Bing Li
time: 2015-09-10

Name: Bing Li 
Email:scbingli@scut.edu.cn
Research Field (Research Interest):
Fractal Geometry, Geometric Measure Theory, Dynamic System and Ergodic Theory,
Metric Number Theory, Diophantine Approximation, Random Covering
Main Achievement:
Professional Experience
Sep. 2014 - present Professor Department of mathematics, South China University of Technology, China
Sep. 2010 – Aug. 2014 Associate Professor Department of mathematics, South China University of Technology, China, Finland (Advisors: EsaJärvenpää and MaaritJärvenpää), Taiwan (Advisor: Narn-Rueih Shieh)
Aug. 2009 - July 2010 Post-doctoral Fellow Department of mathematics, Taiwan University
Aug. 2011 - July 2013 Post-doctoral Fellow Department of mathematical Science, University of Oulu
Education
Sep. 2005-June 2009 Ph.D. candidate LAMFA and Jun Wu) (CNRS UMR 6140), University of Picardie, France and School of Mathematics and Statistics, Wuhan University, China (Advisors: Aihua Fan
Sep. 2003-July 2005 Postgraduate School of Mathematics and Statistics, Wuhan University, China (Advisor: Jun Wu)
Sep. 1999-July 2003 Undergraduate Mathematics Base Classes, Wuhan University, China
Other Experience
August 12, 2014-August 21, 2014 VisitDepartment of Mathematics Education, Dongguk University, South Korea
July 12, 2014-August 4, 2014 VisitNational Center for Theoretical Sciences (Hsinchu), Taiwan
Feb. 24, 2014-March 9, 2014, VisitDepartment of Mathematics, Chinese University of Hong Kong, Hong Kong
May 30, 2013-June 5, 2013 Visit Department of Mathematics, University of Bremen, Germany
May 20, 2013-May 22, 2013 Visit , FinlandDepartment of Mathematics, University of Jyväskylä
April 22, 2013-April 27, 2013 Visit Department of Mathematics, University of Bristol, UK
Oct. 1, 2012-Oct. 6, 2012 Visit Department of Mathematics, University of Helsinki, Finland
June 16, 2012-June 23, 2012 Visit Visit Morningside Center of Mathematics, Chinese Academy of Science, China
Feb. 12, 2012-Feb. 18, 2012 Visit Department of Mathematics, University of Helsinki, Finland
June 3, 2011-July 2, 2011 Visit Department of Mathematics & CMTP, National Central University, Taiwan
Jan. 17, 2010 -Feb. 28, 2010 Visit Department of Statistics and Probability, Michigan State University, USA
Publications
23. Hausdorff dimension of some irregular sets associated with beta-expansions, to appear in Sci. China Math. (withJinjun Li)
22. Intermediate $\beta$-shift of finite type, to appear in DiscreteContin. Syn. Syst.. (withTuomas Sahlsten and Tony Samuel) arXiv
21. Random code tree fractals and Falconer-Sloan condition, to appear in ErgodicTheoryDynam. Systems. (with Esa Järvenpää, Maarit Järvenpää and StenfloOrjan) arXiv
20. Random Continued fractions: Levy constant and Chernoff-type estimate, J. Math. Anal. Appl., 429(2015), 513-531. (with Lulu Fang, Narn-RueihShieh and Min Wu)
19. Topological pressure for non autonomous systems, Chaos Solitons Fractals, 76(2015), 82-92. (with Wen-Chiao Cheng and Mengmeng Kong)
18. Projections of randomcovering sets, Projections of randomcovering sets, J. Fractal Geom., 1 (2014), no. 4, 449–467. (withChanghao Chen, HennaKoivusalo and Ville Suomala)
17. Hausdorff dimension of affine randomcovering sets in torus, Ann. Inst. Henri Poincaré Probab. Stat., 50(2014), no. 4, 1371-1384. (with Esa Järvenpää, Maarit Järvenpää, HennaKoivusalo and Ville Suomala) arXiv
16. Diophantine approximation of the orbit of 1 in the dynamical system of beta expansions, Math. Z. 176(2014), 799-827. (withTomas Persson, Baowei Wang and Jun Wu) arXiv
15. A note on hitting probabilities of random covering sets, Ann. Acad. Sci. Fenn. Math., 39(2014), 625-633. (withVille Suomala) arXiv
14. Metric theorem and Hausdorff dimension on recurrence rate of Laurent series, Bull. Korean Math. Soc. 51(2014), No.1, 157-171. (with Xue-Hai Hu and Jian Xu)
13. Different forms of entropy dimension for zero entropy systems, Dyn. Syst., 29(2014), No.2, 239-254. (with RuiKuang, Wen-Chiao Cheng and Dong-Kui Ma)
12. The multifractal spectra for the recurrence rates of beta-transofrmations, J. Math. Anal. Appl., 420(2014), No. 2, 1662-1679. (with Jung-Chao Ban)
