arXiv subjects

Dmitry Zubov

Publications and source records attributed to Dmitry Zubov.

2 recordsLinked to original sources

arXiv2017

Projections of orbital measures for classical Lie groups

In this paper we compute the radial parts of projections of the orbital measures for the compact Lie groups $SO(2n+1), Sp(2n)$ and $O(2n)$, extending the previous results for the case of the unitary group by Olshanski and Faraut. The answer is given in terms of determinants of the B-splines with the knots arranged symmetrically about zero.

math.DS↗

arXiv2015

Cohomological equations for suspension flows over Vershik automorphisms

In this paper we give sufficient conditions for existence of a solution of cohomological equation for suspension flows over automorphisms of Markov compacta, which were introduced by Vershik and Ito. The main result (Theorem 1) can be regarded as a symbolic analogue of results due to Forni and Marmi, Moussa and Yoccoz for translation flows and interval exchange transformations.

math.DS↗