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math.DS2026
Decay of Correlations for Partially Hyperbolic Skew-Products
José F. Alves, Wael Bahsoun
We develop a technique based on sectional transfer operators and the regularity of their fixed points to study rates of correlation decay for partially hyperbolic skew-products. To…
math.DS2026
Fixed-point approximation for self-consistent transfer operators with Newton's method
Wael Bahsoun, Gary Froyland, Maxence Phalempin
Self consistent transfer operators arise naturally in the study of mean-field coupled dynamical systems and are closely related to kinetic PDEs such as the Vlasov equation. Despite…
math.DS2026
Linear response for skew-product maps with contracting fibres
José F. Alves, Wael Bahsoun
We study linear response for families of skew-product dynamical systems with contracting fibres. Our approach is based on a sectional transfer operator acting on families of probab…