Shen Weixiao | Academic Influence

Shen Weixiao's AcademicInfluence.com Rankings

Shen Weixiao

Mathematics

#8268

World Rank

#11228

Historical Rank

Group Theory

#554

World Rank

#652

Historical Rank

Number Theory

#534

World Rank

#658

Historical Rank

Algebra

#807

World Rank

#1046

Historical Rank

mathematics Degrees

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Mathematics

Shen Weixiao's Degrees

PhD Mathematics Peking University
Masters Mathematics Peking University
Bachelors Mathematics Peking University

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Why Is Shen Weixiao Influential?

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According to Wikipedia, Shen Weixiao is a Chinese mathematician, specializing in dynamical systems . Shen graduated from the University of Science and Technology of China in 1995. He received his Ph.D. from the University of Tokyo in 2001 with thesis On the metric property of multimodal interval maps and density of axiom A under the supervision of Mitsuhiro Shishikura. Shen was previously a professor at the National University of Singapore. He is currently a professor at Fudan University.

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Shen Weixiao's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Rigidity for real polynomials (2007) (97)
Density of hyperbolicity in dimension one (2007) (89)
Hausdorff dimension of the graphs of the classical Weierstrass functions (2015) (53)
Large derivatives, backward contraction and invariant densities for interval maps (2008) (53)
Statistical properties of one-dimensional maps under weak hyperbolicity assumptions (2010) (47)
Combinatorial rigidity for unicritical polynomials (2005) (47)
On the metric properties of multimodal interval maps and C2 density of Axiom A (2004) (34)
Invariant Measures Exist Without a Growth Condition (2003) (32)
Summability implies Collet–Eckmann almost surely (2011) (24)
On stochastic stability of expanding circle maps with neutral fixed points (2012) (21)
The Lyapunov exponent of holomorphic maps (2013) (21)
PARAPUZZLE OF THE MULTIBROT SET AND TYPICAL DYNAMICS OF UNIMODAL MAPS (2008) (20)
Existence of unique SRB-measures is typical for real unicritical polynomial families (2006) (19)
Decay of geometry for unimodal maps: An elementary proof (2006) (19)
On the measurable dynamics of real rational functions (2003) (19)
Bounds for One-dimensional Maps without Inflection Critical Points (2003) (15)
On stochastic stability of non‐uniformly expanding interval maps (2011) (14)
Hausdorff dimension of Cantor attractors in one-dimensional dynamics (2008) (12)
Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps (2019) (11)
Smooth conjugacy between S-unimodal maps (2006) (11)
On non-uniform hyperbolicity assumptions in one-dimensional dynamics (2009) (10)
Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof (2017) (9)
Real $C^k$ Koebe principle (2005) (8)
Dimensions of the Julia sets of rational maps with the backward contraction property (2008) (8)
A Dichotomy for the Weierstrass-type functions (2020) (7)
RESEARCH ANNOUNCEMENT : STATISTICAL PROPERTIES OF ONE-DIMENSIONAL MAPS UNDER WEAK HYPERBOLICITY ASSUMPTIONS (Integrated Research on Complex Dynamics and Its Related Fields) (2010) (7)
The topological complexity of Cantor attractors for unimodal interval maps (2012) (5)
Topological Invariance of a Strong Summability Condition in One-Dimensional Dynamics (2013) (5)
Analytic skew products of quadratic polynomials over circle expanding maps (2012) (5)
Monotonicity of entropy and positively oriented transversality for families of interval maps (2016) (5)
Decay of correlations for Fibonacci unimodal interval maps (2018) (4)
Primitive tuning via quasiconformal surgery (2020) (4)
L ∞ -ESTIMATION OF GENERALIZED THUE-MORSE TRIGONOMETRIC POLYNOMIALS AND ERGODIC MAXIMIZATION (2020) (3)
L ∞ -ESTIMATION OF GENERALIZED THUE-MORSE TRIGONOMETRIC POLYNOMIALS AND ERGODIC MAXIMIZATION (2020) (3)
Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps (2012) (3)
An improved real Ck Koebe principle (2009) (3)
Bohr chaoticity of topological dynamical systems (2021) (2)
Low complexity of optimizing measures over an expanding circle map (2022) (2)
On parabolic external maps (2016) (2)
On Poincaré Series of Unicritical Polynomials at the Critical Point (2012) (2)
The topological complexity of Cantor attractors in one-dimensional dynamics (2012) (1)
Local Connectivity of the Julia Set of Real Polynomials (after Levin and van Strien) (1997) (1)
L^\infty -estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization (2019) (1)
The Lyapunov exponent of holomorphic maps (2015) (0)
ON STABILITY OF ONE-DIMENSIONAL DYNAMICS (2013) (0)
On Poincaré Series of Unicritical Polynomials at the Critical Point (2013) (0)
Multifractal Analysis of generalized Thue-Morse trigonometric polynomials (2022) (0)
Advances and Perspectives in Ergodic Theory Celebrating Dynamics on the occasion (2014) (0)
The lower Lyapunov exponent of holomorphic maps (2013) (0)
Integrated Research on Complex Dynamics and its Related Fields (2010) (0)
On the qc rigidity of real polynomials (2018) (0)
Preface (2020) (0)
Decay of geometry for unimodal maps: The C2 case (2009) (0)
Decay of correlations for Fibonacci unimodal interval maps (2017) (0)
A pr 2 01 6 On parabolic external maps (0)
Title On the qc rigidity of real polynomials (Comprehensive Research on Complex Dynamical Systems and Related Fields) (2000) (0)
On unimodal maps with critical order 2 + ε (2006) (0)
Transversality in the setting of hyperbolic and parabolic maps (2019) (0)
Recent developments in interval dynamics 1 2 (2014) (0)

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