Some remarks on the ergodic theorem for $U$-statistics

Herold Dehling; Davide Giraudo; Dalibor Volný

Comptes Rendus. Mathématique, Volume 361 (2023) no. 9 p. 1511-1519

An improvement of the mixing rates in a counter-example to the weak invariance principle

Davide Giraudo

Comptes Rendus. Mathématique, Volume 353 (2015) no. 10 p. 953-958