Published contributions to academic conferences Published contributions to academic conferences
[1] Packing dimension of a class of sets,
Proceedings of the Third Conference on FRACTAL THEORY AND ITS APPLICATIONS,
Hefei, P.R. China, May 1993, 52--55.
[2] Dimensions of measure supported
on generalized MW construction (with Feng Su), DIFFERENTIAL EQUATIONS AND
CONTROL THEORY, Wuhan, P.R. China, June 1994, 163--167.
Lecture Notes in Pure and Applied
Mathematics 176, Dekker, New Jork.
[3]
Multifractal decompositions of MW-like
fractals, DYNAMICAL SYSTEM AND CHAOS, vol.1, Tokyo, Japan,
June 1994, 159--162. World Sci. Publishing, River Edge, NJ.
[4] On the intersection of translation of middle-$\alpha $
Cantor sets (with D. Xiao), FRACTALS AND
BEYOND--Complexities in the Sciences, Malta, October 1998,
137--148. World Scientific, Singapore. dvi ,
ps ,
pdf . Articles in journals [1] On the existence of Borel points of
meromorphic algebroidal function in unit circle, J. Central
China Normal University, 27(1993), 10--14(in Chinese).
[2]
Research on a class of partially
self-similar sets, Chin. Ann. of Math., 15A(1994),
681--688(in Chinese).
[3]
Property of Hausdorff measure of a class of
sets, J. Central China Normal University, 28(1994),
286--288(in Chinse).
[4]
Box
dimensions of planar generalized recurrent self-affine set (with Q. Qin & C. Wang),
Mathematica Applicata, 8(1995) (supp.), 164--168.
[5]
Generalized Moran fractals and its
multifractal decompositions, Acta Mathematica Sinica,
38(1995), 553-558(in Chinese).
[6]
The packing dimensions of the
generalized Moran sets (with S. Hua), Progress in Natural Science,
16(1996), 148--152.
[7]
Generalized recurrent sets.
Acta Mathematica Sinica, 39(1996), 125--132(in
Chinese).
[8] W.X. Li, D.M. Xiao,
The sufficient and
necessary conditions for a set $F$ with $\dim _HF=\dim _PF$, .
Acta Mathematica Scientia, 16(1996), 406--411.
[9]
The multifractal
decompositions of generalized Moran sets (II) (with F. Su & M. Wu), Journal of
Fudan University, 35(1996), 200--205(in Chinese).
[10]
The Strategies of Options
and Hedges of DMKStg (with D.F Zhao), Scienc and Technology Progress and
Policy, 1998(supp.), 145--147(in Chinese).
[11] Hausdorff dimension of a set defined by its address properties,
Journal of Central China Normal University(Nat. Sci.), 32(1998), 145--146.
[12] A note on generalized
Moran set (with D.Xiao), Acta Mathematica Scientia, 18(1998)(supp.),
88--93.
[13]
Separation properties for MW-fractals,
Acta
Mathematica Sinica, 14(1998), 113--120(in Chinese).
[14] W.X. Li, Separation properties for MW-fractals, . Acta Mathematics Sinica,
14(1998), 487--494.
[15] W.X. Li, D.M. Xiao, The dimensions of self-similar
sets , J. Math. Soc. Japan,
50(1998), 789--799.
[16] Dimension of subsets of a Moran fractal characterized by its location code (with D.Xiao),
Journal of Central China Normal University(Nat. Sci.), 32(1998), 251--254.
88--93.
[17]
Dimensions of measure on
general Sierpinski carpet (with D. Xiao), Acta Mathematica Scientia,
19(1999), 81--85. [18]
Intersection of
translations of Cantor triadic set (with D. Xiao), Acta Mathematica
Scientia, 19(1999), 214--219. [19]
Dimensions of subsets of a
class of Cantor-type set(with D. Xiao), Acta Mathematica Sinica
43(2000), 225--232(in Chinese).
[20] D.M. Xiao, W.X. Li, Limit cycles for competitive three dimensional
Lotka - Volterra system , J. Differential Equations, 164(2000), 1--15.
[21] W.X.Li, F.M. Dekking, The dimension of subsets of Moran sets determined by the success
run behaviour of their codings,
Monatsh Math, 131(2000), 309--320.
