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This recognition is evidenced e.g. by the prizes he received (see below) as well as his invitation as an invited speaker in the Real & Complex
Analysis Section of the 1994
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409:, in: Transcendental dynamics and complex analysis, London Math. Soc. Lecture Note Ser., 348, Cambridge Univ. Press, Cambridge, 2008, 217â250
396:, in: Computers in Geometry and Topology, ed. M. C. Tangora, Lect. Notes in Pure and Appl. Math., Marcel Dekker, Vol. 114 (1989), 211-257
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Shishikura became internationally recognized for two of his earliest contributions, both of which solved long-standing
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On the dynamics of iterated maps V: Conjecture that the boundary of the M-set has a fractal dimension equal to 2
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Shishikura, Mitsuhiro (1998). "The
Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets".
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Cheraghi, Davoud; Shishikura, Mitsuhiro (2015). "Satellite renormalization of quadratic polynomials".
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Shishikura, Mitsuhiro; Yang, Fei (2016). "The high type quadratic Siegel disks are Jordan domains".
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One of the main tools pioneered by
Shishikura and used throughout his work is that of
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The renormalization of parabolic fixed points and their perturbation
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Some entire functions with multiply-connected wandering domains
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A proof of the regularity of the boundaries of the high type
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http://www.mathunion.org/o/ICM/Speakers/SortedByCongress.php
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On multiply connected wandering domains of entire functions
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Ann. Sci. Ăcole Norm. Sup. (4) 20 (1987), no. 1, 1â29.
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On the quasiconformal surgery of rational functions,
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Self-similarity and hairiness in the
Mandelbrot set
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at some infinitely satellite renormalizable points.
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68:In his Master's thesis, he proved a conjecture of
422:, Ergodic Theory Dynam. Systems 5 (1985), 163-169
437:http://www.math.kyoto-u.ac.jp/~mitsu/pararenorm/
520:Academic staff of Tokyo Institute of Technology
201:'s recent proof of the existence of polynomial
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158:in 1992, and the Iyanaga Spring Prize of the
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183:, answering a question of Baker from 1985;
165:More recent results of Shishikura include
525:Academic staff of the University of Tokyo
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215:A proof of the local connectivity of the
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262:International Congress of Mathematicians
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142:two, confirming a conjecture stated by
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545:21st-century Japanese mathematicians
540:20th-century Japanese mathematicians
154:For his results, he was awarded the
134:He proved that the boundary of the
530:Academic staff of Kyoto University
16:Japanese mathematician (born 1960)
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280:"Sur les Ă©quations fonctionelles"
240:His doctoral students include
191:near-parabolic renormalization
174:transcendental entire function
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405:M. Kisaka and M. Shishikura,
213:(in joint work with Cheraghi)
160:Mathematical Society of Japan
72:from 1920 by showing that a
431:H. Inou and M. Shishikura,
170:(in joint work with Kisaka)
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229:of quadratic polynomials.
223:(in joint work with Yang)
187:(in joint work with Inou)
43:, born November 27, 1960)
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49:working in the field of
535:Kyoto University alumni
193:which is essential in
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120:{\displaystyle 2d-2\,}
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329:Annals of Mathematics
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53:. He is professor at
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40:Shishikura Mitsuhiro
28:Mitsuhiro Shishikura
23:Mitsuhiro Shishikura
496:at KyĆto University
287:Bull. Soc. Math. Fr
205:of positive planar
172:the existence of a
140:Hausdorff dimension
90:{\displaystyle d\,}
435:, preprint, 2008,
300:10.24033/bsmf.1008
278:Fatou, P. (1920).
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494:Faculty home page
331:. Second Series.
74:rational function
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207:Lebesgue measure
181:wandering domain
178:doubly connected
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51:complex dynamics
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351:10.2307/121009
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235:quasiconformal
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217:Mandelbrot set
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242:Weixiao Shen
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227:Siegel disks
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97:has at most
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510:1960 births
392:J. Milnor,
293:: 208â314.
189:a study of
156:Salem Prize
504:Categories
476:1608.04106
455:1509.07843
248:References
203:Julia sets
144:Mandelbrot
76:of degree
57:in Japan.
237:surgery.
162:in 1995.
111:−
199:Chéritat
367:1626737
176:with a
365:
359:121009
357:
264:; see
148:Milnor
471:arXiv
450:arXiv
355:JSTOR
337:arXiv
283:(PDF)
70:Fatou
34:ćźć ć
ćș
197:and
195:Buff
146:and
138:has
347:doi
333:147
295:doi
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363:MR
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