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math.DS2025
Statistical stability for systems semi-conjugate to pre-piecewise \textit{convex or expanding} maps with countably many branches
Rafael Lucena
We investigate the statistical stability of a class of dynamical systems semi-conjugate to pre-piecewise \textit{convex or expanding} maps with countably many branches. These syste…
math.DS2025
Quasi-compactness and statistical properties for discontinuous systems semi-conjugate to piecewise convex maps with countably many branches
Rafael Lucena
In this paper, we establish the quasi-compactness of the transfer operator associated with skew product systems that are semi-conjugate to piecewise convex maps with a countably in…