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Cantarella, Jason H.

Author ID: cantarella.jason-h Recent zbMATH articles by "Cantarella, Jason H."
Published as: Cantarella, Jason; Cantarella, Jason H.

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 391 times in 274 Documents Cited by Year
On the minimum ropelength of knots and links. Zbl 1036.57001
Cantarella, Jason; Kusner, Robert B.; Sullivan, John M.
72
2002
Vector calculus and the topology of domains in 3-space. Zbl 1038.53017
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
53
2002
Circles minimize most knot energies. Zbl 1030.57006
Abrams, Aaron; Cantarella, Jason; Fu, Joseph H. G.; Ghomi, Mohammad; Howard, Ralph
33
2003
Knot tightening by constrained gradient descent. Zbl 1261.49007
Ashton, Ted; Cantarella, Jason; Piatek, Michael; Rawdon, Eric J.
22
2011
The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. Zbl 1006.78003
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
20
2001
Criticality for the Gehring link problem. Zbl 1129.57006
Cantarella, Jason; Fu, Joseph H. G.; Kusner, Rob; Sullivan, John M.; Wrinkle, Nancy C.
19
2006
Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators. Zbl 1054.78500
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman; Teytel, Mikhail
19
2000
The symplectic geometry of closed equilateral random walks in 3-space. Zbl 1408.53109
Cantarella, Jason; Shonkwiler, Clayton
15
2016
Nontrivial embeddings of polygonal intervals and unknots in 3-space. Zbl 0916.57011
Cantarella, Jason; Johnston, Heather
14
1998
Probability theory of random polygons from the quaternionic viewpoint. Zbl 1300.60026
Cantarella, Jason; Deguchi, Tetsuo; Shonkwiler, Clayton
10
2014
A new cohomological formula for helicity in \(\mathbb R^{2k+1}\) reveals the effect of a diffeomorphism on helicity. Zbl 1206.57033
Cantarella, Jason; Parsley, Jason
10
2010
Knot probabilities in random diagrams. Zbl 1353.82083
Cantarella, Jason; Chapman, Harrison; Mastin, Matt
10
2016
Knot fertility and lineage. Zbl 1380.57010
Cantarella, Jason; Henrich, Allison; Magness, Elsa; O’Keefe, Oliver; Perez, Kayla; Rawdon, Eric; Zimmer, Briana
10
2017
Ropelength criticality. Zbl 1305.57008
Cantarella, Jason; Fu, Joseph H. G.; Kusner, Robert B.; Sullivan, John M.
9
2014
The second hull of knotted curve. Zbl 1054.53003
Cantarella, Jason; Kuperberg, Greg; Kusner, Robert B.; Sullivan, John M.
9
2003
Upper bounds for the writhing of knots and the helicity of vector fields. Zbl 1006.57008
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
8
2001
A fast direct sampling algorithm for equilateral closed polygons. Zbl 1342.82063
Cantarella, Jason; Duplantier, Bertrand; Shonkwiler, Clayton; Uehara, Erica
6
2016
An energy-driven approach to linkage unfolding. Zbl 1374.68647
Cantarella, Jason H.; Demaine, Erik D.; Iben, Hayley N.; O’Brien, James F.
6
2004
Symmetric criticality for tight knots. Zbl 1290.49085
Cantarella, Jason; Fu, Joseph H. G.; Mastin, Matt; Royal, Jennifer Ellis
5
2014
Rigid origami vertices: conditions and forcing sets. Zbl 1408.51018
Abel, Zachary; Cantarella, Jason; Demaine, Erik D.; Eppstein, David; Hull, Thomas C.; Ku, Jason S.; Lang, Robert J.; Tachi, Tomohiro
5
2016
On comparing the writhe of a smooth curve to the writhe of an inscribed polygon. Zbl 1083.53004
Cantarella, Jason
4
2005
Upper bounds for ropelength as a function of crossing number. Zbl 1037.57003
Cantarella, Jason; Faber, X. W. C.; Mullikin, Chad A.
4
2004
A general mutual helicity formula. Zbl 0988.53002
Cantarella, Jason
4
2000
Random triangles and polygons in the plane. Zbl 1410.52004
Cantarella, Jason; Needham, Tom; Shonkwiler, Clayton; Stewart, Gavin
4
2019
Intrinsic symmetry groups of links with 8 and fewer crossings. Zbl 1351.57004
Berglund, Michael; Cantarella, Jason; Casey, Meredith Perrie; Dannenberg, Eleanor; George, Whitney; Johnson, Aja; Kelley, Amelia; Lapointe, Al; Mastin, Matt; Parsley, Jason; Rooney, Jacob; Whitaker, Rachel
4
2012
Configuration spaces, multijet transversality, and the square-peg problem. Zbl 1498.51016
Cantarella, Jason; Denne, Elizabeth; McCleary, John
4
2022
The expected total curvature of random polygons. Zbl 1357.60017
Cantarella, Jason; Grosberg, Alexander Y.; Kusner, Robert; Shonkwiler, Clayton
3
2015
A fast octree-based algorithm for computing ropelength. Zbl 1099.57004
Ashton, Ted; Cantarella, Jason
3
2005
The 27 possible intrinsic symmetry groups of two-component links. Zbl 1351.57005
Cantarella, Jason; Cornish, James; Mastin, Matt; Parsley, Jason
3
2012
Open and closed random walks with fixed edgelengths in \(\mathbf{\mathbb{R}^d}\). Zbl 1409.60069
Cantarella, Jason; Chapman, Kyle; Reiter, Philipp; Shonkwiler, Clayton
