Bing Li
time： 2025-11-27

Bing Li

Position: Professor

Email: scbingli@scut.edu.cn

Research Interests

  • Fractal Geometry, Geometric Measure Theory

  • Dynamic System and Ergodic Theory

  • Metric Number Theory, Diophantine Approximation

  • Probability

Education and Work Experience

Education Experience:

  • 2009/06:  PhD, receive my PhD diplomas from University of Picardie, France and Wuhan University, China.

PhD SupervisorsProf. Ai-Hua Fan, University of Picardie, France . Prof. Jun Wu, Wuhan University, China.

Thesis: Uniform recurrence time in exponentially mixing systems and several problems concerning the continued fraction system and the β-shifts

  • 2007/09-2009/03: Ph.D candidate (joint programme), LAMFA (CNRS UMR 6140), University of Picardie, France.

  • 2005/09-2007/08: Ph.D candidate, School of Mathematics and Statistics, Wuhan University, China.

  • 2003/09-2005/07: Postgraduate, School of Mathematics and Statistics, Wuhan University, China.

  • 1999/09-2003/07: Undergraduate, Mathematics Base Classes, Wuhan University, China.

Work Experience:

  • 2014/09-Present: Professor, School of mathematics, South China University of Technology

  • 2010/12-2014/09: Associate Professor, School of mathematics, South China University of Technology.

  • 2010/08-2010/09: Faculty, Department of mathematics, South China University of Technology.

  • 2011/08-2013/07: Post-doctoral Fellow, Department of mathematical Science, University of Oulu (Supervisors: Profs. Esa Järvenpää and Maarit Järvenpää).

  • 2009/08-2010/07: Post-doctoral Fellow, Department of mathematics, Taiwan University (Supervisor: Prof. Narn-Rueih Shieh).

Research Achievement

  • J. Levesley, B. Li*, D. Simmons, S. Velani. Shrinking targets versus recurrence: the quantitative theory [J]. Mathematika 71 (2025), no. 4, Paper No. e70039, 16 pp.

  • B. Li, B. Wang. Ramírez’s problems and fibers on well approximable set of systems of affine forms [J]. Int. Math. Res. Not. IMRN 2025, no. 15, Paper No. rnaf237, 29 pp.

  • C.H. Chen, B. Li, V. Suomala. Fourier dimension of Mandelbrot multiplicative cascades [J]. Comm. Math. Phys. 406 (2025), no. 8, Paper No. 182, 15 pp.

  • B. Li, R.F. Li, Y.F. Wu. Multiplicative Diophantine approximation with restricted denominators [J]. Nonlinearity 38 (2025) 065012, 21pp.

  • B. Li, L. M. Liao, S. Velani, B. W. Wang, E. Zorin. Diophantine approximation and the Mass Transference principle: incorporating the unbounded setup [J]. Adv. Math. 470 (2025), Paper No. 110248, 61 pp.

  • B. Li, R. F. Li, Y.F. Wu. Zero-full law for well approximable sets in missing digit sets [J]. Math. Proc. Camb. Phil. Soc., 178(2025)，81-102.

  • Z.N. Hu, B. Li*. Hausdorff dimension of recurrence sets for matrix transformations of tori[J]. Acta Mathematica Scientia, 2025, 45B(4),1659-1673.

  • Y. Sun, B. Li*. Two Bifurcation Sets of Expansive Lorenz Maps with a Hole at the Discontinuity [J]. Qualitative Theory of Dynamical Systems (2025) 24:23.

  • B. Wang, B. Li*. Metric results for the eventually always hitting points and level sets in subshift with specification[J]. Fractals (2024), 2450118 (23 pages).

  • Y. Sun, B. Li, Y.M. Ding. Topological expansive Lorenz maps with a hole at critical point[J]. J. Stat. Phys. 191 (2024), no. 5, Paper No. 50, 20 pp.

  • B. Wang, B. Li, R.F. Li. Uniform Diophantine approximation with restricted denominators[J]. J. Number Theory, 260(2024), 232-265.

  • Z.N. Hu, B. Li, L.Q. Yang. Large intersection property for limsup sets in metric space[J]. Potential Anal. 60 (2024), no. 1, 341-363.

  • Y. Sun, B. Li, Y.M. Ding. Fiber denseness of intermediate β-shifts of finite type[J]. Nonlinearity 36 (2023) 5973-5997.

  • Y. Deng, B. Li, H. Qiu. Hausdorff and box dimensions of self-affine sets in a locally compact non-Archimedean field[J]. Nonlinearity, 36 (2023), no. 7, 3483-3500.

  • N. Yuan, B. Li*. Hausdorff dimensions of recurrent and shrinking target sets under Lipschitz functions for expanding Markov maps[J]. Dyn. Syst., 38 (2023), no. 3, 365-394.

