mathematics, a quasisymmetric homeomorphism between metric spaces is a map that generalizes bi-Lipschitz maps. While bi-Lipschitz maps shrink or expand...

In mathematics, quasisymmetric may refer to: Quasisymmetric functions in algebraic combinatorics Quasisymmetric maps in complex analysis or metric spaces...

for positive constants Ci. If φ is a quasisymmetric homeomorphism of the circle, then there are conformal maps f of [z| < 1 and g of |z|>1 into disjoint...

transformation. If the homeomorphism is quasisymmetric, the diffeomorphism is quasiconformal. An extension for quasisymmetric homeomorphisms had previously been...

2003). "Symmetric Functions, Noncommutative Symmetric Functions, and Quasisymmetric Functions". Acta Applicandae Mathematicae. 75 (1–3): 55–83. arXiv:math/0410468...

S2CID 123260399. Tukia, Pekka (1985). "Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group". Acta Mathematica. 154 (3–4):...

the homeomorphisms of S1 induced by quasiconformal self-maps of D are precisely the quasisymmetric homeomorphisms of S1; these are exactly homeomorphisms...

f(x) or –f(x) Exchangeable random variables – Concept in statistics Quasisymmetric function Ring of symmetric functions Symmetrization – process that converts...

orientation-preserving homeomorphism f of the circle is said to be quasisymmetric if there are positive constants a and b such that | f ( z 1 ) − f (...

that F commutes with Γ. Since F is quasiconformal, it extends to a quasisymmetric homeomorphism of the circle which also commutes with Γ. Each g ≠ id...

q^{3},\dots )} is called principal specialization. Newton's identities Quasisymmetric function Stanley, Richard P.; Fomin, Sergey P. Enumerative Combinatorics...

immediate that quasisymmetric and quasi-Möbius homeomorphisms are closed under the operations of inversion and composition. If F is quasisymmetric then it is...

Jordan domains and such that on the unit circle they differ by a given quasisymmetric homeomorphism. Several proofs are known using a variety of techniques...

Bishop, Christopher J.; Hakobyan, Hrant; Williams, Marshall (2016). "Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space"....

boundary, with the visual metric coming from the Cayley graph of G, is quasisymmetric to the standard 2-sphere. The 1998 paper of Cannon and Swenson gave...

Bruce; Shareshian, John; Wachs, Michelle L. (January 2011). "Eulerian quasisymmetric functions and cyclic sieving". Advances in Applied Mathematics. 46 (1–4):...

surjective. In metric geometry, a metric space K is called quasisymmetrically co-Hopf if every quasisymmetric embedding K → K {\displaystyle K\to K} is onto. Hopfian...