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arxiv: 1406.5425 · v1 · pith:CBMGABW3new · submitted 2014-06-20 · 🧮 math.DS · math.PR

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

classification 🧮 math.DS math.PR
keywords invariantdensitiescriticalpointsrandomswitchinganalysisasymptotics
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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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