Self-Similar Corrections to the Ergodic Theorem for the Pascal-Adic Transformation

Elise Janvresse, Thierry de la Rue, Yvan Velenik

Let T be the Pascal-adic transformation. For any measurable function g, we consider the corrections to the ergodic theorem sum_{k=0}^{j-1} g(T^k x) - j/l sum_{k=0}^{l-1} g(T^k x).…