Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Rates of Convergence in Ergodic Theorems for Locally Finite Groups and Reversed Martingales

Author(s):

A. G. Kachurovsky

Mathematical Institute named V.A.Steklov
of Russian Academy of Siences,
St.Petersburg Department,
Laboratory of Mathematical Analisys,
Fontanka emb., 27, 191011, St.Petersburg, Russia

agk@pdmi.ras.ru

A. M. Vershik

Mathematical Institute named V.A.Steklov
of Russian Academy of Siences,
St.Petersburg Department,
Laboratory of Mathematical Analisys,
Fontanka emb., 27, 191011, St.Petersburg, Russia

vershik@pdmi.ras.ru

Abstract:

Homogenious reversed martingale can be considered as a sequence of averages in ergodic theorem for locally finite groups; and vice versa. In the paper, these relations are used for receiving estimates of rates of convergence.

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