A. Vershik

activity

19962023

most citedFock factorizations, and decompositions of the

L^{2}

spaces over general Levy processes

31 citations · 31 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2023

Dynamics of metrics in measure spaces and scaling entropy

A. M. Vershik, G. A. Veprev, P. B. Zatitskii

This survey is dedicated to a new direction in the theory of dynamical systems: the dynamics of metrics in measure spaces and new (catalytic) invariants of transformations with inv…

math.PR2003★ 31 cited

Fock factorizations, and decompositions of the $L^{2}$ spaces over general Levy processes

Anatoly Vershik, Natalia Tsilevich

We explicitly construct and study an isometry between the spaces of square integrable functionals of an arbitrary Levy process and a vector-valued Gaussian white noise. In particul…

math.RT1996

Ergodic unitarily invariant measures on the space of infinite Hermitian matrices

Grigori Olshanski, Anatoli Vershik

Let $H$ be the space of all Hermitian matrices of infinite order and $U (\infty)$ be the inductive limit of the chain $U (1) \subset U (2) \subset ...$ of compact unitary groups. The gro…

Dynamics of metrics in measure spaces and scaling entropy

Fock factorizations, and decompositions of the L2 spaces over general Levy processes

Ergodic unitarily invariant measures on the space of infinite Hermitian matrices

Fock factorizations, and decompositions of the $L^{2}$ spaces over general Levy processes