11. The shrinking target problem in the dynamical system of continued fractions, Proc. London Math. Soc. (3) 108(2014), 159-186. (withBaowei Wang, Jun Wu and JianXu)
10. Hitting Probabilities of the Random Covering Sets,Fractal geometry and dynamical systems in pure and applied mathematics. II. Fractals in applied mathematics, 307-323, Contemp. Math. 601, Amer. Math.Soc., Providence, RI, 2013. (withNarn-Rueih Shieh and Yimin Xiao)
9. Topological pressure dimension, Chaos Solitons Fractals, 53(2013), 10-17. (with Wen-Chiao Cheng)
8. Fractal Entropy of Nonautonomous Systems, Pacific J. Math. 262(2013), no. 2, 421-436. (with Wen-Chiao Cheng and RuiKuang)
7. Topological entropy dimension for noncompact sets.Dyn. Syst. 27 (2012), no. 3, 303–316. (withRuiKuang and Dongkui Ma)
6. Chaotic and topological properties of $\beta$-transformations, J. Math. Anal. Appl. 383(2011), no. 2, 585-596. (withYi-Chiuan Chen)
5. Zero entropy systems, J. Stat. Phys. 140 (2010), no. 5, 1006–1021. (with Wen-Chiao Cheng)
4. Quantitative uniform hitting in exponentially mixing systems, Recent developments in fractals and related fields, 251–266, Appl. Numer. Harmon. Anal.,Birkhäuser Boston, Inc., Boston, MA, 2010. (withAihua Fan and Thomas Langlet)
3. Beta-expansion and continued fraction expansion over formal Laurent series, Finite Fields Appl. 14 (2008), no. 3, 635–647. (with Jun Wu)
2. Metric properties and exceptional sets of beta-expansions over formal series, Monatsh. Math. 155 (2008), no. 2, 145–160. (with Jun Wu and Jian Xu)
1.Beta-expansion and continued fraction expansion, J. Math. Anal. Appl. 339 (2008), no. 2, 1322–1331. (with Jun Wu)
Conference/Seminar/ColloquiumTalks
42. March 30 2015 Some topics on topological entropy dimensions, Chinese University of Hong Kong, Hong Kong
41. March 14-15 Hitting probabilities of random covering sets in high dimension,2015 AMS Central Section Meeting-Special Section on Fractal and Tilings,Michigan State University,USA
40. Dec. 20-21 2014 Random affine code tree fractals and Falconer-Sloan condition, Sun Yat-Sen University (Zhuhai campus), Zhuhai, China
39. Oct. 24-28, 2014 Greedy, lazy and intermediate beta-expansions, Taiwan-Hong Kong-Mainland Workshop onDynamics and Related Topics, Central China Normal University, Wuhan, China
38. Oct. 17, 2014, Dvoretzkoyrandomcovering and potentialtheory, ChineseUniversity of Hong Kong, Hong Kong
37. August 8-12, 2014 Intermediate beta-shifts of finite type, ICM2014 Satellite conference on dynamicalsystems and relatedtopics, Chungnam National University, Daejeon, South Korea.
36. July 16, 2014, Diophantine approximation in parameterspaces of the dynamical system of beta-transformations, Institute of Mathematics, AcademiaSinica, Taipei, Taiwan
35. March. 7, 2014, The shrinkingtargetproblem and continued fractions, ChineseUniversity of Hong Kong, Hong Kong
34. Dec. 20-21, 2013 Randomcovering sets in high dimension, Workshop on fractal geometry and relatedtopics, Sun Yat-Sen University, Guangzhou, China
33. Dec. 16, 2013 Sometopics on the Hausdorff dimensions of the randomcovering sets, School of Mathematics and Statistics, HuazhongUniversity of Science of Technology, Wuhan, China
32. June 11-14, 2013 The shrinkingproblem in the dynamical system of continued fractions, Continued fractions, Interval exchanges and Applications to Geometry, Pisa, italy
31. June 4, 2013 The dimension theory of well-approximable sets and continued fractions, colloquium, University of Bremen, Germany
30. April 25, 2013 The shrinkingtargetproblem in the dynamical system of continued fractions, Seminars, University of Bristol, UK
29. March 18-22, 2013 Diophantine approximation of the orbit of 1 in the dynamical system of beta-expansions, Bremen Winter School on Multifractals and Number Theory, University of Bremen, Gemany
28. Dec. 10-14, 2012 Diophantine approximation of the orbit of 1 in beta-transformation dynamical system, International conference on advance on fractals and related topics, ChineseUniversity of Hong Kong, Hong Kong
