22 citations · 105 across the 26 of their papers we have counts for
5 papers · 1 filter
A blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformations
Floris van Doorn, Polona Durcik, Joris Roos +2
This blueprint serves as a companion to a forthcoming, shorter traditional mathematical paper. The purpose of this blueprint is two-fold: first, it has served as the foundation for…
An uncountable ergodic Roth theorem and applications
Polona Durcik, Rachel Greenfeld, Annina Iseli +2
We establish an uncountable amenable ergodic Roth theorem, in which the acting group is not assumed to be countable and the space need not be separable. This generalizes a previous…
Pointwise convergence of certain continuous-time double ergodic averages
Michael Christ, Polona Durcik, Vjekoslav Kovač +1
We prove a.e. convergence of continuous-time quadratic averages with respect to two commuting -actions, coming from a single jointly measurable measure-preserving $\mat…
Norm-variation of cubic ergodic averages
Polona Durcik, Kristina Ana Škreb
We prove a quantitative result on norm convergence of cubic ergodic averages with respect to commuting measure-preserving transformations. We use harmonic analysis techni…
Norm-variation of ergodic averages with respect to two commuting transformations
Polona Durcik, Vjekoslav Kovač, Kristina Ana Škreb +1
We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm. We approach the p…