Immanants and Finite Point Processes

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Determinantal Point Processes for Machine Learning (2012, background): “Furthermore, [37] considered the point processes induced by general immanants, showing that they are well defined and in some sense “interpolate” between determinantal and permanental processes.”
Hyperdeterminantal point processes (2008, unknown): “Replacing ǫ by a general irreducible character gives the immanantal point processes of [ DE00 ], while setting ǫ(σ) = α L−ν(σ) for −1 < α < 1 and ν(σ) the number of”
PATTERNS IN EIGENVALUES: THE 70TH JOSIAH WILLARD GIBBS LECTURE (2003, methodology): “Following work of Macchi, Diaconis-Evans [34] survey developments where determinants are replaced by permanents or immanents.”
The permanental process (2006, unknown): “An analogous theory, in which the fermion process replaces the boson process, follows similar lines, extending the work of [7] in a different direction.”
Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture (2003, methodology): “Following work of Macchi, Diaconis-Evans [34] survey developments where determinants are replaced by permanents or immanents.”
Determinantal random point fields (2000, background): “An interesting generalization of determinantal random point fields, so called immanantal random point fields (processes) was introduced by Diaconis and Evans in [ DE ].”