Аннотация:
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 4.1, the main result announced in this note, gives an explicit
description for the ergodic decomposition of infinite Pickrell measures on the
spaces of infinite complex matrices in terms of infinite determinantal measures
obtained by finite-rank perturbations of Bessel point processes.
Список цитирования