Charles K. Smart

968 total citations
21 papers, 443 citations indexed

About

Charles K. Smart is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Charles K. Smart has authored 21 papers receiving a total of 443 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Applied Mathematics, 13 papers in Computational Theory and Mathematics and 10 papers in Mathematical Physics. Recurrent topics in Charles K. Smart's work include Nonlinear Partial Differential Equations (13 papers), Advanced Mathematical Modeling in Engineering (13 papers) and Stochastic processes and statistical mechanics (4 papers). Charles K. Smart is often cited by papers focused on Nonlinear Partial Differential Equations (13 papers), Advanced Mathematical Modeling in Engineering (13 papers) and Stochastic processes and statistical mechanics (4 papers). Charles K. Smart collaborates with scholars based in United States, France and United Kingdom. Charles K. Smart's co-authors include Scott N. Armstrong, Lawrence C. Evans, Boyan Sirakov, Scott Sheffield⋆, Wesley Pegden, Jian Ding, Jeff Calder, Yifeng Yu, Brian Street and Andreas Seeger and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

In The Last Decade

Charles K. Smart

21 papers receiving 409 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Charles K. Smart United States 13 302 297 169 58 57 21 443
Nicoletta Tchou France 12 183 0.6× 204 0.7× 125 0.7× 33 0.6× 38 0.7× 51 359
Mateusz Kwaśnicki Poland 9 170 0.6× 158 0.5× 195 1.2× 23 0.4× 21 0.4× 29 360
Moritz Kaßmann Germany 15 746 2.5× 527 1.8× 459 2.7× 26 0.4× 53 0.9× 38 917
Tadeusz Kulczycki Poland 12 241 0.8× 260 0.9× 284 1.7× 42 0.7× 5 0.1× 26 442
Seung Jun Chang South Korea 11 294 1.0× 119 0.4× 237 1.4× 21 0.4× 20 0.4× 68 439
Yifeng Yu United States 14 305 1.0× 241 0.8× 113 0.7× 79 1.4× 8 0.1× 49 477
Fraydoun Rezakhanlou United States 13 115 0.4× 137 0.5× 193 1.1× 46 0.8× 14 0.2× 30 388
Tom Ter Elst New Zealand 14 402 1.3× 334 1.1× 403 2.4× 27 0.5× 29 0.5× 83 601
M. A. Akcoglu Canada 14 247 0.8× 141 0.5× 374 2.2× 24 0.4× 27 0.5× 58 589
Jürgen Voigt Germany 14 301 1.0× 187 0.6× 373 2.2× 17 0.3× 7 0.1× 51 561

Countries citing papers authored by Charles K. Smart

Since Specialization
Citations

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

Fields of papers citing papers by Charles K. Smart

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Charles K. Smart. 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 Charles K. Smart. The network helps show where Charles K. Smart may publish in the future.

Co-authorship network of co-authors of Charles K. Smart

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

All Works

20 of 20 papers shown
1.
Calder, Jeff & Charles K. Smart. (2020). The limit shape of convex hull peeling. Duke Mathematical Journal. 169(11). 12 indexed citations
2.
Ding, Jian & Charles K. Smart. (2019). Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice. Inventiones mathematicae. 219(2). 467–506. 15 indexed citations
3.
Smart, Charles K., et al.. (2018). A Free Boundary Problem with Facets. Archive for Rational Mechanics and Analysis. 232(1). 389–435. 2 indexed citations
4.
Hadžić, Mahir, Andreas Seeger, Charles K. Smart, & Brian Street. (2017). Singular integrals and a problem on mixing flows. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 35(4). 921–943. 9 indexed citations
5.
Lee, James R., Yuval Peres, & Charles K. Smart. (2016). A Gaussian upper bound for martingale small-ball probabilities. The Annals of Probability. 44(6). 2 indexed citations
6.
Smart, Charles K., et al.. (2016). Quantitative. Annales Scientifiques de l École Normale Supérieure. 49(2). 423–481. 74 indexed citations
7.
Armstrong, Scott N. & Charles K. Smart. (2014). Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity. The Annals of Probability. 42(6). 7 indexed citations
8.
Armstrong, Scott N. & Charles K. Smart. (2013). Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited. Calculus of Variations and Partial Differential Equations. 50(3-4). 967–980. 1 indexed citations
9.
Pegden, Wesley & Charles K. Smart. (2013). Convergence of the Abelian sandpile. Duke Mathematical Journal. 162(4). 18 indexed citations
10.
Armstrong, Scott N., Boyan Sirakov, & Charles K. Smart. (2012). Singular Solutions of Fully Nonlinear Elliptic Equations and Applications. Archive for Rational Mechanics and Analysis. 205(2). 345–394. 22 indexed citations
11.
Smart, Charles K., et al.. (2012). Nonuniqueness of infinity ground states. Calculus of Variations and Partial Differential Equations. 48(3-4). 545–554. 15 indexed citations
12.
Armstrong, Scott N., et al.. (2012). Partial regularity of solutions of fully nonlinear, uniformly elliptic equations. Communications on Pure and Applied Mathematics. 65(8). 1169–1184. 23 indexed citations
13.
Sheffield⋆, Scott & Charles K. Smart. (2011). Vector‐valued optimal Lipschitz extensions. Communications on Pure and Applied Mathematics. 65(1). 128–154. 17 indexed citations
14.
Armstrong, Scott N., Charles K. Smart, & Boyan Sirakov. (2011). Fundamental solutions of homogeneous fully nonlinear elliptic equations. Communications on Pure and Applied Mathematics. 64(6). 737–777. 29 indexed citations
15.
Evans, Lawrence C. & Charles K. Smart. (2011). Adjoint Methods for the Infinity Laplacian Partial Differential Equation. Archive for Rational Mechanics and Analysis. 201(1). 87–113. 17 indexed citations
16.
Evans, Lawrence C. & Charles K. Smart. (2011). Everywhere differentiability of infinity harmonic functions. Calculus of Variations and Partial Differential Equations. 42(1-2). 289–299. 55 indexed citations
17.
Armstrong, Scott N. & Charles K. Smart. (2011). A finite difference approach to the infinity Laplace equation and tug-of-war games. Transactions of the American Mathematical Society. 364(2). 595–636. 38 indexed citations
18.
Armstrong, Scott N., et al.. (2010). An infinity Laplace equation with gradient term and mixed boundary conditions. Proceedings of the American Mathematical Society. 139(5). 1763–1776. 14 indexed citations
19.
Smart, Charles K.. (2010). On the infinity Laplacian and Hrushovski's fusion. eScholarship (California Digital Library). 3 indexed citations
20.
Armstrong, Scott N. & Charles K. Smart. (2009). An easy proof of Jensen’s theorem on the uniqueness of infinity harmonic functions. Calculus of Variations and Partial Differential Equations. 37(3-4). 381–384. 65 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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2026