Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processes
Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processes
Abstract We prove the Bernoulli property for determinantal point processes on $ \mathbb{R}^d $ with translation-invariant kernels. For the determinantal point processes on $ \mathbb{Z}^d $ with translation-invariant kernels, the Bernoulli property was proved by Lyons and Steif [Stationary determinantal processes: phase multiplicity, bernoullicity, and domination. Duke Math. J. 120 …