Limiting entropy of determinantal processes
نویسندگان
چکیده
منابع مشابه
Stationary Determinantal Processes : Phase Transitions , Bernoullicity , Entropy , and Domination
We study a class of stationary processes indexed by Z that are defined via minors of d-dimensional Toeplitz matrices. We obtain necessary and sufficient conditions for the existence of a phase transition (phase multiplicity) analogous to that which occurs in statistical mechanics. The absence of a phase transition is equivalent to the presence of a strong K property, a particular strengthening ...
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We study a class of stationary processes indexed by Z that are defined via minors of d-dimensional (multilevel) Toeplitz matrices. We obtain necessary and sufficient conditions for phase multiplicity (the existence of a phase transition) analogous to that which occurs in statistical mechanics. Phase uniqueness is equivalent to the presence of a strong K property, a particular strengthening of t...
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We study a class of stationary processes indexed by Z that are defined via minors of d-dimensional Toeplitz matrices. We obtain necessary and sufficient conditions for the existence of a phase transition (phase multiplicity) analogous to that which occurs in statistical mechanics. The absence of a phase transition is equivalent to the presence of a strong K property, a particular strengthening ...
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We study a class of stationary processes indexed by Z that are defined via minors of d-dimensional (multilevel) Toeplitz matrices. We obtain necessary and sufficient conditions for phase multiplicity (the existence of a phase transition) analogous to that which occurs in statistical mechanics. Phase uniqueness is equivalent to the presence of a strong K property, a particular strengthening of t...
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A determinantal point process (DPP) is a random process useful for modeling the combinatorial problem of subset selection. In particular, DPPs encourage a random subset Y to contain a diverse set of items selected from a base set Y . For example, we might use a DPP to display a set of news headlines that are relevant to a user’s interests while covering a variety of topics. Suppose, however, th...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2020
ISSN: 0091-1798
DOI: 10.1214/20-aop1435