4 papers
On a Constraint on Invariant Measures of Certain Cellular Automata
Matan Tal
In [7], a constraint on invariant measures of bi-permutative cellular automata has been observed: fixed values at the positive indices determine almost-surely a uniform conditional…
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…
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…
Conic Representations of Topological Groups
Matan Tal
We define basic notions in the category of conic representations of a topological group and prove elementary facts about them. We show that a conic representation determines an ord…