Guy C. David

573 total citations
19 papers, 298 citations indexed

About

Guy C. David is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Guy C. David has authored 19 papers receiving a total of 298 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Applied Mathematics, 10 papers in Geometry and Topology and 7 papers in Mathematical Physics. Recurrent topics in Guy C. David's work include Geometric Analysis and Curvature Flows (9 papers), Point processes and geometric inequalities (5 papers) and Advanced Banach Space Theory (5 papers). Guy C. David is often cited by papers focused on Geometric Analysis and Curvature Flows (9 papers), Point processes and geometric inequalities (5 papers) and Advanced Banach Space Theory (5 papers). Guy C. David collaborates with scholars based in United States, France and Finland. Guy C. David's co-authors include Pertti Mattila, Tatiana Toro, Dan Voiculescu, Stephen Semmes, Aris Daniilidis and Raanan Schul and has published in prestigious journals such as SHILAP Revista de lepidopterología, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Guy C. David

16 papers receiving 252 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Guy C. David United States	8	252	135	91	87	17	19	298
Carlo Morpurgo United States	8	216 0.9×	133 1.0×	60 0.7×	70 0.8×	12 0.7×	17	242
Nicola Arcozzi Italy	12	367 1.5×	128 0.9×	79 0.9×	46 0.5×	17 1.0×	43	390
Marianna Csörnyei United Kingdom	8	140 0.6×	93 0.7×	138 1.5×	43 0.5×	7 0.4×	26	216
Zhongkai Li China	10	190 0.8×	82 0.6×	61 0.7×	53 0.6×	23 1.4×	39	256
Masanori Hino Japan	13	215 0.9×	246 1.8×	66 0.7×	124 1.4×	15 0.9×	24	365
Hugo Aimar Argentina	12	290 1.2×	169 1.3×	34 0.4×	57 0.7×	21 1.2×	63	326
J. P. Moreno Spain	10	186 0.7×	236 1.7×	117 1.3×	159 1.8×	5 0.3×	36	305
David Ullrich United States	10	227 0.9×	67 0.5×	96 1.1×	48 0.6×	10 0.6×	37	284
Senlin Wu China	9	196 0.8×	72 0.5×	106 1.2×	56 0.6×	12 0.7×	59	293
Antonios D. Melas Greece	13	410 1.6×	184 1.4×	112 1.2×	94 1.1×	10 0.6×	30	458

Countries citing papers authored by Guy C. David

Since Specialization

Citations

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

Fields of papers citing papers by Guy C. David

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Guy C. David. 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 Guy C. David. The network helps show where Guy C. David may publish in the future.

Co-authorship network of co-authors of Guy C. David

This figure shows the co-authorship network connecting the top 25 collaborators of Guy C. David. A scholar is included among the top collaborators of Guy C. David 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 Guy C. David. Guy C. David is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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19 of 19 papers shown

David, Guy C., et al.. (2024). Infinitesimal splitting for spaces with thick curve families and Euclidean embeddings. Annales de l’institut Fourier. 74(3). 973–1016. 2 indexed citations

David, Guy C. & Raanan Schul. (2023). Quantitative decompositions of Lipschitz mappings into metric spaces. Transactions of the American Mathematical Society. 376(8). 5521–5571.

David, Guy C.. (2023). A Non-injective Assouad-Type Theorem with Sharp Dimension. Journal of Geometric Analysis. 34(2).

David, Guy C., et al.. (2022). Bi-Lipschitz geometry of quasiconformal trees. Illinois Journal of Mathematics. 66(2). 2 indexed citations

David, Guy C. & Raanan Schul. (2022). Lower bounds on mapping content and quantitative factorization through trees. Journal of the London Mathematical Society. 106(2). 1170–1188. 1 indexed citations

David, Guy C., et al.. (2018). Rigidity for convex-cocompact actions on rank-one symmetric spaces. Geometry & Topology. 22(5). 2757–2790. 1 indexed citations

David, Guy C.. (2015). Tangents and Rectifiability of Ahlfors Regular Lipschitz Differentiability Spaces. Geometric and Functional Analysis. 25(2). 553–579. 7 indexed citations

David, Guy C., et al.. (2013). A Non-Probabilistic Proof of the Assouad EmbeddingTheorem with Bounds on the Dimension. SHILAP Revista de lepidopterología. 1(2013). 36–41. 2 indexed citations

Daniilidis, Aris, et al.. (2013). Rectifiability of Self-Contracted Curves in the Euclidean Space and Applications. Journal of Geometric Analysis. 25(2). 1211–1239. 13 indexed citations

10.

David, Guy C., et al.. (2009). Economies of Scale.

11.

David, Guy C., et al.. (2006). A generalization of Reifenberg's theorem in $R^3$. ArXiv.org. 8 indexed citations

12.

David, Guy C.. (2005). Singular sets of minimizers for the Mumford-Shah functional. 4 indexed citations

13.

David, Guy C. & Pertti Mattila. (2000). Removable sets for Lipschitz harmonic functions in the plane. Revista Matemática Iberoamericana. 16(1). 137–215. 60 indexed citations

14.

David, Guy C. & Tatiana Toro. (1999). Reifenberg flat metric spaces, snowballs, and embeddings. Mathematische Annalen. 315(4). 641–710. 30 indexed citations

15.

David, Guy C. & Stephen Semmes. (1993). Quantitative Rectifiability and Lipschitz Mappings. Transactions of the American Mathematical Society. 337(2). 855–855. 10 indexed citations

16.

David, Guy C. & Stephen Semmes. (1991). Harmonic analysis and the geometry of subsets of $\mathbf{R}^n$. Publicacions Matemàtiques. 35(1). 237–249. 1 indexed citations

17.

David, Guy C. & Stephen Semmes. (1991). Harmonic analysis and the geometry of subsets of $\mathbb{R}^n$. Publicacions Matemàtiques. 35. 237–249. 3 indexed citations

18.

David, Guy C.. (1991). Wavelets and Singular Integrals on Curves and Surfaces. Lecture notes in mathematics. 140 indexed citations

19.

David, Guy C. & Dan Voiculescu. (1990). s-Numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions. Journal of Functional Analysis. 94(1). 14–26. 14 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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