%0 Journal Article %T Regularity of invariant densities for 1D-systems with random switching %A Yuri Bakhtin %A Tobias Hurth %A Jonathan C. Mattingly %J Mathematics %D 2014 %I arXiv %R 10.1088/0951-7715/28/11/3755 %X 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. %U http://arxiv.org/abs/1406.5425v1