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arXiv · 1406.5425

Regularity of invariant densities for 1D-systems with random switching

Yuri Bakhtin·Tobias Hurth·Jonathan C. Mattingly
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Abstract

This is a detailed analysis of invariant measures for one-dimensional dynamical systems with random switching. In particular, we prove smoothness of the invariant densities away from critical points and describe the asymptotics of the invariant densities at critical points.

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Yuri Bakhtin, Tobias Hurth, Jonathan C. Mattingly. 2014-06-20. Regularity of invariant densities for 1D-systems with random switching. https://doi.org/10.1088/0951-7715%2F28%2F11%2F3755

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