Definition of Bilipschitz. Meaning of Bilipschitz. Synonyms of Bilipschitz

- is called K-bilipschitz (also written K-bi-Lipschitz). We say f is bilipschitz or bi-Lipschitz to mean there exists such a K. A bilipschitz mapping is...
- a uniformly continuous inverse). They are called bilipschitz homeomorphic if there is a bilipschitz bijection between them (i.e., a Lipschitz bijection...
- word metrics. However, finitely generated word metrics are unique up to bilipschitz equivalence: if S {\displaystyle S} , T {\displaystyle T} are two symmetric...
- The stretch factor (i.e., bilipschitz constant) of an embedding measures the factor by which the embedding distorts distances. Suppose that one metric...
- {\displaystyle d_{1}} and d 2 {\displaystyle d_{2}} on X are strongly or bilipschitz equivalent or uniformly equivalent if and only if there exist positive...
- T)} depend on the generating set T. However, any two such metrics are bilipschitz equivalent in the following sense: for finite symmetric generating sets...
- domains, which are domains whose boundary is locally flattable by a bilipschitz mapping. Lipschitz domains in the sense above are sometimes called strongly...
- space and satisfies a (1, 1)-Poincaré inequality. FQ does not have a bilipschitz embedding into any Euclidean space. Heinonen, Juha; Koskela, Pekka; Shanmugalingam...