Synchronization properties of random piecewise isometries

Abstract

We study the synchronization properties of the random double rotations on tori. We give a criterion that show when synchronization is present in the case of random double rotations on the circle and prove that it is always absent in dimensions two and higher.

15 pages

References in corpus (2)

• Mono-atomic disintegration and Lyapunov exponents for derived from Anosov diffeomorphisms
• Center Lyapunov exponents in partially hyperbolic dynamics

Cited by in corpus (1)

• Random walks on $\mathrm{Homeo}(S^1)$