In generic Hamiltonian systems with a mixed phase space chaotic transport may be directed and ballistic rather than diffusive. We investigate one particular model showing this behaviour, namely a spatially periodic billiard chain in which electrons move under the influence of a perpendicular magnetic field. We analyze the phase-space structure and derive an explicit expression for the chaotic t...

Scattering of teleseismic body waves is conventionally used to investigate crustal and mantle structure using the so-called “receiver function” technique. This approach makes use of the fact that teleseismic events have nearvertical incidence upon horizontally layered structure, ensuring minimum phase, and assumes that source-time functions can be approximated by energy on the P component of mo...

This paper presents a novel system inversion approach to the set-point regulation of linear scalar minimum-phase systems. This approach uses closed-form expressions of cause/e!ect pairs that make possible an arbitrarily smooth transition between two given output set-points. The cause/e!ect pairs are based on the introduced concept of `transitiona polynomials. Simple optimization procedures are ...

We consider time-dependence of dynamical transport, following a recent study of the stadium billiard in which classical transmission and reflection probabilities were shown to exhibit exponential or algebraic decay depending on the choice of the lead or “hole”, raising the question of whether this feature is due to special properties of the stadium. The system considered here is much more gener...