  • B. Li, L.M. Liao, S. Velani, E. Zorin. The shrinking target problem for matrix transformations of tori: Revisiting the standard problem[J]. Adv. Math.421 (2023), Paper No. 108994, 74 pp.

  • B. Li, R.F. Li, Y.F. Wu. Rational numbers in $\times b$-invariant sets[J]. Proc. Amer. Math. Soc., 151(2023), no. 5, 1877-1887.

  • M. Hussain, B. Li*, D. Simmons, B.W. Wang. Dynamical Borel-Cantelli lemma for recurrence theory[J]. Ergod. The. & Dynam. Sys., 42(2022),no. 6, 1994-2008.

  • Z.N. Hu, B. Li*, Y.M. Xiao. On the intersection of dynamical covering sets with fractals[J]. Math. Z. 301(2022),485-513.

  • Z.N. Hu, W.C. Cheng, B. Li*. On the hitting probabilities of limsup random fractals[J]. Fractals, Vol.30, No. 3(2022) 2250055 (9 pages).

  • N. Yuan, B. Li, M. Wu. Badly approximable and nonrecurrent sets for expanding Markov maps[J]. Fractals, Vol.29, No. 6(2021) 2150170 (17 pages).

  • Z.N. Hu, B. Li*. Random covering sets in metric space with exponentially mixing property[J]. Statist. Probab. Lett. 168 (2021), 108922, 7 pp.

  • L.L. Fang, M. Wu, B. Li*. Approximation orders of real numbers by beta-expansions[J]. Math. Z. 296(2020), 13-40.

  • B. Li, W.C. Cheng. On the commutativity of coset pressure[J]. Pacific J. Math. 305 (2020), no. 1, 219-228.

  • B. Li, T. Sahlsten, T. Samue, W. Steiner. Denseness of intermediate beta-shifts of finite type[J]. Proc. Amer. Math. Soc., 147 (2019), no. 5, 2045-2055.

  • L.L. Fang, M. Wu, B. Li*. Beta-expansion and continued fraction expansion of real numbers[J]. Acta Arith., 187 (2019), no. 3, 233-253.

  • Y.Q. Li, B. Li. Distributions of full and non-full words in beta-expansions[J]. J. Number Theory, 190 (2018), 311–332.

  • Q.Q. Yang, B. Li, W.B. Liu, Yi, Chiuan, Chen. On the distal and asymptotic sets for β-transformations[J]. J. Math. Anal. Appl. 464 (2018), no. 1, 188-200.

  • J.R. Tang, B. Li,  W.C. Cheng. Some properties on topological entropy of free semigroup action[J]. Dyn. Syst.,33 (2018)，no. 1, 54-71.

  • L.X. Zheng, M. Wu, B. Li*. The exceptional sets on the run-length function of beta-expansions[J]. Fractals, Vol.25, No. 6(2017) 1750060 (10 pages).

  • A. Kaenmaki, B. Li*, Genericity of dimension drop on self-affine sets[J]. Statist. Probab. Lett., 126(2017), 18-25.

  • E. Jarvenpaa, M. Jarvenpaa, H. Koivusalo, B. Li*, V. Suomala, Y. M. Xiao. Hitting probabilities of random covering sets in tori and metric spaces[J]. Electronic J. Probab. 22(2017), no. 1, 1-18.

  • W.B. Liu, B. Li*. Chaotic and topological properties of continued fractions[J]. J. Number Theory, 174(2017), 369-383.

  • L.X. Zheng, M. Wu, B. Li*. The topological property of the irregular sets on the lengths of basic intervals in beta-expansions[J]. J.Math. Anal. Appl., 449(2017), 127-137.

  • D. H. Kim, B. Li*. Zero-one law of Hausdorff dimensions of recurrent sets[J]. Discrete Contin. Dyn. Syst., 36(2016), no. 10, 5477-5492.

  • E. Jarvenpaa, M. Jarvenpaa, B. Li*, O. Stenflo. Random affine code tree fractals and Falcorner-Sloan condition[J]. Ergod. The. & Dynam. Sys., 36(2016), 1516-1533.

  • A. Kaenmaki, B. Li*, V. Suomala. Local dimensions in Moran constructions[J]. Nonlinearity, 29(2016), 807-822.

  • L.L. Fang, M. Wu, B. Li*. Limit theorems related to beta-expansion and continued fraction expansion[J]. J. Number Theory, 163(2016), 385-405.

  • J.J. Li, B. Li*. Hausdorff dimension of some irregular sets associated with beta-expansions[J]. Sci. China Math., 59(2016), no. 3, 445-458.

  • B. Li, T. Sahlsten, T. Samuel. Intermediate beta-shifts of finite type[J].  Discrete Contin. Dyn. Syst., 36(2016), no. 1, 323-344.

