5 papers · 1 filter
Multipliers and Disjointness from Mixing
Sohail Farhangi, Joel Moreira, Rigoberto Zelada
In 2005, Parreau proved that if a measure preserving system is not strongly mixing then it contains a non-trivial factor that is disjoint from every strongly mixing system. Taking…
Asymptotic dynamics on amenable groups and van der Corput sets
Sohail Farhangi, Robin Tucker-Drob
We answer a question of Bergelson and Lesigne by showing that the notion of van der Corput set does not depend on the Følner sequence used to define it. This result has been disco…
The Theory of Normality for Dynamically Generated Cantor Series Expansions
Sohail Farhangi, Bill Mance
The theory of normality for base expansions of real numbers in is rich and well developed. Similar theories have been developed for many other numeration systems, such…
Van der Corput's difference theorem for amenable groups and the left regular representation
Sohail Farhangi
We establish a connection between two variants of van der Corput's Difference Theorem (vdCDT) for countably infinite amenable groups and the ergodic hierarchy of mixing propert…
A generalization of van der Corput's Difference Theorem
Sohail Farhangi
We prove a generalization of van der Corput's Difference Theorem in the theory of uniform distribution by establishing a connection with unitary operators that have Lebesgue spectr…