65 citations · 277 across the 54 of their papers we have counts for
4 papers · 2 filters
On ergodic averages for parabolic product flows
Alexander I. Bufetov, Boris Solomyak
We consider a direct product of a suspension flow over a substitution dynamical system and an arbitrary ergodic flow and give quantitative estimates for the speed of convergence fo…
The Ergodic Decomposition of Infinite Pickrell Measures III. The infinite Bessel process as the limit of radial parts of finite-dimensional projections of infinite Pickrell measures
Alexander I. Bufetov
The third part of the paper concludes the proof of the main result --- the description of the ergodic decomposition of infinite Pickrell measures. First it is shown that the scalin…
Infinite Determinantal Measures and The Ergodic Decomposition of Infinite Pickrell Measures II. Convergence of determinantal measures
Alexander I. Bufetov
The second part of the paper mainly deals with convergence of infinite determinantal measures, understood as the convergence of the approximating finite determinantal measures. In…
Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields
Alexander I. Bufetov, Yanqi Qiu
Let be a non-discrete non-Archimedean locally compact field and the ring of integers in . The main results of this paper are Theorem 1.2 that classifies ergo…