Weixiao Shen

781 total citations
35 papers, 380 citations indexed

About

Weixiao Shen is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Weixiao Shen has authored 35 papers receiving a total of 380 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 17 papers in Geometry and Topology and 13 papers in Statistical and Nonlinear Physics. Recurrent topics in Weixiao Shen's work include Mathematical Dynamics and Fractals (34 papers), Quantum chaos and dynamical systems (10 papers) and Advanced Differential Equations and Dynamical Systems (9 papers). Weixiao Shen is often cited by papers focused on Mathematical Dynamics and Fractals (34 papers), Quantum chaos and dynamical systems (10 papers) and Advanced Differential Equations and Dynamical Systems (9 papers). Weixiao Shen collaborates with scholars based in China, Singapore and United Kingdom. Weixiao Shen's co-authors include Sebastian van Strien, Oleg Kozlovski, Juan Rivera‐Letelier, Henk Bruin, Mikhail Lyubich, Simin Li, Artur Avila, Jeremy Kahn, Genadi Levin and Wen Huang and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Weixiao Shen

32 papers receiving 344 citations

Peers

Weixiao Shen

SNP

CTM

Huyi Hu United States

Amie Wilkinson United States

Ph. Thieullen France

Sylvain Crovisier France

Yongluo Cao China

Ľubomír Snoha Slovakia

Joseph Auslander United States

Martı́n Sambarino Uruguay

Dominik Kwietniak Poland

Marek Rychlik United States

Huyi Hu United States

Weixiao Shen

448 ×1.3

262 ×1.3

SNP

107 ×0.6

42 ×0.5

28 ×0.7

CTM

Citations per year, relative to Weixiao Shen Weixiao Shen (= 1×) peers Huyi Hu

Countries citing papers authored by Weixiao Shen

Since Specialization

Citations

This map shows the geographic impact of Weixiao Shen's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Weixiao Shen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Weixiao Shen more than expected).

Fields of papers citing papers by Weixiao Shen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Weixiao Shen. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Weixiao Shen. The network helps show where Weixiao Shen may publish in the future.

Co-authorship network of co-authors of Weixiao Shen

This figure shows the co-authorship network connecting the top 25 collaborators of Weixiao Shen. A scholar is included among the top collaborators of Weixiao Shen based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Weixiao Shen. Weixiao Shen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Liu, Jinyan, Liming Wang, Qingye Lu, et al.. (2024). High-power 1176 nm vortex beam generated in a Nd:YVO₄ self-Raman laser via annular pumping. Laser Physics. 35(1). 15001–15001.

Shen, Weixiao, et al.. (2024). Low Complexity of Optimizing Measures Over an Expanding Circle Map. Communications in Mathematical Physics. 405(10).

Fan, Aihua, et al.. (2022). Bohr chaoticity of topological dynamical systems. Mathematische Zeitschrift. 302(2). 1127–1154. 2 indexed citations

Shen, Weixiao, et al.. (2021). Primitive tuning via quasiconformal surgery. Israel Journal of Mathematics. 245(1). 259–293. 2 indexed citations

Shen, Weixiao. (2017). Hausdorff dimension of the graphs of the classical Weierstrass functions. Mathematische Zeitschrift. 289(1-2). 223–266. 50 indexed citations

Li, Simin & Weixiao Shen. (2015). The topological complexity of Cantor attractors for unimodal interval maps. Transactions of the American Mathematical Society. 368(1). 659–688. 2 indexed citations

Shen, Weixiao, et al.. (2013). Summability implies Collet–Eckmann almost surely. Ergodic Theory and Dynamical Systems. 34(4). 1184–1209. 11 indexed citations

Shen, Weixiao. (2013). On stochastic stability of non-uniformly expanding interval maps. Proceedings of the London Mathematical Society. 107(5). 1091–1134. 7 indexed citations

Shen, Weixiao & Sebastian van Strien. (2013). On stochastic stability of expanding circle maps with neutral fixed points. Dynamical Systems. 28(3). 423–452. 7 indexed citations

10.

Huang, Wen & Weixiao Shen. (2012). Analytic skew products of quadratic polynomials over circle expanding maps. Nonlinearity. 26(2). 389–404. 5 indexed citations

11.

Li, Simin & Weixiao Shen. (2012). The topological complexity of Cantor attractors in one-dimensional dynamics. arXiv (Cornell University). 1 indexed citations

12.

Shen, Weixiao, et al.. (2012). Topological Invariance of a Strong Summability Condition in One-Dimensional Dynamics. International Mathematics Research Notices. 2013(8). 1783–1799. 2 indexed citations

13.

Rivera‐Letelier, Juan & Weixiao Shen. (2010). Research announcement: Statistical properties of one-dimensional maps under weak hyperbolicity assumptions (複素力学系とその関連分野の総合的研究). 数理解析研究所講究録. 1699. 30–43. 3 indexed citations

14.

Avila, Artur, Mikhail Lyubich, & Weixiao Shen. (2010). Parapuzzle of the multibrot set and typical dynamics of unimodal maps. Journal of the European Mathematical Society. 13(1). 27–56. 13 indexed citations

15.

Bruin, Henk, Juan Rivera‐Letelier, Weixiao Shen, & Sebastian van Strien. (2008). Large derivatives, backward contraction and invariant densities for interval maps. Inventiones mathematicae. 172(3). 509–533. 25 indexed citations

16.

Shen, Weixiao, et al.. (2008). Dimensions of the Julia sets of rational maps with the backward contraction property. Fundamenta Mathematicae. 198(2). 165–176. 4 indexed citations

17.

Kozlovski, Oleg, Weixiao Shen, & Sebastian van Strien. (2007). Density of hyperbolicity in dimension one. Annals of Mathematics. 166(1). 145–182. 36 indexed citations

18.

Shen, Weixiao. (2004). On the metric properties of multimodal interval maps and C 2 density of Axiom A. Inventiones mathematicae. 156(2). 301–403. 16 indexed citations

19.

Shen, Weixiao. (2003). Bounds for One-dimensional Maps without Inflection Critical Points. Journal of mathematical sciences. 10(1). 41–88. 10 indexed citations

20.

Shen, Weixiao. (1997). Local Connectivity of the Julia Set of Real Polynomials (after Levin and van Strien). Kyoto University Research Information Repository (Kyoto University). 988. 153–159. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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