[22] W.X.Li, D.M. Xiao, F.M. Dekking, Non-differentiability of devil's staircases and dimensions
of subsets of Moran sets,
Math. Proc. Camb. Phil. Soc., 133(2002), No.2, 345--355.
< [23] W.X.Li, F.M. Dekking, Hausdorff dimension of subsets of Moran fractals with prescribed
group frequency of their codings,
Nonlinearity
, 16(2003), 187--200.
[24] D.M. Xiao, W.X. Li, Stability and Bifurcation in a delayed Ratio-dependent
Predator-Prey System . Proc. Edinb. Math. Soc.,
, 46(2003), 205--220.
[25] F.M. Dekking, W.X. Li, How smooth is a devil's staircase? .
Fractals,
11(2003), 101--107. [26] W.X. Li, The dimension of sets determined by their code behaviour .
Fractals,
11(2003), 345--352. [27] D.M. Xiao, W.X. Li, Z.Z. Zhang, L. He, Solving Maximum cut problem in the
Adleman-Lipton model . BioSystems,
82(2005), 203--207.
[28] D.M. Xiao, W.X. Li, J. Yu, X.D. Zhang, Z.Z. Zhang, L. He,
Procedure for a dynamical system on $\{0,
1\}^n$ with DNA molecules . BioSystems,
84(2006), 207--216.
[29] D.M. Xiao, W.X. Li, M.A. Han, Dynamics in a Ratio-dependent Predator-Prey
Model with predator Harvesting . J. Math. Anal. Appl. , 324(2006), 14--29.
[30]
Orbit trap rendering method for generating artistic images with cyclic or dihedral symmetry(with Y. Zuo, J. Lu, R. Ye).
Computers & graphics, 30(2006), 471--474. [31]
Generation of chair-tilling aperiodic Aesthetic patterns(with Y. Zuo, J. Lu), Journal of Computer-Aided Design & Computer Graphics,
18(2006), 498--501. [32] W.X. Li, D.M. Xiao, L. He, DNA ternary addition .
Applied Mathematics and Computation, 182(2006), 977--986.
[33] Z.C. Wang, D.M. Xiao, W.X. Li, L. He, A DNA procedure for solving the shortest path problem .
Applied Mathematics and Computation, 183(2006), 79--84.
[34] W.X. Li, Non-differentiability points of Cantor functions . Math.
Nachr., 280(2007), 140--151.
[35] Y.X. Gui, W.X. Li, Hausdorff dimension of fiber-coding sub-Sierpinski
carpets . J. Math. Anal. Appl., 331(2007), 62--68.
[36] W.X. Li, Points of infinite derivative of Cantor functions. .
Real Anal. Exchange, 32 (2006/07), no.1, 87--96. [37] Y.X. Gui, W.X. Li, Hausdorff dimension
of subsets with proportional
fibre frequencies of the general Sierpinski carpet . Nonlinearity, 20(2007), 2353--2364.
[38] A class of
Sierpinski carpets with overlaps (with Y.R. Zou, Y.Y. Yao). J. Math. Anal. Appl., 340(2008), 1422--1432.
[39] Hausdorff measure of Sierpinski Sponge generated by normal tetrahedron
(with Y.Z. Chen, Y.X. Gui). Journal of ECNU (Natural Science), 137(2008), 37--43.
[40] Y.X. Gui, W.X. Li, A random version of
McMullen-Bedford general Sierpinski carpets and its application . Nonlinearity 21 (2008) 1745-1758.
.
[41] W.X. Li, Y.Y. Yao,
The pointwise densities of non-symmetric Cantor sets .
International Journal of Mathematics, 19(2008), 1121--1135.
[42] Y.X. Gui, W.X. Li, A generalized Multifractal spectrum of the general Sierpinski carpets .
J. Math. Anal. Appl., 348(2008), 180--192.
[43] Y.R. Zou, J. Lu, W.X. Li, Self-similar structure on the intersection of
middle-$1-2\beta$ Cantor sets with $\beta\in(\frac{1}{3},\frac{1}{2})$
Nonlinearity, 21(2008), 2899--2910.
[44] W.X. Li,
An equivalent definition of packing dimension for
subsets of Moran fractals and its application, Nonlinear Analysis: Real World Applications, 10(2009), 1618--1626.
