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Local Connectivity of the Mandelbrot Set at Some Satellite Parameters of Bounded Type

Geometric and functional analysis, 2023-08, Vol.33 (4), p.912-1047

2023

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Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters

Journal of the American Mathematical Society, 2020-07, Vol.33 (3), p.653-733

2020

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Lee–Yang–Fisher Zeros for the DHL and 2D Rational Dynamics, II. Global Pluripotential Interpretation

The Journal of geometric analysis, 2020, Vol.30 (1), p.777-833

2020

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On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections

Conformal geometry and dynamics, 2023-02, Vol.27 (1), p.1-54

2023

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Almost Every Real Quadratic Map Is Either Regular or Stochastic

Annals of mathematics, 2002-07, Vol.156 (1), p.1-78

Lyubich, Mikhail

2002

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Classification of invariant Fatou components for dissipative Hénon maps

Geometric and functional analysis, 2014, Vol.24 (3), p.887-915

2014

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Hedgehogs in higher dimensions and their applications

Astérisque, 2020, Vol.416 (416), p.213-251

2020

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Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of (C^2,0)

Astérisque, 2020, Vol.416 (416), p.193-211

2020

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Stability and bifurcations for dissipative polynomial automorphisms of $${{\mathbb {C}}^2}$$ C 2

Inventiones mathematicae, 2015-05, Vol.200 (2), p.439-511

2015

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Lebesgue measure of Feigenbaum Julia sets

Annals of mathematics, 2022-01, Vol.195 (1)

2022

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Frontiers in complex dynamics: in celebration of John Milnor's 80th birthday

1, 2014

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Combinatorial rigidity for unicritical polynomials

Annals of mathematics, 2009-09, Vol.170 (2), p.783-797

2009

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Dynamics of quadratic polynomials, III Parapuzzle and SBR measures

Astérisque, 2018-11

LYUBICH, Mikhail

2018

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Structure of partially hyperbolic Hénon maps

Journal of the European Mathematical Society : JEMS, 2021-06, Vol.23 (9), p.3075-3128

2021

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Regular or stochastic dynamics in real analytic families of unimodal maps

Inventiones mathematicae, 2003-12, Vol.154 (3), p.451-550

2003

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Quasisymmetries of the Basilica and the Thompson Group

Geometric and functional analysis, 2018-06, Vol.28 (3), p.727-754, Article 727

2018

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Quasisymmetries of Sierpiński carpet Julia sets

Advances in mathematics (New York. 1965), 2016-10, Vol.301, p.383-422

2016

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Lee–Yang zeros for the DHL and 2D rational dynamics, I. Foliation of the physical cylinder

Journal de mathématiques pures et appliquées, 2017-05, Vol.107 (5), p.491-590

2017

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Teichmüller Space of Fibonacci Maps

New Trends in One-Dimensional Dynamics, 2019, Vol.285, p.221-237

2019

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Stability and bifurcations for dissipative polynomial automorphisms of

Inventiones mathematicae, 2015-05, Vol.200 (2), p.439-511

2015

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

Publications mathématiques. Institut des hautes études scientifiques, 2011-11, Vol.114 (1), p.171-223

2011

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Schwarz reflections and anti-holomorphic correspondences

Advances in mathematics (New York. 1965), 2021-07, Vol.385, p.107766, Article 107766

2021

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Stability and bifurcations for dissipative polynomial automorphisms of C2

Inventiones mathematicae, 2015, Vol.200 (2), p.439-511

2015

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Stability and bifurcations for dissipative polynomial automorphisms of C2

Inventiones mathematicae, 2014-09, Vol.200, p.439-511

2014

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Local Connectivity of Julia Sets for Unicritical Polynomials

Annals of mathematics, 2009-07, Vol.170 (1), p.413-426

2009

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Local Connectivity of the Mandelbrot Set at Some Satellite Parameters of Bounded Type

Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters

Lee–Yang–Fisher Zeros for the DHL and 2D Rational Dynamics, II. Global Pluripotential Interpretation

On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections

Almost Every Real Quadratic Map Is Either Regular or Stochastic

Classification of invariant Fatou components for dissipative Hénon maps

Hedgehogs in higher dimensions and their applications

Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of (C^2,0)

Stability and bifurcations for dissipative polynomial automorphisms of $${{\mathbb {C}}^2}$$ C 2

Lebesgue measure of Feigenbaum Julia sets

Frontiers in complex dynamics: in celebration of John Milnor's 80th birthday

Combinatorial rigidity for unicritical polynomials

Dynamics of quadratic polynomials, III Parapuzzle and SBR measures

Structure of partially hyperbolic Hénon maps

Regular or stochastic dynamics in real analytic families of unimodal maps

Quasisymmetries of the Basilica and the Thompson Group

Quasisymmetries of Sierpiński carpet Julia sets

Lee–Yang zeros for the DHL and 2D rational dynamics, I. Foliation of the physical cylinder

Teichmüller Space of Fibonacci Maps

Stability and bifurcations for dissipative polynomial automorphisms of

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

Schwarz reflections and anti-holomorphic correspondences

Stability and bifurcations for dissipative polynomial automorphisms of C2

Stability and bifurcations for dissipative polynomial automorphisms of C2

Local Connectivity of Julia Sets for Unicritical Polynomials

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