Volume 294, Issue 7 pp. 1295-1310
ORIGINAL PAPER

Bilipschitz equivalence of polynomials

Arnaud Bodin

Corresponding Author

Arnaud Bodin

Université de Lille, CNRS, Laboratoire Paul Painlevé, Lille, 59000 France

Correspondence

Arnaud Bodin, Université de Lille, CNRS, Laboratoire Paul Painlevé, 59000 Lille, France.

Email: [email protected]

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First published: 21 May 2021

Abstract

We study a family of two variables polynomials having moduli up to bilipschitz equivalence: two distinct polynomials of this family are not bilipschitz equivalent. However any level curve of the first polynomial is bilipschitz equivalent to a level curve of the second.

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