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Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
January 23, 2014 14:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Determinantal random point fields

Alexander Bufetov
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Alexander Bufetov
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Abstract: Determinantal random point fields are measures on spaces of configurations whose correlation functions have determinantal form. Such measures appear in a wide variety of problems, e.g., that of the distribution of spanning trees in an infinite graph, of eigenvalues of random matrices, of zeros of a random analytic function, of the first row of a Plancherel Young diagram.
The talk, aimed at a wide mathematical audience, will give an elementary survey of the theory of determinantal processes, concentrated on examples coming from representations of infinite-dimensional groups.
 
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