3 citations · 3 across the 7 of their papers we have counts for
6 papers · 1 filter
On a Constraint on Invariant Measures of Certain Cellular Automata (Bi-Permutative and More)
Matan Tal
In [10], a constraint on invariant measures of bi-permutative cellular automata has been observed. Its content was more or less as follows: fixed values at the positive indices det…
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…
Furstenberg's Times 2, Times 3 Conjecture (a Short Survey)
Matan Tal
The following is a concise exposition of the conjecture and three of its proofs for the case of positive entropy by D. Rudolph [23] , B. Host [15] and W. Parry [22]. A simpler theo…
Some Remarks on the Notion of Bohr Chaos and Invariant Measures
Matan Tal
The notion of Bohr chaos was introduced in [3, 4]. We answer a question raised in [3] of whether a non uniquely ergodic minimal system of positive topological entropy can be Bohr c…
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…