Duke Applied Mathematics

Publications [#243880] of Jonathan C. Mattingly

Papers Published

1. with Bakhtin, Y; Hurth, T; Mattingly, JC, Regularity of invariant densities for 1D-systems with random switching, arXiv preprint arXiv:1406.5425, vol. 28 no. 11 (2014), pp. 3755-3787, IOP Publishing, ISSN 0951-7715 [arXiv:1406.5425], [repository], [doi]
   (last updated on 2024/04/23)

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