Bi-Lipschitz Bijections of Z

• Autorzy: Itai Benjamini , Alexander Shamov
• Języki publikacji: EN

Abstrakty

EN

It is shown that every bi-Lipschitz bijection from Z to itself is at a bounded L1 distance from either the identity or the reflection.We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.

Słowa kluczowe

EN

Bi-Lipschitz; bijections

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-05-12

zaakceptowano

2015-09-24

online

2015-10-15

Twórcy

autor

Itai Benjamini

• Department of Mathematics, The Weizmann Institute of Science, 234 Herzl Street, Rehovot 7610001, Israel

autor

Alexander Shamov

• Department of Mathematics, The Weizmann Institute of Science, 234 Herzl Street, Rehovot 7610001, Israel

Bibliografia

• [1] Dmitri Burago, Yuri Burago, and Sergei Ivanov, A Course in Metric Geometry, Graduate Studies inMathematics, 33. American Mathematical Society (2001).
• [2] Kate Juschenko and Nicolas Monod, Cantor systems, piecewise translations and simple amenable groups. Annals ofMathematics 2 (2013), 775–787. [WoS]
• [3] Kate Juschenko and Mikael de la Salle, Invariant means for the wobbling group. Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 2, 281–290.

Identyfikatory

DOI

10.1515/agms-2015-0018