Regularity of invariant densities for 1D systems with random switching

Yuri Bakhtin, Tobias Hurth, Jonathan C Mattingly
2015 Nonlinearity  
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.
doi:10.1088/0951-7715/28/11/3755 fatcat:jii4ewo6mzcyfkuu3gl5ugiy5e