A fractal dimension for measures via persistent homology H Adams, M Aminian, E Farnell, M Kirby, J Mirth, R Neville, C Peterson, ... Topological Data Analysis: The Abel Symposium 2018, 1-31, 2020 | 44 | 2020 |
Poincaré duality angles and the Dirichlet-to-Neumann operator C Shonkwiler Inverse Problems 29 (4), 045007, 2013 | 40* | 2013 |
The symplectic geometry of closed equilateral random walks in 3-space J Cantarella, C Shonkwiler | 38 | 2016 |
Probability theory of random polygons from the quaternionic viewpoint J Cantarella, T Deguchi, C Shonkwiler Communications on Pure and Applied Mathematics 67 (10), 1658-1699, 2014 | 33 | 2014 |
A fast direct sampling algorithm for equilateral closed polygons J Cantarella, B Duplantier, C Shonkwiler, E Uehara Journal of Physics A: Mathematical and Theoretical 49 (27), 275202, 2016 | 25 | 2016 |
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows D DeTurck, H Gluck, R Komendarczyk, P Melvin, C Shonkwiler, ... Journal of Mathematical Physics 54 (1), 2013 | 25* | 2013 |
Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links D DeTurck, H Gluck, R Komendarczyk, P Melvin, C Shonkwiler, ... Matemática Contemporânea 34, 251-283, 2008 | 23 | 2008 |
Symplectic geometry and connectivity of spaces of frames T Needham, C Shonkwiler Advances in Computational Mathematics 47 (1), 5, 2021 | 19 | 2021 |
The complete Dirichlet-to-Neumann map for differential forms V Sharafutdinov, C Shonkwiler Journal of Geometric Analysis 23 (4), 2063-2080, 2013 | 19 | 2013 |
Higher-dimensional linking integrals C Shonkwiler, D Vela-Vick Proceedings of the American Mathematical Society 139 (4), 1511-1519, 2011 | 18 | 2011 |
Random triangles and polygons in the plane J Cantarella, T Needham, C Shonkwiler, G Stewart The American Mathematical Monthly 126 (2), 113-134, 2019 | 14 | 2019 |
The expected total curvature of random polygons J Cantarella, AY Grosberg, R Kusner, C Shonkwiler American Journal of Mathematics 137 (2), 411-438, 2015 | 12 | 2015 |
Robocasting of Ceramic Fischer–Koch S Scaffolds for Bone Tissue Engineering V Baumer, E Gunn, V Riegle, C Bailey, C Shonkwiler, D Prawel Journal of functional biomaterials 14 (5), 251, 2023 | 9 | 2023 |
Legendrian contact homology and nondestabilizability C Shonkwiler, DS Vela-Vick Journal of Symplectic Geometry 9 (1), 33-44, 2011 | 9 | 2011 |
Radius of gyration, contraction factors, and subdivisions of topological polymers J Cantarella, T Deguchi, C Shonkwiler, E Uehara Journal of Physics A: Mathematical and Theoretical 55 (47), 475202, 2022 | 8 | 2022 |
Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows, part II D DeTurck, H Gluck, R Komendarczyk, P Melvin, H Nuchi, C Shonkwiler, ... Algebraic & Geometric Topology 13 (5), 2897-2923, 2013 | 8 | 2013 |
Open and closed random walks with fixed edgelengths in J Cantarella, K Chapman, P Reiter, C Shonkwiler Journal of Physics A: Mathematical and Theoretical 51 (43), 434002, 2018 | 7 | 2018 |
Toric symplectic geometry and full spark frames T Needham, C Shonkwiler Applied and Computational Harmonic Analysis 61, 254-287, 2022 | 6 | 2022 |
Admissibility and frame homotopy for quaternionic frames T Needham, C Shonkwiler Linear Algebra and its Applications 645, 237-255, 2022 | 6 | 2022 |
New stick number bounds from random sampling of confined polygons TD Eddy, C Shonkwiler Experimental Mathematics 31 (4), 1373-1395, 2022 | 5 | 2022 |