Weixiao Shen

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All published works

Action	Title	Year	Authors
+	Low Complexity of Optimizing Measures Over an Expanding Circle Map	2024	R.H. Gao Weixiao Shen
+ PDF Chat	Multifractal analysis of generalized Thue-Morse trigonometric polynomials	2023	Aihua Fan Jörg Schmeling Weixiao Shen
+ PDF Chat	Bohr chaoticity of topological dynamical systems	2022	Aihua Fan Shilei Fan Valery V. Ryzhikov Weixiao Shen
+	Low complexity of optimizing measures over an expanding circle map	2022	Rui Gao Weixiao Shen
+	The wandering domain problem for attracting polynomial skew products	2022	Zhuchao Ji Weixiao Shen
+	Multifractal Analysis of generalized Thue-Morse trigonometric polynomials	2022	Aihua Fan Jörg Schmeling Weixiao Shen
+ PDF Chat	Primitive tuning via quasiconformal surgery	2021	Weixiao Shen Yimin Wang
+ PDF Chat	A Dichotomy for the Weierstrass-type functions	2021	Haojie Ren Weixiao Shen
+	Bohr chaoticity of topological dynamical systems	2021	Aihua Fan Shilei Fan Valery V. Ryzhikov Weixiao Shen
+ PDF Chat	L^\infty -estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization	2020	Aihua Fan Joerg Schmeling Weixiao Shen
+ PDF Chat	Transversality in the setting of hyperbolic and parabolic maps	2020	Genadi Levin Weixiao Shen Sebastian van Strien
+	Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps	2020	Genadi Levin Weixiao Shen Sebastian van Strien
+	Primitive tuning via quasiconformal surgery	2020	Weixiao Shen Yimin Wang
+	Transversality in the setting of hyperbolic and parabolic maps	2019	Genadi Levin Weixiao Shen Sebastian van Strien
+ PDF Chat	Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof	2019	Genadi Levin Weixiao Shen Sebastian van Strien
+	Transversality in the setting of hyperbolic and parabolic maps	2019	Genadi Levin Weixiao Shen Sebastian van Strien
+ PDF Chat	Hausdorff dimension of the graphs of the classical Weierstrass functions	2017	Weixiao Shen
+ PDF Chat	On parabolic external maps	2017	Luna Lomonaco Carsten Lunde Petersen Weixiao Shen
+	Transversality for critical relations of families of rational maps: an elementary proof	2017	Genadi Levin Weixiao Shen Sebastian van Strien
+	Monotonicity of entropy and positively oriented transversality for families of interval maps	2016	Genadi Levin Weixiao Shen Sebastian van Strien
+ PDF Chat	The Lyapunov exponent of holomorphic maps	2015	Genadi Levin Feliks Przytycki Weixiao Shen
+	The topological complexity of Cantor attractors for unimodal interval maps	2015	Simin Li Weixiao Shen
+	Hausdorff dimension of the graphs of the classical Weierstrass functions	2015	Weixiao Shen
+ PDF Chat	Statistical properties of one-dimensional maps under weak hyperbolicity assumptions	2014	Juan Rivera‐Letelier Weixiao Shen
+ PDF Chat	Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps	2013	Rui Gao Weixiao Shen
+ PDF Chat	On stochastic stability of expanding circle maps with neutral fixed points	2013	Weixiao Shen Sebastian van Strien
+	The lower Lyapunov exponent of holomorphic maps	2013	Genadi Levin Feliks Przytycki Weixiao Shen
+ PDF Chat	On stochastic stability of non-uniformly expanding interval maps	2013	Weixiao Shen
+ PDF Chat	On Poincaré Series of Unicritical Polynomials at the Critical Point	2013	Juan Rivera‐Letelier Weixiao Shen
+ PDF Chat	Summability implies Collet–Eckmann almost surely	2013	Bing Gao Weixiao Shen
+ PDF Chat	Analytic skew products of quadratic polynomials over circle expanding maps	2012	Wen Huang Weixiao Shen
+	The topological complexity of Cantor attractors in one-dimensional dynamics	2012	Simin Li Weixiao Shen
+	Topological Invariance of a Strong Summability Condition in One-Dimensional Dynamics	2012	Huaibin Li Weixiao Shen
+	The topological complexity of Cantor attractors for unimodal interval maps	2012	Simin Li Weixiao Shen
+	Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps	2012	Rui Gao Weixiao Shen
+	On Poincare series of unicritical polynomials at the critical point	2012	Juan Rivera‐Letelier Weixiao Shen
