On the minimum ropelength of knots and links. Zbl 1036.57001
Cantarella, Jason; Kusner, Robert B.; Sullivan, John M. |
|
2002
|
Vector calculus and the topology of domains in 3-space. Zbl 1038.53017
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman |
|
2002
|
Circles minimize most knot energies. Zbl 1030.57006
Abrams, Aaron; Cantarella, Jason; Fu, Joseph H. G.; Ghomi, Mohammad; Howard, Ralph |
|
2003
|
Knot tightening by constrained gradient descent. Zbl 1261.49007
Ashton, Ted; Cantarella, Jason; Piatek, Michael; Rawdon, Eric J. |
|
2011
|
The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. Zbl 1006.78003
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman |
|
2001
|
Criticality for the Gehring link problem. Zbl 1129.57006
Cantarella, Jason; Fu, Joseph H. G.; Kusner, Rob; Sullivan, John M.; Wrinkle, Nancy C. |
|
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 |
|
2000
|
The symplectic geometry of closed equilateral random walks in 3-space. Zbl 1408.53109
Cantarella, Jason; Shonkwiler, Clayton |
|
2016
|
Nontrivial embeddings of polygonal intervals and unknots in 3-space. Zbl 0916.57011
Cantarella, Jason; Johnston, Heather |
|
1998
|
Probability theory of random polygons from the quaternionic viewpoint. Zbl 1300.60026
Cantarella, Jason; Deguchi, Tetsuo; Shonkwiler, Clayton |
|
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 |
|
2010
|
Knot probabilities in random diagrams. Zbl 1353.82083
Cantarella, Jason; Chapman, Harrison; Mastin, Matt |
|
2016
|
Knot fertility and lineage. Zbl 1380.57010
Cantarella, Jason; Henrich, Allison; Magness, Elsa; O’Keefe, Oliver; Perez, Kayla; Rawdon, Eric; Zimmer, Briana |
|
2017
|
Ropelength criticality. Zbl 1305.57008
Cantarella, Jason; Fu, Joseph H. G.; Kusner, Robert B.; Sullivan, John M. |
|
2014
|
The second hull of knotted curve. Zbl 1054.53003
Cantarella, Jason; Kuperberg, Greg; Kusner, Robert B.; Sullivan, John M. |
|
2003
|
Upper bounds for the writhing of knots and the helicity of vector fields. Zbl 1006.57008
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman |
|
2001
|
A fast direct sampling algorithm for equilateral closed polygons. Zbl 1342.82063
Cantarella, Jason; Duplantier, Bertrand; Shonkwiler, Clayton; Uehara, Erica |
|
2016
|
An energy-driven approach to linkage unfolding. Zbl 1374.68647
Cantarella, Jason H.; Demaine, Erik D.; Iben, Hayley N.; O’Brien, James F. |
|
2004
|
Symmetric criticality for tight knots. Zbl 1290.49085
Cantarella, Jason; Fu, Joseph H. G.; Mastin, Matt; Royal, Jennifer Ellis |
|
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 |
|
2016
|
On comparing the writhe of a smooth curve to the writhe of an inscribed polygon. Zbl 1083.53004
Cantarella, Jason |
|
2005
|
Upper bounds for ropelength as a function of crossing number. Zbl 1037.57003
Cantarella, Jason; Faber, X. W. C.; Mullikin, Chad A. |
|
2004
|
A general mutual helicity formula. Zbl 0988.53002
Cantarella, Jason |
|
2000
|
Random triangles and polygons in the plane. Zbl 1410.52004
Cantarella, Jason; Needham, Tom; Shonkwiler, Clayton; Stewart, Gavin |
|
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 |
|
2012
|
Configuration spaces, multijet transversality, and the square-peg problem. Zbl 1498.51016
Cantarella, Jason; Denne, Elizabeth; McCleary, John |
|
2022
|
The expected total curvature of random polygons. Zbl 1357.60017
Cantarella, Jason; Grosberg, Alexander Y.; Kusner, Robert; Shonkwiler, Clayton |
|
2015
|
A fast octree-based algorithm for computing ropelength. Zbl 1099.57004
Ashton, Ted; Cantarella, Jason |
|
2005
|
The 27 possible intrinsic symmetry groups of two-component links. Zbl 1351.57005
Cantarella, Jason; Cornish, James; Mastin, Matt; Parsley, Jason |
|
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 |
|
2018
|
Shapes of tight composite knots. Zbl 1244.57011
Cantarella, Jason; Lapointe, Al; Rawdon, Eric J. |
|
2012
|
