34 citations · 161 across the 30 of their papers we have counts for
4 papers · 1 filter
The box dimension of random box-like self-affine sets
Sascha Troscheit
In this paper we study two random analogues of the box-like self-affine attractors introduced by Fraser, itself an extension of Sierpiński carpets. We determine the almost sure box…
On the dimensions of attractors of random self-similar graph directed iterated function systems
Sascha Troscheit
In this paper we propose a new model of random graph directed fractals that extends the current well-known model of random graph directed iterated function systems, -variable at…
An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta
O. Allanson, T. Neukirch, F. Wilson +1
We present a first discussion and analysis of the physical properties of a new exact collisionless equilibrium for a one-dimensional nonlinear force-free magnetic field, namely the…
Particular solutions of the inverse problem for 1D Vlasov-Maxwell equilibria using Hermite polynomials
O. Allanson, T. Neukirch, S. Troscheit +1
We present the solution to an inverse problem arising in the context of finding a distribution function for a specific collisionless plasma equilibrium. The inverse problem involve…