23 citations · 49 across the 4 of their papers we have counts for
5 papers
Expansivity and unique shadowing
Chris Good, Sergio Macías, Jonathan Meddaugh +2
Let be a continuous function on a compact metric space. We show that shadowing is equivalent to backwards shadowing and two-sided shadowing when the map is ont…
Delocalisation of eigenfunctions on large genus random surfaces
Joe Thomas
We prove that eigenfunctions of the Laplacian on a compact hyperbolic surface delocalise in terms of a geometric parameter dependent upon the number of short closed geodesics on th…
Short geodesic loops and norms of eigenfunctions on large genus random surfaces
Clifford Gilmore, Etienne Le Masson, Tuomas Sahlsten +1
We give upper bounds for norms of eigenfunctions of the Laplacian on compact hyperbolic surfaces in terms of a parameter depending on the growth rate of the number of short g…
Preservation of shadowing in discrete dynamical systems
Chris Good, Joel Mitchell, Joe Thomas
We look at the preservation of various notions of shadowing in discrete dynamical systems under inverse limits, products, factor maps and the induced maps for symmetric products an…
On inverse shadowing
Chris Good, Joel Mitchell, Joe Thomas
We give a reformulation of the inverse shadowing property with respect to the class of all pseudo-orbits. This reformulation bears witness to the fact that the property is far stro…