Configuration spaces, multijet transversality, and the square-peg problem. Zbl 1498.51016
Cantarella, Jason; Denne, Elizabeth; McCleary, John |
|
2022
|
Random triangles and polygons in the plane. Zbl 1410.52004
Cantarella, Jason; Needham, Tom; Shonkwiler, Clayton; Stewart, Gavin |
|
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 |
|
2018
|
Knot fertility and lineage. Zbl 1380.57010
Cantarella, Jason; Henrich, Allison; Magness, Elsa; O’Keefe, Oliver; Perez, Kayla; Rawdon, Eric; Zimmer, Briana |
|
2017
|
The symplectic geometry of closed equilateral random walks in 3-space. Zbl 1408.53109
Cantarella, Jason; Shonkwiler, Clayton |
|
2016
|
Knot probabilities in random diagrams. Zbl 1353.82083
Cantarella, Jason; Chapman, Harrison; Mastin, Matt |
|
2016
|
A fast direct sampling algorithm for equilateral closed polygons. Zbl 1342.82063
Cantarella, Jason; Duplantier, Bertrand; Shonkwiler, Clayton; Uehara, Erica |
|
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 |
|
2016
|
The expected total curvature of random polygons. Zbl 1357.60017
Cantarella, Jason; Grosberg, Alexander Y.; Kusner, Robert; Shonkwiler, Clayton |
|
2015
|
Probability theory of random polygons from the quaternionic viewpoint. Zbl 1300.60026
Cantarella, Jason; Deguchi, Tetsuo; Shonkwiler, Clayton |
|
2014
|
Ropelength criticality. Zbl 1305.57008
Cantarella, Jason; Fu, Joseph H. G.; Kusner, Robert B.; Sullivan, John M. |
|
2014
|
Symmetric criticality for tight knots. Zbl 1290.49085
Cantarella, Jason; Fu, Joseph H. G.; Mastin, Matt; Royal, Jennifer Ellis |
|
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 |
|
2012
|
The 27 possible intrinsic symmetry groups of two-component links. Zbl 1351.57005
Cantarella, Jason; Cornish, James; Mastin, Matt; Parsley, Jason |
|
2012
|
Shapes of tight composite knots. Zbl 1244.57011
Cantarella, Jason; Lapointe, Al; Rawdon, Eric J. |
|
2012
|
Knot tightening by constrained gradient descent. Zbl 1261.49007
Ashton, Ted; Cantarella, Jason; Piatek, Michael; Rawdon, Eric J. |
|
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 |
|
2010
|
Criticality for the Gehring link problem. Zbl 1129.57006
Cantarella, Jason; Fu, Joseph H. G.; Kusner, Rob; Sullivan, John M.; Wrinkle, Nancy C. |
|
2006
|
On comparing the writhe of a smooth curve to the writhe of an inscribed polygon. Zbl 1083.53004
Cantarella, Jason |
|
2005
|
A fast octree-based algorithm for computing ropelength. Zbl 1099.57004
Ashton, Ted; Cantarella, Jason |
|
2005
|
An energy-driven approach to linkage unfolding. Zbl 1374.68647
Cantarella, Jason H.; Demaine, Erik D.; Iben, Hayley N.; O’Brien, James F. |
|
2004
|
Upper bounds for ropelength as a function of crossing number. Zbl 1037.57003
Cantarella, Jason; Faber, X. W. C.; Mullikin, Chad A. |
|
2004
|
Circles minimize most knot energies. Zbl 1030.57006
Abrams, Aaron; Cantarella, Jason; Fu, Joseph H. G.; Ghomi, Mohammad; Howard, Ralph |
|
2003
|
The second hull of knotted curve. Zbl 1054.53003
Cantarella, Jason; Kuperberg, Greg; Kusner, Robert B.; Sullivan, John M. |
|
2003
|
On the minimum ropelength of knots and links. Zbl 1036.57001
Cantarella, Jason; Kusner, Robert B.; Sullivan, John M. |
|
2002
|
Vector calculus and the topology of domains in 3-space. Zbl 1038.53017
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman |
|
2002
|
The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. Zbl 1006.78003
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman |
|
2001
|
Upper bounds for the writhing of knots and the helicity of vector fields. Zbl 1006.57008
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman |
|
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 |
|
2000
|
A general mutual helicity formula. Zbl 0988.53002
Cantarella, Jason |
|
2000
|
Nontrivial embeddings of polygonal intervals and unknots in 3-space. Zbl 0916.57011
Cantarella, Jason; Johnston, Heather |
|
1998
|