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math.DS2025
Parsings of Stationary Processes, Stopping Times and the Fundamental Pointwise Convergence Theorems of Ergodic Theory
Matan Tal
The idea of a parsing of a stationary process according to a collection of words is introduced, and the basic framework required for the asymptotic analysis of these parsings is pr…
math.DS2025
The Return Times Theorem, Auto-Correlation and Sequences with an Empty Fourier-Bohr Spectrum
Matan Tal
This paper explores the proof by J. Bourgain, H. Furstenberg, Y. Katznelson and D.S. Ornstein of their return times theorem [2] and lights a corner in it regarding the role of auto…