5 papers · 1 filter
Uniqueness of a topological Furstenberg system
Ioannis Kousek, Vicente Saavedra-Araya
Given a semigroup and a bounded function , a topological Furstenberg system of is a topological dynamical system that…
Ergodic averages for commutative transformations along return times
Sebastián Donoso, Sovanlal Mondal, Vicente Saavedra-Araya
In this paper, we extend recent results on the convergence of ergodic averages along sequences generated by return times to shrinking targets in rapidly mixing systems, partially a…
Hitting times of shrinking targets: Transversality and an ergodic theorem
Vicente Saavedra-Araya
In this paper, we investigate ergodic and fractal properties of the sets where denotes the fractional part functi…
A pointwise ergodic theorem along return times of rapidly mixing systems
Sebastián Donoso, Alejandro Maass, Vicente Saavedra-Araya
We introduce a new class of sparse sequences that are ergodic and pointwise universally -good for ergodic averages. That is, sequences along which the ergodic averages converg…
Distribution of integers with digit restrictions via Markov chains
Vicente Saavedra-Araya
In this paper, we introduce a new technique to study the distribution in residue classes of sets of integers with digit and sum-of-digits restrictions. From our main theorem, we de…