50 citations · 546 across the 43 of their papers we have counts for
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Statistical properties of -adic processes and their connections to families of popular fractal curves
J. R. Dorfman, Thomas Gilbert
Results concerning the statists of -adic processes and their fractal properties are reviewed. The connection between singular eigenstates of the statistical evolution of such pr…
Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape
Thomas Gilbert, David P. Sanders
We introduce a class of convex, higher-dimensional billiard models which generalise stadium billiards. These models correspond to the free motion of a point-particle in a region bo…
Persistence effects in deterministic diffusion
Thomas Gilbert, David P. Sanders
In systems which exhibit deterministic diffusion, the gross parameter dependence of the diffusion coefficient can often be understood in terms of random walk models. Provided the d…
Chaos in cylindrical stadium billiards via a generic nonlinear mechanism
Thomas Gilbert, David P. Sanders
We describe conditions under which higher-dimensional billiard models in bounded, convex regions are fully chaotic, generalizing the Bunimovich stadium to dimensions above two. An…
Statistical properties of time-reversible triangular maps of the square
Vasileios Basios, Gian Luigi Forti, Thomas Gilbert
Time reversal symmetric triangular maps of the unit square are introduced with the property that the time evolution of one of their two variables is determined by a piecewise expan…
Heat conduction and Fourier's law in a class of many particle dispersing billiards
Pierre Gaspard, Thomas Gilbert
We consider the motion of many confined billiard balls in interaction and discuss their transport and chaotic properties. In spite of the absence of mass transport, due to confinem…