English

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

Dynamical Systems 2015-10-28 v1 Probability

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.

Keywords

Cite

@article{arxiv.1406.5425,
  title  = {Regularity of invariant densities for 1D-systems with random switching},
  author = {Yuri Bakhtin and Tobias Hurth and Jonathan C. Mattingly},
  journal= {arXiv preprint arXiv:1406.5425},
  year   = {2015}
}

Comments

32 pages