Titlebook: Dynamics of Circle Mappings; Edson de Faria,Pablo Guarino Textbook 2024Latest edition The Editor(s) (if applicable) and The Author(s), und

resuscitation

蓋他為秘密

Quasisymmetric RigidityIn addition to the real bounds, another important preliminary step towards establishing the . of multicritical circle maps (to be examined in Sect. .) is to answer the question: When are two topologically conjugate multicritical circle maps . conjugate? This question pertains to the general study of . of one-dimensional systems.

PAGAN

Ergodic AspectsIn this chapter we examine multicritical circle maps from the point of view of measurable dynamics. We have seen in Theorem . that every homeomorphism of the circle without periodic points is uniquely ergodic. In particular, every multicritical circle map . with irrational rotation number is uniquely ergodic.

zonules

粗糙

Circumscribe

Quasiconformal DeformationsThis chapter should be regarded as a second intermezzo (after Chap. .). Here we briefly review some standard facts about the theory of quasiconformal mappings in the complex plane and the Riemann sphere. In such a short exposition we can hardly do justice to this beautiful and powerful theory.

領(lǐng)巾

悲觀

Renormalization: Holomorphic MethodsIn this final chapter we will survey some of the complex-analytic ideas that play a decisive role in the theory of (multi)critical circle maps.

entrance

Offset