A note related to the CS decomposition and the BK inequality for discrete determinantal processes

DOI10.1017/jpr.2022.41OpenAlexW2944256594MaRDI QIDQ5880992

André Goldman

Publication date: 9 March 2023

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03579

zbMATH Keywords

point processesexterior algebranegative dependencespanning treesprincipal angles

Mathematics Subject Classification ID

Factorization of matrices (15A23) Computing methodologies and applications (68U99) Special processes (60K99) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Exterior algebra, Grassmann algebras (15A75)

Cites Work

• Unnamed Item
• Unnamed Item
• Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances
• Determinantal processes and independence
• On principal angles between subspaces in \(\mathbb{R}^n\)
• History and generality of the CS decomposition
• Uniform spanning forests
• Determinantal probability measures
• A BK inequality for randomly drawn subsets of fixed size
• A note on tail triviality for determinantal point processes
• Quantum CNOT circuits synthesis for NISQ architectures using the syndrome decoding problem
• The palm measure and the Voronoi tessellation for the Ginibre process
• Towards a theory of negative dependence
• Inequalities with applications to percolation and reliability
• Reach of repulsion for determinantal point processes in high dimensions
• Couplings for determinantal point processes and their reduced Palm distributions with a view to quantifying repulsiveness
• Exact sampling of determinantal point processes without eigendecomposition
• RELATIONS BETWEEN TWO SETS OF VARIATES