10 citations · 12 across the 3 of their papers we have counts for
4 papers
On solutions of the transport equation in the presence of singularities
Evelyne Miot, Nicholas Sharples
We consider the transport equation on in the situation where the vector field is off a set . We demonstrate that…
Equi-homogeneity, Assouad Dimension and Non-autonomous Dynamics
Alexander M. Henderson, Eric J. Olson, James C. Robinson +1
We show that self-similar sets arising from iterated function systems that satisfy the Moran open-set condition, a canonical class of fractal sets, are `equi-homogeneous'. This is…
Generalised Cantor sets and the dimension of products
Eric J. Olson, James C. Robinson, Nicholas Sharples
In this paper we consider the relationship between the Assouad and box-counting dimension and how both behave under the operation of taking products. We introduce the notion of `eq…
Strict inequality in the box-counting dimension product formulas
Nick Sharples
It is known that the upper box-counting dimension of a Cartesian product satisfies the inequality $\dim_{B}\left(F\times G\right)\leq \dim_{B}\left(F\right) + \dim_{B}\left(G\right…