  • L.L. Fang, M. Wu, N.R. Shieh, B. Li*. Random Continued fractions: Levy constant and Chernoff-type estimate[J].  J. Math. Anal. Appl., 429(2015), no. 1, 513-531.

  • M.M. Kong, W.C. Cheng, B. Li*. Topological pressure for non autonomous systems[J]. Chaos Solitons Fractals, 76(2015), 82-92.

  • B. Li, B.W. Wang, J. Wu, J. Xu. The shrinking target problem in the dynamical system of continued fractions[J]. Proc. London Math. Soc. (3), 108(2014),159-186.

  • B. Li, T. Persson, B. Wang, J. Wu. Diophantine approximation of the orbit of 1 in the dynamical system of beta expansions[J]. Math. Z. 176(2014), 799-827.

  • B. Li*, V. Suomala. A note on the hitting probabilities of random covering sets[J]. Ann. Acad. Sci. Fenn. Math. 39(2014), 625-633.

  • E. Jarvenpaa, M. Jarvenpaa, H. Koivusalo, B. Li*, V. Suomala. Hausdorff dimension of affine random covering sets in torus[J]. Ann. Inst. Henri Poincare Probab. Stat., 50(2014) no.4, 1371-1384.

  • J.C. Ban, B. Li*. The multifractal spectra for the recurrence rates of beta-transformations[J]. J. Math. Anal. Appl., 420(2014), No. 2, 1662-1679.

  • R. Kuang, W.C. Cheng, D.K. Ma, B. Li*. Different forms of entropy dimension for zero entropy systems[J]. Dyn. Syst. 29(2014), No.2, 239-254.

  • X.H. Hu, B. Li, J. Xu. Metric theorem and Hausdorff dimension on recurrence rate of Laurent series[J]. Bull. Korean Math. Soc. 51(2014), No.1, 157-171.

  • W.C. Cheng, B. Li*. Topological pressure dimension[J].  Chaos Solitons Fractals, 53(2013), 10-17.

  • R. Kuang, W.C. Cheng, B. Li. Fractal entropy of nonautonomous systems[J]. Pacific J. Math. 262(2013), no. 2, 421-436.

  • D.K. Ma, R. Kuang, B. Li*. Topological entropy dimension for noncompact sets[J]. Dyn. Syst. 27(2012), No. 3, 303-316.

  • B. Li, Y.C. Chen. Chaotic and topological properties of $\beta$-transformations[J]. J. Math. Anal. Appl. 383(2011), 585-596.

  • W.C. Cheng, B. Li*. Zero entropy systems[J]. J. Stat. Phys. 140(2010), no. 5, 1006-1021.

  • B. Li, J. Wu. Beta-expansion and continued fraction expansion over formal Laurent series[J]. Finite Fields Appl. 14(2008), no. 3, 635-647.

  • B. Li, J. Wu, J. Xu. Metric properties and exceptional sets of beta-expansions over formal series[J]. Monatsh. Math. 155(2008), no. 2, 145-160.

  • B. Li, J. Wu. Beta-expansion and continued fraction expansion[J]. J. Math. Anal. Appl. 339(2008), no. 2, 1322-1331.

Others（Awards、Research Grants…etc）

Grants

  • 2023/01-2026/12 Fractal and metric problems of distribution of orbits in multiplicatively independent systems, the National Natural Science Foundation of China, PI.

  • 2017/01-2020/12 The dimension theory for self-affine and random covering sets and related problems, the National Natural Science Foundation of China, PI.

  • 2018/05-2021/04 Some problems related to the asymptotic behavior of simultaneous orbits in dynamical systems, Major project from Guangdong Natural Science Foundation, PI.

  • 2014/10-2017/10 The entropy and dimension theory in dynamical systems, General project from Guangdong Natural Science Foundation, PI.

  • 2014/11-2015/02 The multifractal analysis in doubling metric space and generalized irreducibility for the subadditive dynamical system, International Cooperation and Exchanges of the National Natural Science Foundation of China, PI.

  • 2013/01-2014/12 The measure and dimension theory in fractal geometry and dynamical system, the Fundamental Research Funds for the Central Universities, PI.

  • 2013/01-2015/12 Random covering problems in higher dimension and their applications in dynamical systems, the National Natural Science Foundation of China for young researchers, PI.

  • 2013/03-2014/03 The fractals and related topics on random coverings, the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, PI.

  • 2012/01-2012/12 Several fractal problems related to the expansions of real numbers with non-integer basis, the TianYuan Special Funds of the National Natural Science Foundation of China, PI.

  • 2011/01-2012/12 The dimension theory of random fractals, the Fundamental Research Funds for the Central Universities, PI.