2 papers
math.DS2026
Martingale Methods for Maximal Large Deviations and Young Towers
José F. Alves, João S. Matias, Ian Melbourne
We develop a martingale approximation framework yielding quantitative maximal large deviations estimates for invertible dynamical systems. From suitable decay of correlations, we d…
math.DS2025
Young structures for partially hyperbolic systems with mostly contracting central direction
José F. Alves, João S. Matias
We establish the existence of Young structures for a broad class of partially hyperbolic diffeomorphisms with a splitting , under exactly the same condit…