2
2018
Shapes of tight composite knots. Zbl 1244.57011
Cantarella, Jason; Lapointe, Al; Rawdon, Eric J.
1
2012
Configuration spaces, multijet transversality, and the square-peg problem. Zbl 1498.51016
Cantarella, Jason; Denne, Elizabeth; McCleary, John
4
2022
Random triangles and polygons in the plane. Zbl 1410.52004
Cantarella, Jason; Needham, Tom; Shonkwiler, Clayton; Stewart, Gavin
4
2019
Open and closed random walks with fixed edgelengths in \(\mathbf{\mathbb{R}^d}\). Zbl 1409.60069
Cantarella, Jason; Chapman, Kyle; Reiter, Philipp; Shonkwiler, Clayton
2
2018
Knot fertility and lineage. Zbl 1380.57010
Cantarella, Jason; Henrich, Allison; Magness, Elsa; O’Keefe, Oliver; Perez, Kayla; Rawdon, Eric; Zimmer, Briana
10
2017
The symplectic geometry of closed equilateral random walks in 3-space. Zbl 1408.53109
Cantarella, Jason; Shonkwiler, Clayton
15
2016
Knot probabilities in random diagrams. Zbl 1353.82083
Cantarella, Jason; Chapman, Harrison; Mastin, Matt
10
2016
A fast direct sampling algorithm for equilateral closed polygons. Zbl 1342.82063
Cantarella, Jason; Duplantier, Bertrand; Shonkwiler, Clayton; Uehara, Erica
6
2016
Rigid origami vertices: conditions and forcing sets. Zbl 1408.51018
Abel, Zachary; Cantarella, Jason; Demaine, Erik D.; Eppstein, David; Hull, Thomas C.; Ku, Jason S.; Lang, Robert J.; Tachi, Tomohiro
5
2016
The expected total curvature of random polygons. Zbl 1357.60017
Cantarella, Jason; Grosberg, Alexander Y.; Kusner, Robert; Shonkwiler, Clayton
3
2015
Probability theory of random polygons from the quaternionic viewpoint. Zbl 1300.60026
Cantarella, Jason; Deguchi, Tetsuo; Shonkwiler, Clayton
10
2014
Ropelength criticality. Zbl 1305.57008
Cantarella, Jason; Fu, Joseph H. G.; Kusner, Robert B.; Sullivan, John M.
9
2014
Symmetric criticality for tight knots. Zbl 1290.49085
Cantarella, Jason; Fu, Joseph H. G.; Mastin, Matt; Royal, Jennifer Ellis
5
2014
Intrinsic symmetry groups of links with 8 and fewer crossings. Zbl 1351.57004
Berglund, Michael; Cantarella, Jason; Casey, Meredith Perrie; Dannenberg, Eleanor; George, Whitney; Johnson, Aja; Kelley, Amelia; Lapointe, Al; Mastin, Matt; Parsley, Jason; Rooney, Jacob; Whitaker, Rachel
4
2012
The 27 possible intrinsic symmetry groups of two-component links. Zbl 1351.57005
Cantarella, Jason; Cornish, James; Mastin, Matt; Parsley, Jason
3
2012
Shapes of tight composite knots. Zbl 1244.57011
Cantarella, Jason; Lapointe, Al; Rawdon, Eric J.
1
2012
Knot tightening by constrained gradient descent. Zbl 1261.49007
Ashton, Ted; Cantarella, Jason; Piatek, Michael; Rawdon, Eric J.
22
2011
A new cohomological formula for helicity in \(\mathbb R^{2k+1}\) reveals the effect of a diffeomorphism on helicity. Zbl 1206.57033
Cantarella, Jason; Parsley, Jason
10
2010
Criticality for the Gehring link problem. Zbl 1129.57006
Cantarella, Jason; Fu, Joseph H. G.; Kusner, Rob; Sullivan, John M.; Wrinkle, Nancy C.
19
2006
On comparing the writhe of a smooth curve to the writhe of an inscribed polygon. Zbl 1083.53004
Cantarella, Jason
4
2005
A fast octree-based algorithm for computing ropelength. Zbl 1099.57004
Ashton, Ted; Cantarella, Jason
3
2005
An energy-driven approach to linkage unfolding. Zbl 1374.68647
Cantarella, Jason H.; Demaine, Erik D.; Iben, Hayley N.; O’Brien, James F.
6
2004
Upper bounds for ropelength as a function of crossing number. Zbl 1037.57003
Cantarella, Jason; Faber, X. W. C.; Mullikin, Chad A.
4
2004
Circles minimize most knot energies. Zbl 1030.57006
Abrams, Aaron; Cantarella, Jason; Fu, Joseph H. G.; Ghomi, Mohammad; Howard, Ralph
33
2003
The second hull of knotted curve. Zbl 1054.53003
Cantarella, Jason; Kuperberg, Greg; Kusner, Robert B.; Sullivan, John M.
9
2003
On the minimum ropelength of knots and links. Zbl 1036.57001
Cantarella, Jason; Kusner, Robert B.; Sullivan, John M.
72
2002
Vector calculus and the topology of domains in 3-space. Zbl 1038.53017
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
53
2002
The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. Zbl 1006.78003
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
20
2001
Upper bounds for the writhing of knots and the helicity of vector fields. Zbl 1006.57008
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman
8
2001
Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators. Zbl 1054.78500
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman; Teytel, Mikhail
19
2000
A general mutual helicity formula. Zbl 0988.53002
Cantarella, Jason
4
2000
Nontrivial embeddings of polygonal intervals and unknots in 3-space. Zbl 0916.57011
Cantarella, Jason; Johnston, Heather
14
1998
all top 5

