177 citations · 1.8k across the 103 of their papers we have counts for
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Open circle maps: Small hole asymptotics
Carl Dettmann
We consider escape from chaotic maps through a subset of phase space, the hole. Escape rates are known to be locally constant functions of the hole position and size. In spite of t…
Dependence of chaotic diffusion on the size and position of holes
Georgie Knight, Orestis Georgiou, Carl P. Dettmann +1
A particle driven by deterministic chaos and moving in a spatially extended environment can exhibit normal diffusion, with its mean square displacement growing proportional to the…
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…
Impact of boundaries on fully connected random geometric networks
Justin Coon, Carl P. Dettmann, Orestis Georgiou
Many complex networks exhibit a percolation transition involving a macroscopic connected component, with universal features largely independent of the microscopic model and the mac…
Notes on configurational thermostat schemes
A. A. Samoletov, C. P. Dettmann, M. A. J. Chaplain
We have linked together two contributions in the development of configurational thermostats, the BT thermostat and the SDC scheme. We have shown that recently proposed configuratio…
New horizons in multidimensional diffusion: The Lorentz gas and the Riemann Hypothesis
Carl P. Dettmann
The Lorentz gas is a billiard model involving a point particle diffusing deterministically in a periodic array of convex scatterers. In the two dimensional finite horizon case, in…