[45] W.X. Li, Y.Y. Yao, Dimensions of subsets of Moran fractals related to
frequencies of their codings .
Nonlinear Analysis: Real World Applications, 10(2009), 3240--3252.
[46] W.X. Li, L. Olsen, Z.Y. Wen, Hausdorff and packing dimensions of subsets of Moran fractals
with prescribed mixed group frequency of their codings . Aequationes Mathematicae, 77(2009),
171--185.
[47] Y.Y. Yao, Y.X. Zhang, W.X. Li,
Dimensions of
Non-differentiability points of Cantor functions .
Studia Mathematica, 195(2009), 113--125.
[48] Hausdorff dimension
of a class of subsets of Sierpinski carpet (with Y.X. Gui),
Acta Sci. Math. (Szeged) 75 (2009), no. 1-2, 75--89.
[49] Y.X. Gui, W.X. Li, Subsets of the general Sierpinski carpet with
mixed group frequencies .
International Journal of Mathematics, 20(2009), 1289--1303.
[50] Y.X. Gui, W.X. Li, Multiscale self-affine Sierpinski carpets .
Nonlinearity 23 (2010), 495-512.
[51] Y.X. Gui, W.X. Li, The Hausdorff dimension of sets related to the general Sierpinski carpets .
Acta Mathematica Sinica, 26(2010), 731-742.
[52] J. Lu, Y.R. Zou, W.X. Li, COLORFUL PATTERNS WITH DISCRETE PLANAR SYMMETRIES FROM DYNAMICAL SYSTEMS/i> .
Fractals, 18(2010), 35-43.
[53] Dimensions of sets related to affine Sierpinski carpets
(with J. Zhang, D. Kong). Chinese Journal of Contemporary Mathematics, 31(2010), 175--190.
[54] D.R. Kong, W.X. Li, F.M. Dekking, Intersections of homogeneous Cantor
sets and beta-expansions .
Nonlinearity, 23 (2010), 2815-2834. .
[55] W.X. Li, Y.Y. Yao, Y.X. Zhang,
Self-similar structure on intersection of homogeneous symmetric Cantor sets .
Math.
Nach. 284(2011), 298--316.
[56] Y.R. Zou, W.X. Li, C.G. Yan, Intersecting nonhomogeneous Cantor sets with their translations .
Nonlinear Analysis-TMA, 74(2011), 4660--4670.
[57] Regular subsets of a class of self-affine set
(with Y.X. Gui). Acta Mathematica Scientia, Sieries A, 31(2011), 796--804.
[58] Y.Y. Yao, W.X. Li, Self-similar structure on intersection of planar Cantor sets
with their translations . Monatsh Math, 166(2012),591--600.
[59] Y.R. Zou, J. Lu, W.X. Li, Unique expansion of points of a class of self-similar sets with overlaps .
Mathematika, 58(2012), 371--388.
[60] J. Lu, Y.R. Zou, Z.Y. Liu, W.X. Li, Colorful symmetric images in
three-dimensional space from dynamical systems .
Fractals 20 (2012), no. 1, 53 C60.
[61] B.M. Li, W.X. Li, J.J. Miao, Lipschitz equivalence of McMullen sets. Fractals, 21(2013), no. 3-4, 1350022 (11 pages).
[62] Dimensions of non-differentiability points of generalized Cantor functions with In Soo Beak), Acta Mathematica Sinica Chinese series) ,
2014, 57 5), 939--946.
[63] D.R. Kong, W.X. Li, Hausdorff dimension of unique beta expansions. Nonlinearity, 28(2015), no1, 187--209.
[64] Y.X. Gui, W.X. Li, D.M. Xiao, Variational formula related to the self-affine Sierpinski carpets. Math.
Nach 288 2015 no. 5-6, 593--603.
[65] A DNA Algorithm for the Maximal Matching Problem
(with E.M. Patrikeev, D.M. Xiao), Automation and Remote Control, 76 2015), no. 10, 1797--1802.
[66] Y.Y. Yao, W.X. Li, Generating iterated function systems for a class of self-similar sets with complete overlap. Publ. Math. Debrecen, 87/1-2(2015), 23--33.
