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Shen Weixiao

January 06, 2023

In this Chinese name, the family name is Shen.

Shen Weixiao (Chinese: 沈维孝; pinyin: Shěn Wéixiào; born May 1975 in Guichi, Anhui, China) is a Chinese mathematician, specializing in dynamical systems (in particular, real and complex one-dimensional dynamics).[1]

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.[2] Shen was previously a professor at the National University of Singapore.[3] He is currently a professor at Fudan University.[4]

He published, with Oleg Kozlovski and Sebastian van Strien, a solution of the 2nd part of the 11th problem of Smale's problems.

In 2009 Shen was one of the two winners of the Chern Award of the Chinese Mathematical Society.[5][6] In 2014 Shen was an invited speaker, with Sebastian van Strien, at the International Congress of Mathematicians in Seoul.[7]

Selected publications

  • Shen, Weixiao (2000). "On the qc rigidity of real polynomials (Comprehensive Research on Complex Dynamical Systems and Related Fields)" (PDF). 数理解析研究所講究録 (Mathematical Analysis Workshop Proceedings). Kyoto University. 1153: 41–58.
  • Shen, Weixiao (2003). "On the measurable dynamics of real rational functions" (PDF). Ergodic Theory and Dynamical Systems. 23 (3): 957–983. doi:10.1017/S0143385702001311. S2CID 55697411.
  • Bruin, Henk; Shen, Weixiao; Strien, Sebastian van (2003). "Invariant Measures Exist Without a Growth Condition" (PDF). Communications in Mathematical Physics. 241 (2–3): 287–306. Bibcode:2003CMaPh.241..287B. doi:10.1007/s00220-003-0928-z. S2CID 122405994.
  • Shen, Weixiao (2004). "On the metric properties of multimodal interval maps and  2 density of Axiom A". Inventiones Mathematicae. 156 (2): 301–403. Bibcode:2004InMat.156..301S. doi:10.1007/s00222-003-0343-2. ISSN 0020-9910. S2CID 120159228. (See Axiom A.)
  • Shen, Weixiao (2006). "Decay of Geometry for Unimodal Maps: An Elementary Proof". Annals of Mathematics. 163 (2): 383–404. doi:10.4007/annals.2006.163.383. JSTOR 20159962.
  • Kozlovski, Oleg; Shen, Weixiao; Van Strien, Sebastian (2007). "Rigidity for real polynomials". Annals of Mathematics. 165 (3): 749–841. doi:10.4007/annals.2007.165.749.
  • Bruin, Henk; Rivera-Letelier, Juan; Shen, Weixiao; Van Strien, Sebastian (2008). "Large derivatives, backward contraction and invariant densities for interval maps" (PDF). Inventiones Mathematicae. 172 (3): 509–533. Bibcode:2008InMat.172..509B. doi:10.1007/s00222-007-0108-4. hdl:10044/1/18335. S2CID 2820020.
  • Avila, Artur; Lyubich, Mikhail; Shen, Weixiao (2008). "Parapuzzle of the Multibrot set and typical dynamics of unimodal maps". arXiv:0804.2197 [math.DS].
  • Avila, Artur; Kahn, Jeremy; Lyubich, Mikhail; Shen, Weixiao (2009). "Combinatorial rigidity for unicritical polynomials". Annals of Mathematics. 170 (2): 783–797. doi:10.4007/annals.2009.170.783. JSTOR 25662159.
  • Shen, Weixiao (2013). "On stochastic stability of non-uniformly expanding interval maps". Proceedings of the London Mathematical Society. 107 (5): 1091–1134. arXiv:1107.2537. doi:10.1112/plms/pdt013. S2CID 119428557.
  • Shen, Weixiao; Van Strien, Sebastian (2013). "On stochastic stability of expanding circle maps with neutral fixed points". Dynamical Systems. 28 (3): 423–452. arXiv:1212.5671. doi:10.1080/14689367.2013.806733. S2CID 119134579.
  • Gao, Bing; Shen, Weixiao (2014). "Summability implies Collet–Eckmann almost surely". Ergodic Theory and Dynamical Systems. 34 (4): 1184–1209. arXiv:1111.3720. doi:10.1017/etds.2012.173. S2CID 119263318.
  • Rivera-Letelier, J.; Shen, W (2014). "Statistical properties of one-dimensional maps under weak hyperbolicity assumptions" (PDF). Ann. Sci. Éc. Norm. Supér. 47 (6): 1027–1083. doi:10.24033/asens.2233. S2CID 204938726.
  • Shen, Weixiao (2018). "Hausdorff dimension of the graphs of the classical Weierstrass functions". Mathematische Zeitschrift. 289 (1–2): 223–266. arXiv:1505.03986. doi:10.1007/s00209-017-1949-1. S2CID 118844077.

References

  1. ^ "Weixiao Shen(沈维孝)". Shanghai Center for Mathematical Sciences. from the original on 2020-12-24. Retrieved 2019-11-24.
  2. ^ Shen Weixiao at the Mathematics Genealogy Project
  3. ^ . Department of Mathematics, National University of Singapore. Archived from the original on 2017-09-25. Retrieved 2019-11-24.
  4. ^ "Shen Weixiao".{{cite web}}: CS1 maint: url-status (link)
  5. ^ "Professor Shen Weixiao of USTC Mathematics Department Won the CHERN Shiing S. Mathematics Award". University of Science and Technology of China (ustc.edu.cn). 22 April 2009.
  6. ^ "Shiing-Shen Chern Mathematics Award". Chinese Mathematical Society. from the original on 2017-12-29. Retrieved 2019-11-24.
  7. ^ Shen, W.; van Strien, S. (2014). "Recent developments in interval dynamics" (PDF). Proceedings of the International Congress of Mathematicians, Seoul 2014. Vol. 2. pp. 699–720. (PDF) from the original on 2019-07-28. Retrieved 2019-11-24.

