Random point fields associated with certain Fredholm determinants II: Fermion shifts and their ergodic and Gibbs properties

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Determinantal Point Processes for Machine Learning (2012, background): “Many good mathematical surveys are now available [Borodin, 2009, Hough et al., 2006, Shirai and Takahashi, 2003a,b, Lyons, 2003, Soshnikov, 2000, Tao, 2009].”
On adding a list of numbers (and other one-dependent determinantal processes) (2009, background): “Lyons and Steif [52] and Shirai and Takahashi [65, 66] develop remarkable properties of the associated point process.”
Determinantal probability measures (2002, methodology): “We also show that PQ has a trivial (full) tail σ-field for all Q; this was shown independently by Shirai and Takahashi (2003) when the spectrum of Q lies in (0, 1).”
Determinantal Processes and Independence (2005, background): “Determinantal processes arise naturally in several other settings, including eigenvalues of random matrices, random spanning trees and nonintersecting paths; see, e.g., Burton and Pemantle [4], Soshnikov [27], Lyons [20], Lyons and Steif [21], Shirai and Takahashi [25], Johansson [14], Borodin, Okou”