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Clayton Shonkwiler
Clayton Shonkwiler
Associate Professor of Mathematics, Colorado State University
Verified email at math.colostate.edu - Homepage
Title
Cited by
Cited by
Year
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
402020
Poincaré duality angles and the Dirichlet-to-Neumann operator
C Shonkwiler
Inverse Problems 29 (4), 045007, 2013
39*2013
The symplectic geometry of closed equilateral random walks in 3-space
J Cantarella, C Shonkwiler
372016
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
322014
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
232016
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
23*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
222008
The complete Dirichlet-to-Neumann map for differential forms
V Sharafutdinov, C Shonkwiler
Journal of Geometric Analysis 23 (4), 2063-2080, 2013
192013
Symplectic geometry and connectivity of spaces of frames
T Needham, C Shonkwiler
Advances in Computational Mathematics 47 (1), 5, 2021
172021
Higher-dimensional linking integrals
C Shonkwiler, D Vela-Vick
Proceedings of the American Mathematical Society 139 (4), 1511-1519, 2011
172011
Random triangles and polygons in the plane
J Cantarella, T Needham, C Shonkwiler, G Stewart
The American Mathematical Monthly 126 (2), 113-134, 2019
142019
The expected total curvature of random polygons
J Cantarella, AY Grosberg, R Kusner, C Shonkwiler
American Journal of Mathematics 137 (2), 411-438, 2015
122015
Legendrian contact homology and nondestabilizability
C Shonkwiler, DS Vela-Vick
Journal of Symplectic Geometry 9 (1), 33-44, 2011
82011
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
72022
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
72018
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
72013
Admissibility and frame homotopy for quaternionic frames
T Needham, C Shonkwiler
Linear Algebra and its Applications 645, 237-255, 2022
62022
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
52023
New stick number bounds from random sampling of confined polygons
TD Eddy, C Shonkwiler
Experimental Mathematics 31 (4), 1373-1395, 2022
52022
Knots with exactly 10 sticks
R Blair, TD Eddy, N Morrison, C Shonkwiler
Journal of Knot Theory and Its Ramifications 29 (03), 2050011, 2020
52020
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