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] The sufficient and necessary conditions for a set $F$ with $\dim _HF=\dim _PF$ (with D. Xiao), 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] Separation properties for MW-fractals, Acta Mathematics Sinica, 14(1998), 487--494. dvi , ps , pdf .

[15] The dimensions of self-similar sets (with D. Xiao), J. Math. Soc. Japan, 50(1998), 789--799. dvi , ps , pdf .

[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] Limit cycles for competitive three dimensional Lotka - Volterra system (with D. Xiao), J. Differential Equations, 164(2000), 1--15. ps , pdf .

[21] The dimension of subsets of Moran sets determined by the success run behaviour of their codings (with F.M. Dekking), Monatshefte fur Mathematik , 131(2000), 309--320. dvi , ps , pdf .

[22] Non-differentiability of devil's staircases and dimensions of subsets of Moran sets (with D.Xiao and F.M. Dekking), Mathematical Proceedings of the Cambridge Philosophical Society , 133(2002), No.2, 345--355. dvi , ps , pdf .

[23] Hausdorff dimension of subsets of Moran fractals with prescribed group frequency of their codings (with F.M. Dekking), Nonlinearity , 16(2003), 187--200. dvi , ps , pdf .

[24] Stability and Bifurcation in a delayed Ratio-dependent Predator-Prey System (with D.Xiao ), Proceedings of the Edinburgh Mathematical Society, , 46(2003), 205--220. dvi , ps , pdf .

[25] How smooth is a devil's staircase? (with F. Michel Dekking), Fractals , 11(2003), 101--107 dvi , ps , pdf .

[26] The dimension of sets determined by their code behaviour, Fractals , 11(2003), 345--352. dvi , ps , pdf .

[27] Solving Maximum cut problem in the Adleman-Lipton model(with D. Xiao, Z. Zhang, L. He), BioSystems, 82(2005), 203--207. pdf .

[28] Procedure for a dynamical system on $\{0, 1\}^n$ with DNA molecules(with D. Xiao, J. Yu, X. Zhang, Z. Zhang, L. He). BioSystems, 84(2006), 207--216. pdf .

[29] Dynamics in a Ratio-dependent Predator-Prey Model with predator Harvesting(with D. Xiao, M. Han). JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 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] DNA ternary addition(with D. Xiao, L. He). Applied Mathematics and Computation, 182(2006), 977--986.

[33] A DNA procedure for solving the shortest path problem(with C. Wang, D. Xiao, L. He). Applied Mathematics and Computation 183(2006), 79--84.

[34] Non-differentiability points of Cantor functions. Mathematische Nachrichten, 280(2007), 140--151. pdf .

[35] Hausdorff dimension of fiber-coding sub-Sierpinski carpets(with Y.X. Gui). JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 331(2007), 62--68.

[36] Points of infinite derivative of Cantor functions. Real Anal. Exchange, 32 (2006/07), no.1, 87--96. pdf .

[37] Hausdorff dimension of subsets with proportional fibre frequencies of the general Sierpinski carpet (with Y.X. Gui). Nonlinearity, 20(2007), 2353--2364. pdf .

[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] A random version of McMullen-Bedford general Sierpinski carpets and its application (with Y.X. Gui). Nonlinearity 21 (2008) 1745-1758. pdf .

[41] The pointwise densities of non-symmetric Cantor sets (with Yuanyuan Yao). International Journal of Mathematics, 19(2008), 1121--1135.

[42] A generalized Multifractal spectrum of the general Sierpinski carpets (with Y.X. Gui), JMAA, 348(2008), 180--192.

[43] 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. (with J. Lu and YR. Zou). pdf .

[44] An equivalent definition of packing dimension for subsets of Moran fractals and its application, Nonlinear Analysis: Real World Applications, 10(2009), 1618--1626. pdf .

[45] Dimensions of subsets of Moran fractals related to frequencies of their codings (with Y.Y. Yao).Nonlinear Analysis: Real World Applications, 10(2009), 3240--3252. pdf .

[46] Hausdorff and packing dimensions of subsets of Moran fractals with prescribed mixed group frequency of their codings(with L. Olsen, Z.Y. Wen), Aequationes Mathematicae, 77(2009), 171--185.

[47] Dimensions of Non-differentiability points of Cantor functions (with Yuanyuan Yao, Yunxiu Zhang), 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] Subsets of the general Sierpinski carpet with mixed group frequencies (with Y.X. Gui), International Journal of Mathematics, 20(2009), 1289--1303.

[50] Multiscale self-affine Sierpinski carpets (with Y.X. Gui), Nonlinearity 23 (2010), 495-512.

[51] The Hausdorff dimension of sets related to the general Sierpinski carpets (with Y.X. Gui). Acta Mathematica Sinica, 26(2010), 731-742.

[52] COLORFUL PATTERNS WITH DISCRETE PLANAR SYMMETRIES FROM DYNAMICAL SYSTEMS (with J. Lu, Y.R. Zou). 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] Intersections of homogeneous Cantor sets and beta-expansions (with Derong Kong, F.M. Dekking), Nonlinearity, 23 (2010), 2815-2834. .

[55] Self-similar structure on intersection of homogeneous symmetric Cantor sets (with Yuanyuan Yao, Yunxiu Zhang), Math. Nach. 284(2011), 298--316.

[56] Intersecting nonhomogeneous Cantor sets with their translations (with Yuzu Zou, Caiguang Yan), 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] Self-similar structure on intersection of planar Cantor sets with their translations(with Y.Y. Yao), Monatshefte f r Mathematik, 166(2012),591--600.

[59] Unique expansion of points of a class of self-similar sets with overlaps (with Y.R. Zou, J. Lu), Mathematika, 58(2012), 371--388.

