Li, Wenxia ( 李文侠 )
| Title： | Professor |
|---|---|
| Department： | Pure Mathematics |
| Office： | Room 315, Math Building |
| Telephone： | 54342646-315 |
| Email： | wxli@math.ecnu.edu.cn |
| Homepage： | http://math.ecnu.edu.cn/~wxli |
| Homepage2： | https://faculty.ecnu.edu.cn/_s42/lwx2/main.psp |
Research Interest
Fractal geometry and applications
Resume
Selected Publications
Recent Publications(From MathSciNet)
MR5047321
Reviewed
Jiang, Kan; Kong, Derong; Li, Wenxia; Wang, Zhiqiang 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. 28A78 (11K55 28A80 37B10)
Publication Year 2026
Indexed 2026-05-13
Review Published2026-05-28
MR5020561
Reviewed
Jiang, Kan; Kong, Derong; Li, Wenxia; Wang, Zhiqiang 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. 28A80 (28A78)
Publication Year 2026
Indexed 2026-03-26
Review Published2026-04-01
MR4760209
Reviewed
Li, Wenxia; Miao, Jun Jie; Wang, Zhiqiang Spectrality of infinite convolutions and random convolutions.
J. Funct. Anal. 287 (2024), no. 7, Paper No. 110539, 35 pp. (Reviewer: Zhi-Yi Wu) 42C30 (28A80)
Publication Year 2024
Indexed 2024-08-07
Review Published2025-06-20
MR4756197
Reviewed
Li, Wenxia; Wang, Zhiqiang The spectrality of infinite convolutions in $\Bbb R^d$.
J. Fourier Anal. Appl. 30 (2024), no. 3, Paper No. 35, 27 pp. (Reviewer: Lars Olsen) 28A80 (42B05 42C30)
Publication Year 2024
Indexed 2024-07-31
Review Published2025-07-31
MR4755466
Reviewed
Jiang, Kan; Kong, Derong; Li, Wenxia; Wang, Zhiqiang Rational points in translations of the Cantor set.
Indag. Math. (N.S.) 35 (2024), no. 3, 516–522. 11A25 (11A51 11Y50)
Publication Year 2024
Indexed 2024-07-30
Review Published2025-03-21
MR4747087
Reviewed
Kong, Derong; Li, Wenxia; Wang, Zhiqiang; Yao, Yuanyuan; Zhang, Yunxiu On the union of homogeneous symmetric Cantor set with its translations.
Math. Z. 307 (2024), no. 2, Paper No. 35, 20 pp. (Reviewer: Filip Grzegorz Strobin) 28A80 (28A78)
Publication Year 2024
Indexed 2024-07-29
Review Published2025-03-26
MR4730760
Reviewed
Dajani, Karma; Li, Wenxia; Zhang, Tingyu Random beta-transformations on fat Sierpinski gaskets.
Recent developments in fractal geometry and dynamical systems,
15–35, Contemp. Math., 797, Amer. Math. Soc., [Providence], RI, [2024], ©2024. 37H12 (37A05 37A46)
Publication Year 2024
Indexed 2024-06-13
Review Published2025-02-14
MR4678998
Reviewed
Li, Wenxia; Miao, Jun Jie; Wang, Zhiqiang Spectrality of random convolutions generated by finitely many Hadamard triples.
Nonlinearity 37 (2024), no. 1, Paper No. 015003, 21 pp. 28A80 (42C30)
Publication Year 2024
Indexed 2024-01-29
Review Published2024-02-27
MR4672942
Reviewed
Cai, Yi; Li, Wenxia Bases which admit exactly two expansions.
Publ. Math. Debrecen 103 (2023), no. 3-4, 339–384. (Reviewer: Thomas Ward) 11A63 (11K55 37B10)
Publication Year 2023
Indexed 2024-01-22
Review Published2024-06-12
MR4492501
Reviewed
Li, Wenxia; Wang, Zhiqiang How inhomogeneous Cantor sets can pass a point.
