358 citations · 1k across the 16 of their papers we have counts for
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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…
On the continuity of global attractors
Luan Hoang, Eric J. Olson, James C. Robinson
Let be a complete metric space, and let be a parametrised family of semigroups with global attractors . We assume that there exists a f…
Some results in support of the Kakeya Conjecture
Jonathan M. Fraser, Eric J. Olson, James C. Robinson
A Besicovitch set is a subset of that contains a unit line segment in every direction and the famous Kakeya conjecture states that Besicovitch sets should have full dimensio…
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…
Continuous Data Assimilation with Stochastically Noisy Data
Hakima Bessaih, Eric Olson, E. S. Titi
We analyze the performance of a data-assimilation algorithm based on a linear feedback control when used with observational data that contains measurement errors. Our model problem…
On the Assouad dimension of self-similar sets with overlaps
Jonathan. M. Fraser, Alexander. M. Henderson, Eric J. Olson +1
It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can exceed the similarity dimension if there are overlaps in the construction. Our mai…