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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.FA2023
Discrepancy and approximation of absolutely continuous measures with atomic measures
Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini
We prove several results concerning the discrepancy, tested on balls in the -dimensional torus , between absolutely continuous measures and finite atomic measure…
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(…