A. Garber

activity

20102025

most citedOn the Origin of Crystallinity: a Lower Bound for the Regularity Radius of Delone Sets

23 citations · 112 across the 26 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.MG2017★ 11 cited

Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary

Dirk Frettlöh, Alexey Garber

This paper uses a connection between bounded remainder sets in $R^{d}$ and cut-and-project sets in $R$ together with the fact that each one-dimensional Pisot substi…

math.MG2017

Weighted $1 \times 1$ cut-and-project sets in bounded distance to a lattice

Dirk Frettlöh, Alexey Garber

Recent results of Grepstad and Lev are used to show that weighted cut-and-project sets with one-dimensional physical space and one-dimensional internal space are bounded distance e…

Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary

Weighted 1×1 cut-and-project sets in bounded distance to a lattice

Weighted $1 \times 1$ cut-and-project sets in bounded distance to a lattice