[67] Y.R. Zou, W.X. Li, J. Lu, On the cardinality of beta-expansions of some numbers.
Int. J. Number Theory, 12(2016)1497--1507.
[68] W.W. Li, W.X. Li, J.J., Miao, L.F. Xi, Assouad dimensions of Moran sets and Cantor-like sets .
Front. Math. China, 11(2016),705--722.
[69] Y.X. Gui, W.X. Li,Hausdorff dimensions of sets related to Luroth expansion . Acta Math.
Hungary, 150(2016), 286--302.
[70] Y.Yao, W.X. Li, Generating Iterated Function Systems for the Vicsek Snowlake and the Koch Curve .
The American Mathematical Monthly, 123(7)(2016), 716--721.
[71] V. Komornik, D.R. Kong, W.X. Li,Hausdorff dimension of univoque sets and Devil's staircase .
Adv. in Math. 305(2017), 165--196.
[72] D.R. Kong, W.X. Li, Y.R. Zou, On small bases which admit points with two expansions .
Journal of Number Theory, 173(2017), 100--128.
[73] D.R. Kong, W.X. Li, F. Lv, M. de Vries UNIVOQUE BASES AND
HAUSDORFF DIMENSIONS . Monatsh Math, 184(2017), 443--458.
[74] X.Chen, K. Jiang, W.X. Li, Lipschitz equivalence of a class of self-similar sets . Annales Academiae Scientiarum Fennicae Mathematica, 42(2017), 585--591.
[75] Karma Dajani, Vilmos Komornik, D.R. Kong, W.X. Li, Algebraic sums and products of univoque bases . Indag. Math. (N.S) 29(2018),
no. 4, 1087---1104.
[76] Karma Dajani, K, Jiang, D.R. Kong, W.X. Li, Multiple expansions of real numbers with digits set $\set{0,1,q}$ . Math. Z., 291(3),2019.
1605--1619.
[77] X. Chen, K, Jiang, W.X. Li,Estimating the Hausdorff dimensions of uniqvoque sets for self-similar sets . Indag. Math., 30(2019), 862--873.
[78] C. Kalle, D.R. Kong, W.X. Li, F. Lv, ON THE BIFURCATION SET OF UNIQUE EXPANSIONS . Acta Arithmetica., 188(2019), 367--399.
[79] D.R. Kong, W.X. Li, Critical base for unique codings of fat Sierpinski gaskets . Nonlinearity, 33(2020), 4484--4511. [80] Y.F. Chen, W.X. Li, Spectral analysis for weighted iterate q-triangulations of graphs . Internat. J. Modern Phys. C. 31(2020), no. 3, 2050042, 19 pp.
[81] C. Kalle, D.R. Kong, Niels Langeveld, W.X. Li, The -transformation with a hole at 0 . Ergodic Theory and Dynamical Systems, 40(2020), 2482--2514.
[82] D.R. Kong, W.X. Li, F. Lv, Z.Q. Wang, J.Y. Xu, UNIVOQUE BASES OF REAL NUMBERS: LOCAL DIMENSION, DEVIL'S STAIRCASE AND ISOLATED POINTS .
Adv Appl Math, 121(2020), 1--31.
[83] M. Gareeb, W.X. Li, Hausdorff dimension of univoque sets of self-similsr sets with complete overlaps .
Fractals, 28(2020), 2050051.
[84] T.Y. Zhang, K, Jiang, W.X. Li, Visibility of Cartesian products of Cantor sets .
Fractals, 28(2020), 2050119.
[85] Y. Cai, W.X.Li,Intersection of Sierpinski gasket with its translation .
, Indag. Math., 31(2020), 984--996.
[86] Z.Q. Wang, W.X.Li, K. Jiang, B. Zhao On the sum of squares of middle-third Cantor set .
Journal of Number Theory, 218(2021), 209--222.
[87] D.R. Kong, W.X.Li, Y.Y. Yao, Pointwise densities of homogeneous Cantor measure and critical values . Nonlinearity, 34(2021), 2350--2380.
[88] K. Dajani, K, Jiang, D.R. Kong, W.X. Li, L.F. Xi, Multiple codings for self-similar sets with overlaps . Adv. in Appl. Math. 124 (2021), 102146, 49 pp.
