4 papers
math.PR2025
Moments of finitary factor maps between Bernoulli processes
Uri Gabor
The problem of what moments can exist for the coding radius of a finitary map between two i.i.d. processes, has been extensively studied in the case of -processes. Here…
math.DS2024
Moment-optimal finitary isomorphism for i.i.d. processes of equal entropy
Uri Gabor
The finitary isomorphism theorem, due to Keane and Smorodinsky, raised the natural question of how "finite" the isomorphism can be, in terms of moments of the coding radius. More p…
math.DS2019
On the failure of Ornstein theory in the finitary category
Uri Gabor
We show the invalidity of finitary counterparts for three classification theorems: The preservation of being a Bernoulli shift through factors, Sinai's factor theorem, and the weak…
math.DS2019
Fluctuations of ergodic averages for amenable group actions
Uri Gabor
We show that for any countable amenable group action, along Følner sequences that have for any a two sided -tempered tail, one have universal estimate for the probability…