3 papers
math.MG2019
Assouad spectrum thresholds for some random constructions
Sascha Troscheit
The Assouad dimension of a metric space determines its extremal scaling properties. The derived notion of the Assouad spectrum fixes relative scales by a scaling function to obtain…
physics.plasm-ph2017
The inverse problem for collisionless plasma equilibria
O. Allanson, S. Troscheit, T. Neukirch
Vlasov-Maxwell equilibria are described by the self-consistent solutions of the time-independent Maxwell equations for the real-space dynamics of electromagnetic fields, and the Vl…
math.NT2017
The Mass Transference Principle: Ten Years On
Demi Allen, Sascha Troscheit
In this article we discuss the Mass Transference Principle due to Beresnevich and Velani and survey several generalisations and variants, both deterministic and random. Using a Hau…