[89] Kan Jiang, Derong Kong, Wenxia Li, How likely can a point be in different Cantor sets . Nonlinearility, 35(2022), no.3, 1402--1430.
[90] Wenxia Li, Jun Jie Miao, Zhiqiang Wang, Weak Convergence and Spectrality of Infinite Convolutions .
Adv. Math., 404(2022), Paper No. 108425, 26pp.
[91] Wenxia Li, Zhiqiang Wang, How inhomogeneous Cantor sets can pass a point .
Math. Z. 302 (2022), no. 3, 1429--1449.
[92] Lipeng Wang, Wenxia Li, FRACTAL DIMENSIONS OF SETS DEFINED
BY DIGIT RESTRICTIONS IN R^2 .
Fractals, Vol. 31, No. 7 (2023) 2350074 (24 pages).
[93] Yi Cai, Wenxia Li, Bases which admit exactly two expansions .
Publ. Math. Debrecen, 103 (2023) no. 3-4, 339--384.
[94] Wenxia Li, Jun Jie Miao, Zhiqiang Wang,
Spectrality of random convolutions generated by finitely many Hadamard triples .
Nonlinearity, 37(2024), no.1, Paper No. 015003, 21pp.
[95] W.X. Li, J.J. Miao and Z.Q. Wang,
Spectrality of Infinite Convolutions and Random Convolutions .
J. Funct. Anal., 287(2024), 110539 .
[96] D.R. Kong, W.X. Li, Z.Q. Wang, Y.Y. Yao and Y,X. Zhang, ON THE UNION OF MIDDLE- CANTOR SET WITH ITS
TRANSLATIONS .
, Math. Z. , 307(2024), 35.
[97] K. Dajani, W.X. Li, T.Y, Zhang,
RANDOM beta TRANSFORMATION ON FAT SIERPINSKI GASKET
, . Contemp. Math., 797
American Mathematical Society, [Providence], RI, 2024, 15--35.
ISBN: 978-1-4704-7216-0
[98] K. Jiang, D.R. Kong, W.X. Li, Z.Q. Wang, RATIONAL POINTS IN TRANSLATIONS OF THE CANTOR SET,
. Indag. Math. (N.S.) 35 (2024), no. 3, 516--522.
[99] W.X. Li, Z.Q. Wang, The spectrality of infinite convolutions in $R^d$,
. J. Fourier Anal. Appl. 30 (2024), no. 3, Paper No. 35, 27 pp.
[100] K. Jiang, D.R. Kong, W.X. Li and Z.Q. Wang, On the intersection of Cantor sets with the unit circle and some sequences,
. J. Lond. Math. Soc. (2) 113 (2026), no. 1, Paper No. e70408, 24 pp..
[101] K. Jiang, D.R. Kong, W.X. Li and Z.Q. Wang, On a class of self-similar sets which contain finitely many common points, .
Proc. Roy. Soc. Edinburgh Sect. A 156 (2026), no. 2, 543--564.
[102] Y. Cai, D.R. Kong, W.X. Li and Y.H. Zhang, Phase transitions for unique codings of fat Sierpinski gasket with multiple digits, .
Sci China Math, 2026,69, https://doi.org/10.1007/s11425-025-2538-4
[103] Y. Cai, W.X. Li, Bases which admis exactly n expansions (in Chinese). .
Sci Sin Math, 2026, 56: 1--18, doi:
10.1360/SSM-2025-0029
Accepted articles in journals W.X. Li, Z.Q. Wang, J.Y. Xu and J.Z. Zhao, Equidistribution in the complex plane and
self-similar measures, accepted by Proc. A Royal Soc. Edinburgh.
W.X. Li, Z.Q. Wang, J.Y. Xu, Eigen-Falconer theorem in $R^d$ . Accepted by Proceedings of the American Mathematical Society
W.X. Li, Z.Q. Wang, J.Z. Zhao, Rational points in Cantor sets in the complex plane, accepted by Acta Arithmetica.
Preprints Analysis and appliciations of Laplacian spectra for two joins of graphs (with Y.F. Chen) .
Dimension of divergence points related to L\"{u}roth expansion (with Y.X. Gui, Y. Zhou) .