Regularity of invariant densities for 1D systems with random switching


Autoria(s): Bakhtin, Y; Hurth, T; Mattingly, JC
Data(s)

30/09/2015

Formato

3755 - 3787

Identificador

Nonlinearity, 2015, 28 (11), pp. 3755 - 3787

0951-7715

http://hdl.handle.net/10161/9514

1361-6544

Relação

Nonlinearity

10.1088/0951-7715/28/11/3755

Palavras-Chave #randomly switched ODEs #piecewise deterministic Markov processes #invariant densities
Tipo

Journal Article

Resumo

© 2015 IOP Publishing Ltd & London Mathematical Society.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.