activity
20072026
most citedThe net created from the Penrose tiling is biLipschitz to the integer lattice

3 citations · 4 across the 8 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.MG2020

A dichotomy for bounded displacement equivalence of Delone sets

Yotam Smilansky, Yaar Solomon

We prove that in every compact space of Delone sets in which is minimal with respect to the action by translations, either all Delone sets are uniformly spread, or c…

math.MG2020

Continuously many bounded displacement non-equivalences in substitution tiling spaces

Yaar Solomon

We consider substitution tilings in R^d that give rise to point sets that are not bounded displacement (BD) equivalent to a lattice and study the cardinality of BD(X), the set of d…

math.DS2020

Multiscale Substitution Tilings

Yotam Smilansky, Yaar Solomon

We introduce a new general framework for constructing tilings of Euclidean space, which we call multiscale substitution tilings. These tilings are generated by substitution schemes…