Quasisymmetric rigidity of multi-critical circle maps

Edson de Faria (USP)

A recent study by T. Clark and S. van Strien establishes the quasisymmetric rigidty of one-dimensional maps in a fairly general context comprising both multi-modal interval maps and multi-critical circle maps (all critical points being non-at in both cases). Their proof is rather involved, and relies heavily on complex analytic tools. My aim in this talk is to show that, in the case of multi-critical circle maps, such quasisymmetric rigidity result can be proven by purely real variable methods. The talk is based on joint work (in progress) with Gabriela Estevez.


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