Research
Preprints and work in progress
Irregularity of Delone sets via Poincaré-type inequalities. In preparation.
On the rectifiability of Delone sets in intermediate regularity. In preparation (with Irene Inoquio )
Effective recovery of Fourier spectra and spectral approximation by finite groups (with Mircea Petrache). Submitted, 2023. [Arxiv link]
Accepted/Published
Delone sets that are not rectifiable under Lipschitz co-uniformly continuous bijections, J. of Mathematical Analysis and Applications, 2023 [journal link] [Arxiv Link]
Almost sure recovery in quasi-periodic structures (with Mircea Petrache), J. of Statistical Physics, 2022 [Journal link] [Arxiv Link]
Densities non realizable as the Jacobian of a bi-Lipschitz map are generic , J. of Topology and Analysis, 2018. [Journal link] [Arxiv link]