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

      Bakhtin, Yuri; Hurth, T; Mattingly, Jonathan Christopher (Nonlinearity, 2015-09-30)
      © 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 ...
    • Smooth invariant densities for random switching on the torus 

      Bakhtin, Yuri; Hurth, T; Lawley, S; Mattingly, Jonathan Christopher (2017-08-30)
      We consider a random dynamical system obtained by switching between the flows generated by two smooth vector fields on the 2d-torus, with the random switchings happening according to a Poisson process. Assuming that the ...