Sze-Man Ngai

887 total citations
40 papers, 575 citations indexed

About

Sze-Man Ngai is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Sze-Man Ngai has authored 40 papers receiving a total of 575 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Mathematical Physics, 11 papers in Computational Theory and Mathematics and 9 papers in Statistical and Nonlinear Physics. Recurrent topics in Sze-Man Ngai's work include Mathematical Dynamics and Fractals (36 papers), Topological and Geometric Data Analysis (7 papers) and Caveolin-1 and cellular processes (7 papers). Sze-Man Ngai is often cited by papers focused on Mathematical Dynamics and Fractals (36 papers), Topological and Geometric Data Analysis (7 papers) and Caveolin-1 and cellular processes (7 papers). Sze-Man Ngai collaborates with scholars based in United States, China and Hong Kong. Sze-Man Ngai's co-authors include Ka‐Sing Lau, Hui Rao, Jiaxin Hu, Xiangyang Wang, Qi-Rong Deng, Aihua Fan, Shing‐Tung Yau, Jing‐Cheng Liu and Yong Lin and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Chaos Solitons & Fractals and Advances in Mathematics.

In The Last Decade

Sze-Man Ngai

37 papers receiving 534 citations

Peers

Sze-Man Ngai

MP

SNP

CTM

CMP

EE

Oliver Jenkinson United Kingdom

Andreas Schief Germany

Pablo Shmerkin Argentina

Huyi Hu United States

Huo-Jun Ruan China

Omri Sarig Israel

Ercai Chen China

Roland Zweimüller Austria

Weixiao Shen China

Lingmin Liao China

Oliver Jenkinson United Kingdom

Sze-Man Ngai

524 ×1.0

MP

192 ×0.9

SNP

161 ×1.4

CTM

34 ×0.3

CMP

18 ×0.2

EE

Citations per year, relative to Sze-Man Ngai Sze-Man Ngai (= 1×) peers Oliver Jenkinson

Countries citing papers authored by Sze-Man Ngai

Since Specialization

Citations

This map shows the geographic impact of Sze-Man Ngai'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 Sze-Man Ngai with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sze-Man Ngai more than expected).

Fields of papers citing papers by Sze-Man Ngai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sze-Man Ngai. 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 Sze-Man Ngai. The network helps show where Sze-Man Ngai may publish in the future.

Co-authorship network of co-authors of Sze-Man Ngai

This figure shows the co-authorship network connecting the top 25 collaborators of Sze-Man Ngai. A scholar is included among the top collaborators of Sze-Man Ngai 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 Sze-Man Ngai. Sze-Man Ngai 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

1.

Ngai, Sze-Man, et al.. (2023). Schrödinger equations defined by a class of self-similar measures. 10(3). 209–241.

2.

Ngai, Sze-Man, et al.. (2023). Existence of Lq-dimension and entropy dimension of self-conformal measures on Riemannian manifolds. Nonlinear Analysis. 230. 113226–113226. 1 indexed citations

3.

Lin, Yong, Sze-Man Ngai, & Shing‐Tung Yau. (2022). Green’s Function of a Subgraph of a Complete Graph. International Mathematics Research Notices. 2023(13). 11145–11171.

4.

Ngai, Sze-Man, et al.. (2021). Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures ^*. Nonlinearity. 34(8). 5375–5398. 1 indexed citations

5.

Ngai, Sze-Man, et al.. (2018). -SPECTRUM OF SELF-SIMILAR MEASURES WITH OVERLAPS IN THE ABSENCE OF SECOND-ORDER IDENTITIES. Journal of the Australian Mathematical Society. 106(1). 56–103. 8 indexed citations

6.

Ngai, Sze-Man, et al.. (2017). Differentiability of L-spectrum and multifractal decomposition by using infinite graph-directed IFSs. Advances in Mathematics. 311. 190–237. 9 indexed citations

7.

Ngai, Sze-Man, et al.. (2016). Dimensions of the Boundary of a Graph-Directed Self-Similar Set With Overlaps. Houston journal of mathematics. 42(1). 179–210. 1 indexed citations

8.

Liu, Jing‐Cheng, et al.. (2015). Connectedness of a class of two-dimensional self-affine tiles associated with triangular matrices. Journal of Mathematical Analysis and Applications. 435(2). 1499–1513. 3 indexed citations

9.

Deng, Qi-Rong & Sze-Man Ngai. (2014). Dimensions of Fractals Generated by Bi-Lipschitz Maps. Abstract and Applied Analysis. 2014. 1–12. 1 indexed citations

10.

Ngai, Sze-Man, et al.. (2014). Infinite iterated function systems with overlaps. Ergodic Theory and Dynamical Systems. 36(3). 890–907. 6 indexed citations

11.

Deng, Qi-Rong & Sze-Man Ngai. (2011). Conformal iterated function systems with overlaps. Dynamical Systems. 26(1). 103–123. 10 indexed citations

12.

Ngai, Sze-Man, et al.. (2010). Graph-directed iterated function systems satisfying the generalized finite type condition. Nonlinearity. 23(9). 2333–2350. 9 indexed citations

13.

Lau, Ka‐Sing, Sze-Man Ngai, & Xiangyang Wang. (2008). Separation conditions for conformal iterated function systems. Monatshefte für Mathematik. 156(4). 325–355. 24 indexed citations

14.

Hu, Jiaxin, Ka‐Sing Lau, & Sze-Man Ngai. (2006). Laplace operators related to self-similar measures on Rd. Journal of Functional Analysis. 239(2). 542–565. 21 indexed citations

15.

Lau, Ka‐Sing & Sze-Man Ngai. (2006). A generalized finite type condition for iterated function systems. Advances in Mathematics. 208(2). 647–671. 37 indexed citations

16.

Lau, Ka‐Sing & Sze-Man Ngai. (2000). Second-order self-similar identities and multifractal decompositions. Indiana University Mathematics Journal. 49(3). 0–0. 27 indexed citations

17.

Lau, Ka‐Sing & Sze-Man Ngai. (1999). Lq-spectrum of Bernoulli convolutions associated with P.V. numbers. Osaka Journal of Mathematics. 36(4). 993–1010. 17 indexed citations

18.

Lau, Ka‐Sing & Sze-Man Ngai. (1999). Multifractal Measures and a Weak Separation Condition. Advances in Mathematics. 141(1). 45–96. 135 indexed citations

19.

Ngai, Sze-Man. (1999). Hausdorff Dimension of Overlapping Self-Similar Sets. 6 indexed citations

20.

Lau, Ka‐Sing & Sze-Man Ngai. (1998). $L^q$-spectrum of the Bernoulli convolution associated with the golden ratio. Studia Mathematica. 131(3). 225–251. 42 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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