Bi-Lipschitz equivalent metrics on groups, and a problem in additive number theory

DOI10.4171/PM/1888zbMath1261.11006arXiv0902.3254OpenAlexW2963532557MaRDI QIDQ555199

Melvyn B. Nathanson

Publication date: 22 July 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3254

zbMATH Keywords

additive number theorymetric geometrygeometric group theorycombinatorial number theory\(g\)-adic representationbi-Lipschitz equivalence

Mathematics Subject Classification ID

Geometric group theory (20F65) Metric spaces, metrizability (54E35) Other combinatorial number theory (11B75) Metric geometry (51F99) Radix representation; digital problems (11A63) Additive bases, including sumsets (11B13) Representation functions (11B34)

Cites Work

• Finite phase transitions in countable Abelian groups.
• An Inverse Problem in Number Theory and Geometric Group Theory
• Phase Transitions in Infinitely Generated Groups, and Related Problems in Additive Number Theory
• Finding integral diagonal pairs in a two dimensional $\mathcal \{N\}$–set
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
• Unnamed Item
• Unnamed Item

This page was built for publication: Bi-Lipschitz equivalent metrics on groups, and a problem in additive number theory