Mitsuhiro Shishikura

Mitsuhiro Shishikura's AcademicInfluence.com Rankings

Mathematics

#3489

World Rank

#5136

Historical Rank

Measure Theory

#4945

World Rank

#5816

Historical Rank

mathematics Degrees

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Mathematics

Mitsuhiro Shishikura's Degrees

PhD Mathematics Kyoto University

Why Is Mitsuhiro Shishikura Influential?

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According to Wikipedia, Mitsuhiro Shishikura is a Japanese mathematician working in the field of complex dynamics. He is professor at Kyoto University in Japan. Shishikura became internationally recognized for two of his earliest contributions, both of which solved long-standing open problems.In his Master's thesis, he proved a conjecture of Fatou from 1920 by showing that a rational function nonrepelling periodic cycles.He proved that the boundary of the Mandelbrot set has Hausdorff dimension two, confirming a conjecture stated by Mandelbrot and Milnor.For his results, he was awarded the Salem Prize in 1992, and the Iyanaga Spring Prize of the Mathematical Society of Japan in 1995.

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Mitsuhiro Shishikura'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

The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets (1991) (270)
On the quasiconformal surgery of rational functions (1987) (226)
A Family of Cubic Rational Maps and Matings of Cubic Polynomials (2000) (57)
The Connectivity of the Julia Set and Fixed Points (2009) (55)
The renormalization for parabolic fixed points and their perturbation (2006) (52)
The Mandelbrot Set, Theme and Variations: Bifurcation of parabolic fixed points (2000) (42)
The Mandelbrot Set, Theme and Variations: An alternative proof of Mañé's theorem on non-expanding Julia sets (2000) (36)
On a theorem of M. Rees for the matings of polynomials (2000) (35)
Trees associated with the configuration of Herman rings (1989) (32)
Exponential Thurston maps and limits of quadratic differentials (2008) (31)
Transcendental Dynamics and Complex Analysis: On multiply connected wandering domains of entire functions (2008) (29)
Wandering domains for entire functions of finite order in the Eremenko–Lyubich class (2018) (27)
The boundary of the Mandelbrot set has Hausdor dimension two (1994) (26)
Linearity of the exceptional set for maps of Pk(C) (2004) (23)
Satellite renormalization of quadratic polynomials (2015) (18)
Tsunami source of the unusual AD 869 earthquake off Miyagi, Japan, inferred from tsunami deposits and numerical simulation of inundation (2007) (16)
Topological, Geometric and Complex Analytic Properties of Julia Sets (1995) (14)
The high type quadratic Siegel disks are Jordan domains (2016) (11)
Minimal sets of certain annular homeomorphisms (2002) (10)
A Topological Characterization of Postsingularly Finite Exponential Maps and Limits of Quadratic Differentials (2005) (9)
SURGERY OF COMPLEX ANALYTIC DYNAMICAL SYSTEMS (1985) (9)
Renormalization for Near-Parabolic Fixed Points of Holomorphic Maps(Applications of Renormalization Group Methods in Mathematical Sciences) (2006) (9)
Conformality of quasiconformal mappings at a point, revisited (2018) (8)
Complex dynamics and quasiconformal mappings (2006) (2)
A NEW TREE ASSOCIATED WITH HERMAN RINGS (Complex dynamics and related fields) (2002) (1)
Late Holocene marine terraces along the northeastern Japan Sea: Evidence of coseismic uplift associated with large earthquakes beneath an active fold and thrust belt (2006) (1)
CORRECTIONS FOR QUASICONFORMAL FOLDING (2018) (1)
RENORMALIZATION IN COMPLEX DYNAMICS (Applications of Renormalization Group Methods in Mathematical Sciences) (2002) (0)
CONFIGURATION OF HERMAN RINGS AND DYNAMICAL SYSTEMS ON TREES(Fractals and Related Topics) (1987) (0)
Great earthquakes and slow slip events along the Sagami trough and outline of the Kanto Asperity Project (2010) (0)
Recurrent Coastal Uplift Events in Eastern Hokkaido, along Kuril Subduction Zone, as Inferred from Litho- and Biostratigraphy (2003) (0)
Rigidity of quadratic polynomials (Complex dynamics and related fields) (2002) (0)
Kanto Asperity Project - A New Concept - (Invited) (2009) (0)
Smoothness of hairs for some entire functions (Dynamical Systems : Theories to Applications and Applications to Theories) (2011) (0)
Combinatorial representation of irrational rotations and invariant sets around irrationally indifferent fixed points (Dynamical Systems : with Hyperbolicity and with Large Freedom) (2010) (0)
Doctoral Forum of Mathematics between Fudan and Kyoto Universities (0)
Smoothness of hairs for some transcendental entire functions (Research on Complex Dynamics and Related Fields) (2011) (0)
PARABOLIC RENORMALIZATION AND ITS CONSEQUENCES(Complex Dynamics and its Related Topics) (2007) (0)
CONSTRUCTION OF DOUBLY-CONNECTED WANDERING DOMAINS (Complex Dynamics) (2005) (0)

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Mitsuhiro Shishikura's Academic­Influence.com Rankings