36 citations · 98 across the 10 of their papers we have counts for
11 papers
Hausdorff Dimension of Average Conformal Hyperbolic Sets
Paul Wright
The Hausdorff dimension of a conformal repeller or conformal hyperbolic set is well understood. For non-conformal maps, the Hausdorff dimension is only known in some special cases.…
Differentiability of Hausdorff dimension of the non-wandering set in a planar open billiard
Paul Wright
We consider open billiards in the plane satisfying the no-eclipse condition. We show that the points in the non-wandering set depend differentiably on deformations to the boundary…
Estimates of Hausdorff dimension for non-wandering sets of higher dimensional open billiards
Paul Wright
This article concerns a class of open billiards consisting of a finite number of strictly convex, non-eclipsing obstacles . The non-wandering set of the billiard ball map…
Behavior of the Escape Rate Function in Hyperbolic Dynamical Systems
Mark Demers, Paul Wright
For a fixed initial reference measure, we study the dependence of the escape rate on the hole for a smooth or piecewise smooth hyperbolic map. First, we prove the existence and Hol…
Entropy, Lyapunov Exponents and Escape Rates in Open Systems
Mark Demers, Paul Wright, Lai-Sang Young
We study the relation between escape rates and pressure in general dynamical systems with holes, where pressure is defined to be the difference between entropy and the sum of posit…
The Diffusion Coefficient For Piecewise Expanding Maps Of The Interval With Metastable States
Dmitry Dolgopyat, Paul Wright
Consider a piecewise smooth expanding map of the interval possessing several invariant subintervals and the same number of ergodic absolutely continuous invariant probability measu…