Determinantal point processes (DPPs) are elegant probabilistic models of repulsion that
arise in quantum physics and random matrix theory. In contrast to traditional structured …

We introduce certain classes of random point fields, including fermion and boson point
processes, which are associated with Fredholm determinants of certain integral operators …

Determinantal point processes have arisen in diverse settings in recent years and have
been investigated intensively. We study basic combinatorial and probabilistic aspects in the …

We construct and study a family of probability measures on the configuration space over
countable discrete space associated with nonnegative definite symmetric operators via …

The increasing availability of both interesting data and processing capacity has led to
widespread interest in machine learning techniques that deal with complex, structured …

The main result of this paper, Theorem 1.4, establishes a conjecture of Lyons and Peres: for
a determinantal point process governed by a self-adjoint reproducing kernel, the system of …

We study a class of stationary processes indexed by ℤ d that are defined via minors of d-
dimensional (multilevel) Toeplitz matrices. We obtain necessary and sufficient conditions for …

We study determinantal point processes on CC induced by the reproducing kernels of
generalized Fock spaces as well as those on the unit disc DD induced by the reproducing …

The main result of this paper is that determinantal point processes on R corresponding to
projection operators with integrable kernels are quasi-invariant, in the continuous case …

We compute the eigenvalues of up-Laplacians on cubical lattices and derive the torsion-
weighted count of spanning acycles in cubical lattices by using the matrix-tree theorem for …