3 papers
math.DS2026
Cut and project schemes in the Poincaré disc: From cocompact Fuchsian groups to chaotic Delone sets
Richard A. Howat, Tony Samuel, AyÅe Yıltekin-KarataÅ
A question raised by Davies et al [Phys. Rev. Lett. 131, 2023] is: "Can developing new cut and project models, where the lattice is not square or the curve is non-linear, generate…
math.MG2026
Affine thickness: Patterns and a Gap Lemma
Richard A. Howat
A new notion of thickness for subsets of called affine thickness is defined; this notion of thickness is a generalisation of Falconer-Yavicoli thicknes…
math.DS2025
The matrix potential game and structures of self-affine sets
Richard A. Howat, Andrew Mitchell, Tony Samuel
We present a new variant of the potential game and show that certain compact subsets of , including a large class of self-affine sets, are winning in our game. We pro…