A rigidity property of superpositions involving determinantal processes

Yanqi Qiu

Stochastic Processes and their Applications, 2019, vol. 129, issue 4, 1371-1378

Abstract: The main result of this paper states that if (N,Π) is a pair of independent point processes on a common ground space with N Poisson and Π determinantal induced by a locally trace class (not necessarily self-adjoint) correlation kernel, then their independent superposition N+Π determines uniquely the distributions of N and Π.

Keywords: Independent superposition; Poisson point process; Determinantal point process (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spa.2018.05.002

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