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math.DS2025
Left-handed geodesic flow of spheres of revolution
Pierre Dehornoy, Ana Rechtman
A flow on a 3-manifold is left-handed if any two ergodic invariant measures have negative linking number. We prove that on a 2-sphere of revolution whose curvature is -pinched…
math.DS2025
Quenched invariance principle with a rate for random dynamical systems
Zhenxin Liu, Benoit Saussol, Sandro Vaienti +1
In this paper, we consider the quenched invariance principle for random Young towers driven by an ergodic system. In particular, we obtain the Wassertein convergence rate in the qu…
math.DS2025
On a theorem of François Robert
Brigitte Mossé, Sasha Pignol, Elisabeth Remy
A well-known theorem by François Robert expresses the degenerated character of a synchronous Boolean finite dynamical system, in the case where the associated regulatory graph does…