منابع مشابه
Determinantal Probability Measures
Determinantal point processes have arisen in diverse settings in recent years and have been investigated intensively. We initiate a detailed study of the discrete analogue, the most prominent example of which has been the uniform spanning tree measure. Our main results concern relationships with matroids, stochastic domination, negative association, completeness for infinite matroids, tail triv...
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Infinite determinantal measures introduced in this note are inductive limits of determinantal measures on an exhausting family of subsets of the phase space. Alternatively, an infinite determinantal measure can be described as a product of a determinantal point process and a convergent, but not integrable, multiplicative functional. Theorem 2, the main result announced in this note, gives an ex...
متن کاملDeterminantal probability Basic properties and conjectures
We describe the fundamental constructions and properties of determinantal probability measures and point processes, giving streamlined proofs. We illustrate these with some important examples. We pose several general questions and conjectures. Mathematics Subject Classification (2010). Primary 60K99, 60G55; Secondary 42C30, 37A15, 37A35, 37A50, 68U99.
متن کاملIntroduction to determinantal point processes from a quantum probability viewpoint
Determinantal point processes on a measure space (X ,Σ, μ) whose kernels represent trace class Hermitian operators on L2(X ) are associated to “quasifree” density operators on the Fock space over L2(X ).
متن کاملInterval-Valued Probability Measures
The purpose of this paper is propose a simple de nition of an interval-valued probability measure and to examine some of the implications of this de nition. This de nition provides a method for characterizing certain types of imprecise probabilities. We develop some properties of this de nition and propose a de nition of integration with respect to it. We show that this de nition is a generaliz...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 2003
ISSN: 0073-8301,1618-1913
DOI: 10.1007/s10240-003-0016-0