Rectifying separated nets

DOI10.1007/s00039-002-8238-8zbMath1165.26007OpenAlexW2084446109MaRDI QIDQ1601043

Bruce Kleiner, Dmitri Burago

Publication date: 17 June 2002

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/41844

zbMATH Keywords

Jacobianhomeomorphismdensity estimatesbi-Lipschitzean

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Continuity properties of mappings on manifolds (58C07)

Related Items (18)

Discrepancy and rectifiability of almost linearly repetitive Delone sets ⋮ Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices ⋮ A remark concerning bi-Lipschitz equivalence of Delone sets ⋮ Open problems and conjectures related to the theory of mathematical quasicrystals ⋮ Equivalence relations on separated nets arising from linear toral flows ⋮ A dichotomy for bounded displacement equivalence of Delone sets ⋮ Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups. ⋮ Diffusive limits on the Penrose tiling ⋮ Delone sets that are not rectifiable under Lipschitz co-uniformly continuous bijections ⋮ Highly irregular separated nets ⋮ A counterexample to the easy direction of the geometric Gersten conjecture ⋮ Linearly repetitive Delone sets are rectifiable ⋮ Flows on a cubic lattice ⋮ Substitution tilings and separated nets with similarities to the integer lattice ⋮ Pattern equivariant cohomology and theorems of Kesten and Oren ⋮ Equivalence classes of codimension-one cut-and-project nets ⋮ Separated nets in nilpotent groups ⋮ Functions of substitution tilings as a Jacobian

This page was built for publication: Rectifying separated nets