to Determinantal Point Processes
  • The CS decomposition and conditional negative correlation inequalities for determinantal processes
  • Some remarks on associated random fields, random measures and point processes
  • Determinantal Processes and Stochastic Domination
  • The Patterson-Sullivan Interpolation of Pluriharmonic Functions for Determinantal Point Processes on Complex Hyperbolic Spaces
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