General theories unifying ergodic averages and martingales

Author:

Kachurovskii A. G.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference47 articles.

1. A. M. Vershik, “The Theory of Decreasing Sequences of Measurable Partitions,” Algebra Anal. 6(4), 1–68 (1994) [St. Petersburg Math. J. 6, 705–761 (1995)].

2. A. M. Vershik and A. G. Kachurovskii, “Convergence Rates in Ergodic Theorems for Locally Finite Groups, and Reversed Martingales,” Preprint No. 2/1998 (St. Petersburg Branch, Steklov Inst. Math., Russ. Acad. Sci., St. Petersburg, 1998); Diff. Uravn. Protsessy Upravl., No. 1, 19–26 (1999).

3. N. Dunford and J. T. Schwartz, Linear Operators, Part 1: General Theory (Intersci., New York, 1958; Inostrannaya Literatura, Moscow, 1962).

4. J. L. Doob, Stochastic Processes (Wiley, New York, 1953; Inostrannaya Literatura, Moscow, 1956).

5. I. A. Ibragimov and Yu. V. Linnik, Independent and Stationary Sequences of Random Variables (Nauka, Moscow, 1965; Wolters-Noordhoff, Groningen, 1971).

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