747 citations · 1.5k across the 47 of their papers we have counts for
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Escape through a time-dependent hole in the doubling map
André L. P. Livorati, Orestis Georgiou, Carl P. Dettmann +1
We investigate the escape dynamics of the doubling map with a time-periodic hole. We use Ulam's method to calculate the escape rate as a function of the control parameters. We cons…
Faster than expected escape for a class of fully chaotic maps
Orestis Georgiou, Carl P. Dettmann, Eduardo G. Altmann
We investigate the dependence of the escape rate on the position of a hole placed in uniformly hyperbolic systems admitting a finite Markov partition. We derive an exact periodic o…
Quantifying intermittency in the open drivebelt billiard
Carl P. Dettmann, Orestis Georgiou
A "drivebelt" stadium billiard with boundary consisting of circular arcs of differing radius connected by their common tangents shares many properties with the conventional "straig…
Transmission and Reflection in the Stadium Billiard: Time-dependent asymmetric transport
Carl P. Dettmann, Orestis Georgiou
We investigate the transmission and reflection survival probabilities for the chaotic stadium billiard with two holes placed asymmetrically. Classically, these distributions are sh…
Survival Probability for the Stadium Billiard
Carl P. Dettmann, Orestis Georgiou
We consider the open stadium billiard, consisting of two semicircles joined by parallel straight sides with one hole situated somewhere on one of the sides. Due to the hyperbolic n…