27. Oct. 4, 2012 The distribution of the orbits in Beta-transformation dynamical system, Department of Mathematics, University of Helsinki, Helsinki, Finland
26. April 23-27, 2012 Hittingprobabilities of the randomcovering sets, Ergodic methods in dynamics, Bedlewo, Poland
25. April 16-20, 2012 The multifractalspectra for the recurrence rates of beta-transformations, Ergodic Theory and Dynamical Systems: Perspectives and Prospects, University of Warwick, UK
24. Feb. 16, 2012 Randomcoveringproblems on the circle and for dynamicalsystems, Department of Mathematics, University of Helsinki, Helsinki, Finland
23. Sep. 12, 2011 Sometopics on randomcoveringproblem, Colloquium, Department of Mathematical Science, University of Oulu, Oulu, Finland
22. June 24, 2011 Metric and topologicalproperties of beta-expansionas, Department of Mathematics, National Central University, Jongli City, Taiwan
21. June 13, 2011 Sometopics on entropy dimension, Dynamical system seminar, Institute of Mathematics, AcademiaSinica, Taipei, Taiwan
20. May 27-31, 2011 Sometopics on beta-expansions, 2011 National MathematicalConference on Fractal Theory and DynamicSystems, Zhangjiajie, China
19. Dec. 12-16, 2010 Quantitative recurrence in exponentiallymixingsystems. International Conference on NonlinearAnalysis, South China Universityof Technology, Guangzhou, China
18. Nov. 26, 2010 Sometopics on entropy dimensions, Wuhan Institute of Physics and Mathematics, ChineseAcademy of Sciences, Wuhan, China
17. August 20-23, 2010 Randomcovering and recurrenceproblems. SummerSchool on complexanalysis and fractal geometry, Hunan Normal University, Changsha, China
16. June 9, 2010 Somedynamicsrelated to the numbertheory and applications of Birkhoff ergodictheorem. Colloquium, TunghaiUniversity, Taichung, Taiwan
15. May 12-May 15, 2010 Recurrence and hittingproblems of continued fraction and beta-shift dynamicalsystems. NCTS 2010 Workshop on DynamicalSystems, National Tsing-Hua University, Hsinchu, Taiwan
14. May 4, 2010 Quantitative recurrence and uniformhitting of dynamicalsystems. National Dong HwaUniversity, Hualien, Taiwan
13. April 23, 2010 An introduction to $\beta$-expansion and symbolicdynamics III. Dynamical system seminar, Institute of Mathematics, AcademiaSinica, Taipei, Taiwan
12. April 9, 2010 An introduction to $\beta$-expansion and symbolicdynamics II. Dynamical system seminar,Institute of Mathematics, AcademiaSinica, Taipei, Taiwan
11. March 26, 2010 An introduction to $\beta$-expansion and symbolicdynamics I. Dynamical system seminar, Institute of Mathematics, AcademiaSinica, Taipei, Taiwan
10. March 24, 2010 Recurrence and hitting rate of a class of dynamicalsystems. Mini-Workshop on AppliedAnalysis and Probability, Taiwan University, Taipei, Taiwan
9. March 19, 2010 Recurrence and hittingproblem in dynamical system. NCTS & CMMSC (NCTU) Seminar on DynamicalSystems, National ChiaoTungUniversity, Hsinchu, Taiwan
8. Dec. 4-Dec. 6 2009 Quantitative recurrenceproblem in dynamicalsystems. Annal Meeting of the Mathematical Society, National Chung Cheng University, Chiayi, Taiwan
7. Oct. 21-Oct. 22 2009 DynamicalSystemsViewpoint of Continued Fraction and $\beta$-expansions. Workshop on Theory and Applications of MathematicalAnalysis, Taiwan University, Taipei, Taiwan
6. September 25, 2009 Probability in Symbolic Dynamics. NCTS/TPE & TIMS Joint Activity in Probability, Taiwan University, Taipei, Taiwan
5. September 23, 2009 Someclassicaldynamicalsystems and applications of Birkhoff ergodictheorem. Colloquium, FuJenUniversity, Taipei, Taiwan
4. March 27, 2009 A relationshipbetween $\beta$-shift and continued fraction dynamical system. Xiamen University, Xiamen, China
3. March 28, 2008 R\'{e}currence uniforme pour les syst\`{e}mes dynamiques. Seminar ofDoctors, LAMFA, Amiens, France
2. October 11, 2007 Relationship between the beta-digits and the partial quotient of real numbers. Seminar on Probability and ErgodicTheory, Amiens, France
1. June 23-June 25, 2007 Beta-expansions and continued fraction expansion. National Conference on Fractal and DynamicalSystems, Jiangsu University, Zhenjiang, China