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.

中文翻译：

---

多项式的 Bilipschitz 等价

我们研究模数高达 bilipschitz 等价的两个变量多项式族：该族的两个不同多项式不是 bilipschitz 等价的。然而，第一个多项式的任何水平曲线都等价于第二个多项式的水平曲线。