Determinantal Probability: Basic Properties and Conjectures
Russell Lyons
TL;DR
This paper explores the fundamental properties of determinantal probability measures and point processes, providing streamlined proofs, key examples, and posing open questions and conjectures in the field.
Contribution
It offers a clear exposition of basic properties, important examples, and open problems related to determinantal probability measures and point processes.
Findings
Streamlined proofs of fundamental properties
Illustrative important examples
Open questions and conjectures posed
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.
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Taxonomy
TopicsBayesian Methods and Mixture Models · Random Matrices and Applications · Statistical Methods and Inference