Math. Z. 302 (2022), no. 3, 1429–1449. (Reviewer: Lulu Fang) 28A78 (11K55)
Publication Year 2022
Indexed 2022-12-09
Review Published2023-04-21
MR4416138
Reviewed
Li, Wenxia; Miao, Jun Jie; Wang, Zhiqiang Weak convergence and spectrality of infinite convolutions.
Adv. Math. 404 (2022), part B, Paper No. 108425, 26 pp. (Reviewer: Yan-Song Fu) 28A80 (42C30 60B10)
Publication Year 2022
Indexed 2022-06-22
Review Published2022-12-08
MR4385438
Reviewed
Jiang, Kan; Kong, Derong; Li, Wenxia How likely can a point be in different Cantor sets.
Nonlinearity 35 (2022), no. 3, 1402–1430. (Reviewer: Yuke Huang) 28A78 (11A63 11K55 28A80)
Publication Year 2022
Indexed 2022-03-31
Review Published2022-08-15
MR4246461
Reviewed
Kong, Derong; Li, Wenxia; Yao, Yuanyuan Pointwise densities of homogeneous Cantor measure and critical values.
Nonlinearity 34 (2021), no. 4, 2350–2380. 28A78 (37B10 68R15)
Publication Year 2021
Indexed 2021-06-23
Review Published2021-07-29
MR4188893
Reviewed
Dajani, Karma; Jiang, Kan; Kong, Derong; Li, Wenxia; Xi, Lifeng Multiple codings of self-similar sets with overlaps.
Adv. in Appl. Math. 124 (2021), Paper No. 102146, 49 pp. (Reviewer: Joseph Andrew Vandehey) 11K55 (11A63 28A78 37B10)
Publication Year 2021
Indexed 2021-02-03
Review Published2022-02-14
MR4157696
Reviewed
Wang, Zhiqiang; Jiang, Kan; Li, Wenxia; Zhao, Bing On the sum of squares of the middle-third Cantor set.
J. Number Theory 218 (2021), 209–222. (Reviewer: Symon Serbenyuk) 28A80 (11K55)
Publication Year 2021
Indexed 2020-11-23
Review Published2021-04-30
MR4170262
Reviewed
Cai, Yi; Li, Wenxia Intersection of Siepinski gasket with its translation.
Indag. Math. (N.S.) 31 (2020), no. 6, 984–996. 28A80
Publication Year 2020
Indexed 2020-12-18
Review Published2021-10-30
MR4140556
Reviewed
Kong, Derong; Li, Wenxia; Lü, Fan; Wang, Zhiqiang; Xu, Jiayi Univoque bases of real numbers: local dimension, devil's staircase and isolated points.
Adv. in Appl. Math. 121 (2020), 102103, 31 pp. (Reviewer: Thomas Ward) 11K55 (11A63 26A30 28A80 37B10 68R15)
Publication Year 2020
Indexed 2020-10-23
Review Published2021-03-16
MR4130813
Reviewed
Kalle, Charlene; Kong, Derong; Langeveld, Niels; Li, Wenxia The $\beta$-transformation with a hole at 0.
Ergodic Theory Dynam. Systems 40 (2020), no. 9, 2482–2514. (Reviewer: Bing Li) 37A44 (11K55 28D05 37B10 37E05 37E15 37G99)
Publication Year 2020
Indexed 2020-10-08
Review Published2021-05-26
MR4127786
Reviewed
Kong, Derong; Li, Wenxia Critical base for the unique codings of fat Sierpinski gasket.
Nonlinearity 33 (2020), no. 9, 4484–4511. (Reviewer: Jörg Neunhäuserer) 37A44 (11A63 28A80 37B10 68R15)
Publication Year 2020
Indexed 2020-09-22
Review Published2021-09-23
MR4079734
Reviewed
Chen, Yufei; Li, Wenxia Spectral analysis for weighted iterated $q$-triangulations of graphs.
Internat. J. Modern Phys. C 31 (2020), no. 3, 2050042, 19 pp. 05C50
Publication Year 2020
Indexed 2020-07-08
Review Published2020-07-23
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