A. Bhat

collaborators

2 papers

math.MG2026

Non-rectifiable Delone sets under pointwise co-Lipschitz bijections

Ashwin Bhat, Michael Dymond

For each $d \in N_{\geq 2}$ we construct a Delone set $Y$ in $R^{d}$ for which every Lipschitz bijection from $Y$ to $Z^{d}$ has a very irregular inverse. For example, the inverse…

math.MG2025

Fast repetitivity in non-rectifiable Delone sets

Ashwin Bhat, Michael Dymond

We present a construction of non-rectifiable, repetitive Delone sets in every Euclidean space $R^{d}$ with $d \geq 2$ . We further obtain a close to optimal repetitivity func…