January 06, 2023
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In this Chinese name the family name is Shen Shen Weixiao Chinese 沈维孝 pinyin Shen Weixiao born May 1975 in Guichi Anhui China is a Chinese mathematician specializing in dynamical systems in particular real and complex one dimensional dynamics 1 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 2 Shen was previously a professor at the National University of Singapore 3 He is currently a professor at Fudan University 4 He published with Oleg Kozlovski and Sebastian van Strien a solution of the 2nd part of the 11th problem of Smale s problems In 2009 Shen was one of the two winners of the Chern Award of the Chinese Mathematical Society 5 6 In 2014 Shen was an invited speaker with Sebastian van Strien at the International Congress of Mathematicians in Seoul 7 Selected publications EditShen Weixiao 2000 On the qc rigidity of real polynomials Comprehensive Research on Complex Dynamical Systems and Related Fields PDF 数理解析研究所講究録 Mathematical Analysis Workshop Proceedings Kyoto University 1153 41 58 Shen Weixiao 2003 On the measurable dynamics of real rational functions PDF Ergodic Theory and Dynamical Systems 23 3 957 983 doi 10 1017 S0143385702001311 S2CID 55697411 Bruin Henk Shen Weixiao Strien Sebastian van 2003 Invariant Measures Exist Without a Growth Condition PDF Communications in Mathematical Physics 241 2 3 287 306 Bibcode 2003CMaPh 241 287B doi 10 1007 s00220 003 0928 z S2CID 122405994 Shen Weixiao 2004 On the metric properties of multimodal interval maps and C displaystyle C 2 density of Axiom A Inventiones Mathematicae 156 2 301 403 Bibcode 2004InMat 156 301S doi 10 1007 s00222 003 0343 2 ISSN 0020 9910 S2CID 120159228 See Axiom A Shen Weixiao 2006 Decay of Geometry for Unimodal Maps An Elementary Proof Annals of Mathematics 163 2 383 404 doi 10 4007 annals 2006 163 383 JSTOR 20159962 Kozlovski Oleg Shen Weixiao Van Strien Sebastian 2007 Rigidity for real polynomials Annals of Mathematics 165 3 749 841 doi 10 4007 annals 2007 165 749 Bruin Henk Rivera Letelier Juan Shen Weixiao Van Strien Sebastian 2008 Large derivatives backward contraction and invariant densities for interval maps PDF Inventiones Mathematicae 172 3 509 533 Bibcode 2008InMat 172 509B doi 10 1007 s00222 007 0108 4 hdl 10044 1 18335 S2CID 2820020 Avila Artur Lyubich Mikhail Shen Weixiao 2008 Parapuzzle of the Multibrot set and typical dynamics of unimodal maps arXiv 0804 2197 math DS Avila Artur Kahn Jeremy Lyubich Mikhail Shen Weixiao 2009 Combinatorial rigidity for unicritical polynomials Annals of Mathematics 170 2 783 797 doi 10 4007 annals 2009 170 783 JSTOR 25662159 Shen Weixiao 2013 On stochastic stability of non uniformly expanding interval maps Proceedings of the London Mathematical Society 107 5 1091 1134 arXiv 1107 2537 doi 10 1112 plms pdt013 S2CID 119428557 Shen Weixiao Van Strien Sebastian 2013 On stochastic stability of expanding circle maps with neutral fixed points Dynamical Systems 28 3 423 452 arXiv 1212 5671 doi 10 1080 14689367 2013 806733 S2CID 119134579 Gao Bing Shen Weixiao 2014 Summability implies Collet Eckmann almost surely Ergodic Theory and Dynamical Systems 34 4 1184 1209 arXiv 1111 3720 doi 10 1017 etds 2012 173 S2CID 119263318 Rivera Letelier J Shen W 2014 Statistical properties of one dimensional maps under weak hyperbolicity assumptions PDF Ann Sci Ec Norm Super 47 6 1027 1083 doi 10 24033 asens 2233 S2CID 204938726 Shen Weixiao 2018 Hausdorff dimension of the graphs of the classical Weierstrass functions Mathematische Zeitschrift 289 1 2 223 266 arXiv 1505 03986 doi 10 1007 s00209 017 1949 1 S2CID 118844077 References Edit Weixiao Shen 沈维孝 Shanghai Center for Mathematical Sciences Archived from the original on 2020 12 24 Retrieved 2019 11 24 Shen Weixiao at the Mathematics Genealogy Project International Congress of Mathematicians ICM Department of Mathematics National University of Singapore Archived from the original on 2017 09 25 Retrieved 2019 11 24 Shen Weixiao a href Template Cite web html title Template Cite web cite web a CS1 maint url status link Professor Shen Weixiao of USTC Mathematics Department Won the CHERN Shiing S Mathematics Award University of Science and Technology of China ustc edu cn 22 April 2009 Shiing Shen Chern Mathematics Award Chinese Mathematical Society Archived from the original on 2017 12 29 Retrieved 2019 11 24 Shen W van Strien S 2014 Recent developments in interval dynamics PDF Proceedings of the International Congress of Mathematicians Seoul 2014 Vol 2 pp 699 720 Archived PDF from the original on 2019 07 28 Retrieved 2019 11 24 Retrieved from https en wikipedia org w index php title Shen Weixiao amp oldid 1095965620, wikipedia, wiki, book, books, library,

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