[60] Colorful symmetric images in three-dimensional space from dynamical systems (with Lu, Jian; Zou, Yuru; Liu, Zeyi). Fractals 20 (2012), no. 1, 53 C60.

[61] Lipschitz equivalence of McMullen sets (with B.M. Li, J.J. Miao), Fractals, 2013, no. 3-4.

[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] Hausdorff dimension of unique beta expansions (with D.R. Kong), Nonlinearity, 28(2015), no1, 187--209.

[64] Variational formula related to the self-affine Sierpinski carpets (with Y.X. Gui, D.M. Xiao), 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] Generating iterated function systems for a class of self-similar sets with complete overlap(with Y.Y. Yao), Publ. Math. Debrecen, 87/1-2(2015), 23--33.

[67] On the cardinality of beta-expansions of some numbers. . (with Y.R. Zou, J. Lu), Int. J. Number Theory, 12(2016)1497--1507.

[68] Assouad dimensions of Moran sets and Cantor-like sets(with W.W. Li, J.J., Miao, L.F. Xi), Front. Math. China, 11(2016),705--722.

[69] Hausdorff dimensions of sets related to Luroth expansion . (with Y.X. Gui), Acta Math. Hungary, 150(2016), 286--302.

[70] Generating Iterated Function Systems for the Vicsek Snowlake and the Koch Curve . (with Y.Yao), The American Mathematical Monthly, 123(7)(2016), 716--721.

[71] Hausdorff dimension of univoque sets and Devil's staircase . (with V. Komornik, D.R. Kong), Adv. in Math. 305(2017), 165--196.

[72] On small bases which admit points with two expansions . (with D.R. Kong, Y.R. Zou), Journal of Number Theory, 173(2017), 100--128.

[73] UNIVOQUE BASES AND HAUSDORFF DIMENSIONS . (with D.R. Kong, F. Lv and M. de Vries) Monatshefte fur Mathematik, 184(2017), 443--458.

[74] Lipschitz equivalence of a class of self-similar sets . (with X.Chen, K. Jiang), Annales Academiae Scientiarum Fennicae Mathematica, 42(2017), 585--591.

[75] Algebraic sums and products of univoque bases .(with Karma Dajani, Vilmos Komornik, D.R. Kong), Indag. Math. (N.S) 29(2018), no. 4, 1087---1104.

[76] Multiple expansions of real numbers with digits set $\set{0,1,q}$ . (with Karma Dajani, K, Jiang, D.R. Kong), Math. Z., 291(3),2019. 1605--1619.

[77] Estimating the Hausdorff dimensions of uniqvoque sets for self-similar sets . (with X. Chen, K, Jiang), Indag. Math., 30(2019), 862--873.

[78] ON THE BIFURCATION SET OF UNIQUE EXPANSIONS .(with C. Kalle, D.R. Kong and F. Lv), Acta Arithmetica., 188(2019), 367--399.

[79] Critical base for unique codings of fat Sierpinski gaskets .(with D.R. Kong) Nonlinearity, 33(2020), 4484--4511.

[80] Spectral analysis for weighted iterate q-triangulations of graphs . (with Y.F. Chen), Internat. J. Modern Phys. C. 31(2020), no. 3, 2050042, 19 pp.

[81] The -transformation with a hole at 0 . (with C. Kalle, D.R. Kong and Niels Langeveld), Ergodic Theory and Dynamical Systems, 40(2020), 2482--2514.

[82] UNIVOQUE BASES OF REAL NUMBERS: LOCAL DIMENSION, DEVIL'S STAIRCASE AND ISOLATED POINTS . (with D.R. Kong, F. Lv, Z.Q. Wang, J.Y. Xu) Adv Appl Math, 121(2020), 1--31.

[83] Hausdorff dimension of univoque sets of self-similsr sets with complete overlaps .(with M. Gareeb), Fractals, 28(2020), 2050051.

[84] Visibility of Cartesian products of Cantor sets . (with T.Y. Zhang, K, Jiang) Fractals, 28(2020), 2050119.

[85] Intersection of Sierpinski gasket with its translation . (with Y. Cai), Indag. Math., 31(2020), 984--996.

[86] On the sum of squares of middle-third Cantor set . (with Z.Q. Wang, K. Jiang, B. Zhao) Journal of Number Theory, 218(2021), 209--222.

[87] Pointwise densities of homogeneous Cantor measure and critical values . (with D.R. Kong, Y.Y. Yao) Nonlinearity, 34(2021), 2350--2380.

[88] Multiple codings for self-similar sets with overlaps . (with Karma Dajani, K, Jiang, D.R. Kong, L.F. Xi) 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.

Accepted articles in journals

K. Jiang, D.R. Kong, W.X. Li, Z.Q. Wang, RATIONAL POINTS IN TRANSLATIONS OF THE CANTOR SET, accepted by Indagationes Mathematicae.

Preprints

Analysis and appliciations of Laplacian spectra for two joins of graphs (with Y.F. Chen) .

Spectrality of Infinite Convolutions and Random Convolutions (with J.J. Miao, Z.Q. Wang) .

On a class of self-similar sets which contain finitely many common points (with K. Jiang, D.R. Kong, Z.Q. Wang) .

RANDOM -TRANSFORMATION ON FAT SIERPINSKI GASKET (with K. Dajani, T.Y, Zhang) .

ON THE UNION OF MIDDLE- CANTOR SET WITH ITS TRANSLATIONS (with D.R. Kong, Z.Q. Wang, Y.Y. Yao and Y,X. Zhang) .

The spectrality of infinite convolutions in $R^d$ (with Z.Q. Wang) .

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