Discrete approximations of determinantal point processes on continuous spaces: tree representations and tail triviality

DOI10.1007/s10955-017-1928-2zbMath1390.60035arXiv1603.07478OpenAlexW3105669560MaRDI QIDQ1747704

Hirofumi Osada, Shota Osada

Publication date: 26 April 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07478

zbMATH Keywords

random matricesdeterminantal point processestree representationstail triviality

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

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Cites Work

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• Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
• Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination
• Random point fields associated with certain Fredholm determinants. II: Fermion shifts and their ergodic and Gibbs properties
• Determinantal probability measures
• Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture
• Determinantal random point fields
• An Introduction to Random Matrices

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