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math.CA2023★ 1 cited
On the speed of convergence in the ergodic theorem for shift operators
Nikolaos Chalmoukis, Leonardo Colzani, Bianca Gariboldi +1
Given a probability space , a square integrable function on such space and a (unilateral or bilateral) shift operator , we prove under suitable assumptions that the e…
math.CA2023
On a discrete approach to lower bounds in discrepancy theory
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante +1
In this paper, we prove that some renowned lower bounds in discrepancy theory admit a discrete analogue. Namely, we prove that the lower bound of the discrepancy for corners in the…
math.CA2023
Summability and speed of convergence in an ergodic theorem
Leonardo Colzani, Bianca M. Gariboldi, Alessandro Monguzzi
Given an irrational vector in , a continuous function on the torus and suitable weights such that $\sum_{n=-\infty}^{+\infty}Φ(…