Cited by 411 Authors

14 Cantarella, Jason H.
13 von der Mosel, Heiko
11 Diao, Yuanan
11 Rawdon, Eric J.
11 Shonkwiler, Clayton
10 Ernst, Claus
10 Reiter, Philipp
8 Blatt, Simon
7 Alonso Rodríguez, Ana
7 Gerner, Wadim
6 Denne, Elizabeth
6 Strzelecki, Paweł
5 Durumeric, Oguz C.
5 Exner, Pavel
5 Komendarczyk, Rafal
5 Needham, Tom
5 Salazar, Gelasio
5 Valli, Alberto
5 Ziegler, Uta
4 Enciso, Alberto
4 Ghiloni, Riccardo
4 Ghomi, Mohammad
4 Kim, Hyoungjun
4 Medina, Carolina
4 Oh, Seungsang
4 Peralta-Salas, Daniel
4 Schumacher, Henrik
4 Sullivan, John Matthew
3 Camaño, Jessika
3 Demaine, Erik D.
3 DeTurck, Dennis M.
3 Even-Zohar, Chaim
3 Fu, Joseph Howland Guthrie
3 Gerlach, Henryk
3 Gluck, Herman
3 Huh, Youngsik
3 Klotz, Alexander R.
3 Lubiw, Anna
3 Millett, Kenneth C.
3 Nagasawa, Takeyuki
3 Scholtes, Sebastian
3 Specogna, Ruben
3 Toussaint, Godfried Theodore
3 Yavari, Arash
3 Yeates, Anthony R.
2 Balandin, Alexander Leonidovich
2 Benedetti, Riccardo
2 Bertolazzi, Enrico
2 Blair, Ryan C.
2 Boscheri, Walter
2 Calvo, Jorge Alberto
2 Chapman, Harrison
2 Chapman, Kyle Leland
2 Cohen, Moshe
2 Dumbser, Michael
2 Eddy, Thomas D.
2 Eppstein, David Arthur
2 Eshraghi, Homayoon
2 Fraas, Martin
2 Frigerio, Roberto
2 Gilsbach, Alexandra
2 Hong, Kyungpyo
2 Hornig, Gunnar
2 Ishizeki, Aya
2 Kawakami, Shoya
2 Kelliher, James P.
2 Kleist, Linda
2 Klemz, Boris
2 Kusner, Rob
2 Lotoreichik, Vladimir
2 Machon, Thomas
2 MacTaggart, David
2 Mastin, Matt
2 Micheletti, Cristian
2 Mucci, Domenico
2 Mullikin, Chad A. S.
2 No, Sungjong
2 Orlandini, Enzo
2 O’Rourke, Joseph
2 Parsley, Jason
2 Peletier, Mark Adriaan
2 Peshkov, Ilya M.
2 Piatek, Michael
2 Planqué, Robert
2 Poon, Sheung-Hung
2 Prior, Christopher B.
2 Ramírez Alfonsín, Jorge Luis
2 Ramírez, Santino
2 Rapetti, Francesca
2 Ricca, Renzo L.
2 Rodríguez, Rodolfo
2 Saracco, Alberto
2 Saygili, Kemal
2 Schiller, Christoph
2 Schlipf, Lena
2 Simon, Jonathan K.
2 Soss, Michael A.
2 Staals, Frank
2 Starostin, Eugene L.
2 Strash, Darren
...and 311 more Authors
all top 5

