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Dynamics of multicritical circle maps (Q2082039)

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Language	Label	Description	Also known as
English	Dynamics of multicritical circle maps	scientific article

Statements

scholarly article

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Dynamics of multicritical circle maps (English)

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São Paulo Journal of Mathematical Sciences

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publication date

30 September 2022

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full work available at URL

https://arxiv.org/abs/2103.01153

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zbMATH Keywords

rigidity

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multicritical circle maps

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renormalization

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MaRDI profile type

MaRDI publication profile

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Small denominators. I. Mappings of the circumference onto itself

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On rigidity of critical circle maps

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Cohomological equations and invariant distributions for minimal circle diffeomorphisms

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The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes

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About \(C^{1}\)-minimality of the hyperbolic Cantor sets

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Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals

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Complex dynamics

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The boundary of chaos for interval mappings

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Complex bounds for real maps

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Ergodic properties of bimodal circle maps

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On the mode-locking universality for critical circle maps

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Scaling Laws for Mode Lockings in Circle Maps

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Period doubling for \(C^{2+\epsilon}\) mappings

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Sur les courbes definies par les équations différentielles à la surface du tore

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Universality in the quasiperiodic route to chaos

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On the dynamics of polynomial-like mappings

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The set of maps \(F_{a,b}:x\mapsto x+a+{b\over 2\pi}\sin(2\pi x)\) with any given rotation interval is contractible

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Real bounds and quasisymmetric rigidity of multicritical circle maps

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Beau bounds for multicritical circle maps

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On conformal distortion and Sullivan’s sector theorem

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Asymptotic rigidity of scaling ratios for critical circle mappings

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Real bounds and Lyapunov exponents

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There are no σ-finite absolutely continuous invariant measures for multicritical circle maps <sup>*</sup>

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Rigidity of critical circle mappings. I

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Rigidity of critical circle mappings II

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Global hyperbolicity of renormalization for \(C^r\) unimodal mappings

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Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents

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Decay of geometry for unimodal maps: Negative Schwarzian case

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Singular measures in circle dynamics

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Critical circle maps near bifurcation

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Rigidity of critical circle maps

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Rigidity of smooth critical circle maps

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A C<sup>∞</sup> Denjoy counterexample

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Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)

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Topological conjugacy of circle diffeomorphisms

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Critical Behavior of a KAM surface. I: Empirical results

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Sigma-finite invariant measures for smooth mappings of the circle

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Universal estimates for critical circle mappings

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RENORMALIZATION AND RIGIDITY

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Robust rigidity for circle diffeomorphisms with singularities

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Herman's theory revisited

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Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps

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Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture

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Teichmüller Space of Fibonacci Maps

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A renormalization approach to invariant circles in area-preserving maps

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The periodic points of renormalization

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Julia-Fatou-Sullivan theory for real one-dimensional dynamics

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\(C^1\)-minimal subsets of the circle

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Complex Dynamics and Renormalization (AM-135)

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Renormalization and 3-Manifolds Which Fiber over the Circle

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Rigidity and inflexibility in conformal dynamics

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Rigidity and renormalization in one dimensional dynamical systems

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A structure theorem in one dimensional dynamics

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Dynamics in One Complex Variable. (AM-160)

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Rotation intervals for a class of maps of the real line into itself

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Universal properties of the transition from quasi-periodicity to chaos in dissipative systems

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A Denjoy counterexample for circle maps with an half-critical point

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On the Julia set of a typical quadratic polynomial with a Siegel disk

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Global phase space universality, smooth conjugacies and renormalisation. I. The C<sup>1+ α</sup>case

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Existence, nonexistence and universal breakdown of dissipative golden invariant tori. I. Golden critical circle maps

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The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets

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Smooth conjugacy and renormalisation for diffeomorphisms of the circle

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Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains

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Rational rotation numbers for maps of the circle

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Hausdorff dimension of invariant measures of multicritical circle maps

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Hyperbolicity of the renormalization operator for critical $\mathcal{C}^{r}$ circle mappings

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Complex bounds for renormalization of critical circle maps

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The attractor of renormalization and rigidity of towers of critical circle maps

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Hyperbolicity of renormalization of critical circle maps

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Renormalization horseshoe for critical circle maps

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Renormalization of unicritical analytic circle maps

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Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne

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Dynamics of cubic Siegel polynomials

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Identifiers

zbMATH Open document ID

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10.1007/s40863-021-00236-1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2082039

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