+	On stochastic stability of expanding circle maps with neutral fixed points	2012	Weixiao Shen Sebastian van Strien
+ PDF Chat	Parapuzzle of the multibrot set and typical dynamics of unimodal maps	2010	Artur Avila Mikhail Lyubich Weixiao Shen
+	Research announcement: Statistical properties of one-dimensional maps under weak hyperbolicity assumptions (複素力学系とその関連分野の総合的研究)	2010	Juan Rivera‐Letelier Weixiao Shen
+ PDF Chat	On non-uniform hyperbolicity assumptions in one-dimensional dynamics	2010	Huaibin Li Weixiao Shen
+	Statistical properties of one-dimensional maps under weak hyperbolicity assumptions	2010	Juan Rivera‐Letelier Weixiao Shen
+ PDF Chat	Combinatorial rigidity for unicritical polynomials	2009	Artur Avila Jeremy Kahn Mikhail Lyubich Weixiao Shen
+	An improved real <i>C</i><sup><i>k</i></sup> Koebe principle	2009	Simin Li Weixiao Shen
+	Decay of geometry for unimodal maps: The C2 case	2009	Weixiao Shen
+	Large derivatives, backward contraction and invariant densities for interval maps	2008	Henk Bruin Juan Rivera‐Letelier Weixiao Shen Sebastian van Strien
+ PDF Chat	Dimensions of the Julia sets of rational maps with the backward contraction property	2008	Huaibin Li Weixiao Shen
+	Parapuzzle of the Multibrot set and typical dynamics of unimodal maps	2008	Artur Avila Mikhail Lyubich Weixiao Shen
+	Hausdorff dimension of Cantor attractors in one-dimensional dynamics	2007	Simin Li Weixiao Shen
+ PDF Chat	Density of hyperbolicity in dimension one	2007	Oleg Kozlovski Weixiao Shen Sebastian van Strien
+ PDF Chat	Rigidity for real polynomials	2007	Oleg Kozlovski Weixiao Shen Sebastian van Strien
+	Smooth conjugacy between S-unimodal maps	2006	Simin Li Weixiao Shen
+ PDF Chat	Decay of geometry for unimodal maps: An elementary proof	2006	Weixiao Shen
+	On unimodal maps with critical order 2+ε	2006	Simin Li Weixiao Shen
+ PDF Chat	Real C<sup>k</sup>Koebe principle	2005	Weixiao Shen Mike Todd
+	Combinatorial rigidity for unicritical polynomials	2005	Artur Avila Jeremy Kahn Mikhail Lyubich Weixiao Shen
+	On the metric properties of multimodal interval maps and C 2 density of Axiom A	2004	Weixiao Shen
+ PDF Chat	Invariant Measures Exist Without a Growth Condition	2003	Henk Bruin Weixiao Shen Sebastian van Strien
+ PDF Chat	On the measurable dynamics of real rational functions	2003	Weixiao Shen
+	Bounds for One-dimensional Maps without Inflection Critical Points	2003	Weixiao Shen
+	On the qc rigidity of real polynomials (Comprehensive Research on Complex Dynamical Systems and Related Fields)	2000	Weixiao Shen
+	Local Connectivity of the Julia Set of Real Polynomials (after Levin and van Strien)	1997	Weixiao Shen

Common Coauthors

Coauthor	Papers Together
Sebastian van Strien	13
Genadi Levin	9
Simin Li	7
Juan Rivera‐Letelier	6
Aihua Fan	5
Mikhail Lyubich	4
Artur Avila	4
Jörg Schmeling	3
Huaibin Li	3
Rui Gao	2
Yimin Wang	2
Feliks Przytycki	2
Jeremy Kahn	2
Henk Bruin	2
Valery V. Ryzhikov	2
Oleg Kozlovski	2
Luna Lomonaco	1
Mike Todd	1
Zhuchao Ji	1
R.H. Gao	1
Carsten Lunde Petersen	1
Haojie Ren	1
Wen Huang	1
Rui Gao	1
Bing Gao	1
Shilei Fan	1
Shilei Fan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	One-Dimensional Dynamics	2005	Welington de Melo Sebastian van Strien	15
+	Real bounds, ergodicity and negative Schwarzian for multimodal maps	2004	Sebastian van Strien Edson Vargas	14
+	Invariant measures exist under a summability condition for unimodal maps	1991	Tomasz Nowicki Sebastian van Strien	11
+ PDF Chat	Hyperbolicity, sinks and measure in one dimensional dynamics	1985	Ricardo Mañé	11
+ PDF Chat	Regular or stochastic dynamics in real analytic families of unimodal maps	2003	Artur Avila Mikhail Lyubich Welington de Melo	11
+ PDF Chat	Dynamics of quadratic polynomials, I–II	1997	Mikhail Lyubich	11
+	Large derivatives, backward contraction and invariant densities for interval maps	2008	Henk Bruin Juan Rivera‐Letelier Weixiao Shen Sebastian van Strien	10
+ PDF Chat	A connecting lemma for rational maps satisfying a no-growth condition	2007	Juan Rivera‐Letelier	10
+ PDF Chat	Invariant Measures Exist Without a Growth Condition	2003	Henk Bruin Weixiao Shen Sebastian van Strien	9
