Multidimensional expanding maps with singularities: a pedestrian\n approach

2011/10/10 by Carlangelo Liverani, Liverani, Carlangelo · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1110.2001

Abstract

I provide a proof of the existence of absolutely continuous invariant\nmeasures (and study their statistical properties) for multidimensional\npiecewise expanding systems with not necessarily bounded derivative or\ndistortion. The proof uses basic properties of multidimensional BV functions.\n

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• Intermittent--synchronization in non-weakly coupled piecewise linear expanding map lattice: a geometric-combinatorics method

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