13 citations · 36 across the 14 of their papers we have counts for
3 papers · 1 filter
The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups
Jason Atnip, Hiroki Sumi, Mariusz Urbański
We study skew-product dynamics for a large class of finitely-generated semi--hyperbolic semigroups of rational maps acting on the Riemann sphere, which generalizes both the theory…
Thermodynamic Formalism for Random Weighted Covering Systems
Jason Atnip, Gary Froyland, Cecilia González-Tokman +1
We develop a quenched thermodynamic formalism for random dynamical systems generated by countably branched, piecewise-monotone mappings of the interval that satisfy a random coveri…
Extreme Value Theory with Spectral Techniques: application to a simple attractor
Jason Atnip, Nicolai Haydn, Sandro Vaienti
We give a brief account of application of extreme value theory in dynamical systems by using perturbation techniques associated to the transfer operator. We will apply it to the ba…