2 papers
math.DS2026
Brjuno-Like Functions for nonlinear expanding maps: Fractional Derivatives and Regularity Dichotomies
Stefano Marmi, Daniel Smania
Cohomological equations appear frequently in dynamical systems. One of the most classical examples is the LivÅ¡ic equation The existence and regul…
math.DS2025
The Brjuno and Wilton Functions
Claire Burrin, Seul Bee Lee, Stefano Marmi
The Brjuno and Wilton functions bear a striking resemblance, despite their very different origins; while the Brjuno function is a fundamental tool in one-dimensional holomor…