Cited in 107 Serials

34 Journal of Knot Theory and its Ramifications
19 Journal of Mathematical Physics
18 Topology and its Applications
14 Journal of Physics A: Mathematical and Theoretical
9 Journal of Computational Physics
9 Geometriae Dedicata
7 Computational Geometry
6 Experimental Mathematics
5 Archive for Rational Mechanics and Analysis
4 Annals of Global Analysis and Geometry
3 Israel Journal of Mathematics
3 Journal of Statistical Physics
3 Physics Reports
3 Mathematische Annalen
3 Transactions of the American Mathematical Society
3 Geometry & Topology
3 Forum of Mathematics, Sigma
3 Computational and Mathematical Biophysics
2 American Mathematical Monthly
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Physics Letters. A
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 Bulletin of the London Mathematical Society
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Quarterly of Applied Mathematics
2 Discrete & Computational Geometry
2 The Journal of Geometric Analysis
2 Geometric and Functional Analysis. GAFA
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Calculus of Variations and Partial Differential Equations
2 Advances in Computational Mathematics
2 Algebraic & Geometric Topology
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Involve
2 Symmetry
2 Molecular Based Mathematical Biology
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 SIAM Journal on Applied Algebra and Geometry
1 Modern Physics Letters A
1 Computers & Mathematics with Applications
1 Information Processing Letters
1 Journal of Fluid Mechanics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Calcolo
1 Journal of Differential Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Applied Numerical Mathematics
1 Optimization
1 SIAM Journal on Discrete Mathematics
1 Journal of Scientific Computing
1 International Journal of Computational Geometry & Applications
1 The Annals of Applied Probability
1 Differential Geometry and its Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Expositiones Mathematicae
1 Journal of Mathematical Imaging and Vision
1 SIAM Journal on Scientific Computing
1 Russian Journal of Mathematical Physics
1 Applied and Computational Harmonic Analysis
1 Kyushu Journal of Mathematics
1 Computational and Applied Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Advances in Differential Equations
1 Journal for Geometry and Graphics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Fluid Mechanics
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Forma
1 International Journal of Geometric Methods in Modern Physics
1 Inverse Problems and Imaging
1 Operators and Matrices
1 The College Mathematics Journal
1 SIAM Journal on Imaging Sciences
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Calculus of Variations
...and 7 more Serials
all top 5

Cited in 41 Fields

128 Manifolds and cell complexes (57-XX)
73 Differential geometry (53-XX)
46 Partial differential equations (35-XX)
37 Fluid mechanics (76-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
28 Convex and discrete geometry (52-XX)
25 Numerical analysis (65-XX)
23 Global analysis, analysis on manifolds (58-XX)
19 Probability theory and stochastic processes (60-XX)
19 Biology and other natural sciences (92-XX)
18 Optics, electromagnetic theory (78-XX)
17 Computer science (68-XX)
15 Combinatorics (05-XX)
15 Algebraic topology (55-XX)
15 Statistical mechanics, structure of matter (82-XX)
13 Mechanics of deformable solids (74-XX)
12 Dynamical systems and ergodic theory (37-XX)
10 Quantum theory (81-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Functional analysis (46-XX)
5 Mechanics of particles and systems (70-XX)
4 Algebraic geometry (14-XX)
4 Real functions (26-XX)
4 Measure and integration (28-XX)
4 Geometry (51-XX)
3 Functions of a complex variable (30-XX)
3 Integral transforms, operational calculus (44-XX)
3 Integral equations (45-XX)
3 Operator theory (47-XX)
3 Information and communication theory, circuits (94-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Potential theory (31-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year