+ PDF Chat	Rigidity for real polynomials	2007	Oleg Kozlovski Weixiao Shen Sebastian van Strien	9
+	Complex Dynamics and Renormalization	1994	Curtis T. McMullen	9
+ PDF Chat	The Fibonacci unimodal map	1993	Mikhail Lyubich John Milnor	8
+ PDF Chat	Distortion results and invariant Cantor sets of unimodal maps	1994	Marco Martens	8
+ PDF Chat	On the dynamics of polynomial-like mappings	1985	Adrien Douady John H. Hubbard	8
+ PDF Chat	Getting Rid of the Negative Schwarzian Derivative Condition	2000	Oleg Kozlovski	8
+	Holomorphic Removability of Julia Sets	1998	Jeremy Kahn	8
+	Dynamics in one complex variable	2000	John Milnor	8
+ PDF Chat	Julia-Fatou-Sullivan theory for real one-dimensional dynamics	1992	Marco Martens W. de Melo Sebastian van Strien	7
+	Local connectivity of Julia sets: expository lectures	1992	John Milnor	7
+	Combinatorics, Geometry and Attractors of Quasi-Quadratic Maps	1994	Mikhail Lyubich	7
+ PDF Chat	Positive Liapunov exponents and absolute continuity for maps of the interval	1983	Pierre Collet Jean-Pierre Eckmann	7
+	On the dynamics of rational maps	1983	Ricardo Mañé Paulo Sad Dennis Sullivan	7
+ PDF Chat	On an analytic approach to the Fatou conjecture	2002	Genadi Levin	7
+	On the concept of attractor	1985	John Milnor	6
+	Quasiconformal Homeomorphisms and Dynamics III. The Teichmüller Space of a Holomorphic Dynamical System	1998	Curtis T. McMullen Dennis Sullivan	6
+	On iterated maps of the interval	1988	John Milnor William P. Thurston	6
+ PDF Chat	Existence of unique SRB-measures is typical for real unicritical polynomial families	2006	Henk Bruin Weiming Shen Sebastian van Strien	6
+ PDF Chat	Non-uniform hyperbolicity in complex dynamics	2008	Jacek Graczyk Stanislav Smirnov	6
+ PDF Chat	Holomorphic families of injections	1986	Lipman Bers H. L. Royden	6
+ PDF Chat	A proof of Thurston's topological characterization of rational functions	1993	Adrien Douady John H. Hubbard	6
+ PDF Chat	Misiurewicz maps unfold generically (even if they are critically non-finite)	2000	Sebastian van Strien	6
+	Generic Hyperbolicity in the Logistic Family	1997	Jacek Graczyk Grzegorz Świątek	6
+ PDF Chat	Absolutely continuous invariant measures for one-parameter families of one-dimensional maps	1981	Michael Jakobson	5
+ PDF Chat	On non-uniform hyperbolicity assumptions in one-dimensional dynamics	2010	Huaibin Li Weixiao Shen	5
+ PDF Chat	Iterations of holomorphic Collet-Eckmann maps: conformal and invariant measures. Appendix: On non-renormalizable quadratic polynomials	1998	Feliks Przytycki	5
+	Dynamics in one complex variable: introductory lectures	1992	John Milnor	5
+ PDF Chat	Measurable dynamics of $S$-unimodal maps of the interval	1991	Alexander Blokh Mikhail Lyubich	5
+ PDF Chat	Rigidity of critical circle mappings I	1999	Edson de Faria Welington de Melo	5
+ PDF Chat	Local Connectivity of the Julia Set of Real Polynomials	1998	Genadi Levin Sebastian van Strien	5
+ PDF Chat	Multipliers of periodic orbits in spaces of rational maps	2010	Genadi Levin	5
+ PDF Chat	Dynamics of quadratic polynomials: complex bounds for real maps	1997	Mikhail Lyubich Michael Yampolsky	5
+ PDF Chat	Local connectivity of Julia sets: expository lectures	2000	John Milnor	5
+ PDF Chat	Local connectivity of Julia sets for unicritical polynomials	2009	Jeremy Kahn Mikhail Lyubich	4
+	Equivalence and topological invariance of conditions for non-uniform hyperbolicity in the iteration of rational maps	2003	Feliks Przytycki Juan Rivera‐Letelier Stanislav Smirnov	4
+ PDF Chat	The quasi-additivity law in conformal geometry	2009	Jeremy Kahn Mikhail Lyubich	4
+	Positive Lyapunov exponents in families of one dimensional dynamical systems	1993	Masato Tsujii	4
+ PDF Chat	Bounds for maps of an interval with one critical point of inflection type. II.	2000	Genadi Levin Sebastian van Strien	4
+ PDF Chat	Holomorphic motions and polynomial hulls	1991	Zbigniew Słodkowski	4
+	Fibonacci maps re(aℓ)visited	1995	Gerhard Keller Tomasz Nowicki	4
+	Measure of minimal sets of polymodal maps	1996	Edson Vargas	4