Jeanne N. Clelland

Research Publications and Preprints

• J.N. Clelland, T. Klotz, and P.J. Vassiliou, “Cascade Linearization of Invariant Control Systems II: Dynamic Feedback Linearization,” preprint.
• J.N. Clelland, D. DeFord, and M. Duchin, “Aftermath: The Ensemble Approach to Political Redistricting,” to appear in Math Horizons.
  
• R.L. Bryant and J.N. Clelland, “Flat metrics with a prescribed derived coframing,” to appear in SIGMA.
  
• J.N. Clelland, and T. Klotz, “Beltrami fields with non-constant proportionality factor via moving frames,” Arch. Ration. Mech. Anal. (2019). Published electronically at http://link.springer.com/article/10.1007/s00205-019-01481-7.
  
• J.N. Clelland, Y. Hu, and M.W. Stackpole, “Dynamic Equivalence of Control Systems and Infinite Permutation Matrices,” SIGMA 15 (2019), 063, 16 pages. Published electronically at http://www.emis.de/journals/SIGMA/2019/063/
  
• J.N. Clelland, T.A. Ivey, N. Tehseen, and P.J. Vassiliou, “Isometric Embedding and Darboux Integrability,” Geom. Dedicata 203 (2019), 353-388. Published electronically at https://doi.org/10.1007/s10711-019-00441-5.
  
• J.N. Clelland and T.A. Ivey, “Geometric characterization and classification of Backlund transformations of sine-Gordon type," Journal of Integrable Systems 3 (2018), 1-44.  Published electronically at https://doi.org/10.1093/integr/xyy018.
  
• J.N. Clelland, "A counterexample to Matsumoto's conjecture regarding absolute length vs. relative length in Finsler manifolds," Rep. Math. Phys. 82 (2018), no. 1, 21-26.
  
• G.-Q. Chen,  J. Clelland, M. Slemrod, D. Wang, and D. Yang, "Isometric embedding via strongly symmetric positive systems," Asian J. Mathematics 22 (2018), 1-40.
  
• J.N. Clelland, From Frenet to Cartan: The Method of Moving Frames, Graduate Studies in Mathematics 178, American Mathematical Society (2017), 414 pp.
  
• N. Bushek and J.N. Clelland, "Geometry of centroaffine surfaces in $\mathbb{R}^5$," SIGMA 11 (2015), 001, 24 pages.  Published electronically at http://www.emis.de/journals/SIGMA/2015/001/.
  
• J.N. Clelland and J.M. Miller, "A characterization of hyperbolic affine flat, affine minimal surfaces in $A^3$," Differential Geometry And Its Applications 36 (2014) 134-148.
• J.N. Clelland and P.J. Vassiliou, "A Solvable String on a Lorentzian Surface,"Differential Geometry And Its Applications 33 suppl. (2014) 177-198.
• J. Clelland, E. Estrada, M. May, J. Miller, S. Peneyra, and M. Schmidt, "A Tale of Two Arc Lengths: Metric notions for curves in surfaces in equiaffine space," Proceedings of the American Mathematical Society 142 (2014), 2543-2558.
  
• B. Carlsen and J.N. Clelland, "The geometry of lightlike surfaces in Minkowski space," Journal of Geometry and Physics 74 (2013), 43-55.
•  J.N. Clelland, C.G. Moseley, and G.R. Wilkens, "Geometry of optimal control for control-affine systems," SIGMA 9 (2013), 034, 31 pages.  Published electronically at http://www.emis.de/journals/SIGMA/2013/034/.
• J.N. Clelland, "Totally quasi-umbilic timelike surfaces in $R^{1,2}$," Asian Journal of Mathematics 16 (2012), 189-208.
• J.N. Clelland, C.G. Moseley, and G.R. Wilkens," Geometry of control-affine systems," SIGMA 5 (2009), 095, 28 pages.  Published electronically at http://www.emis.de/journals/SIGMA/2009/095/.
• J.N. Clelland and T.A. Ivey,  "Backlund Transformations and Darboux Integrability for Nonlinear Wave Equations," Asian Journal of Mathematics 13 (2009), 15-64.
• J.N. Clelland, M. Kossowski, and G.R. Wilkens, "Second-order type-changing evolution equations with first-order intermediate equations," Journal of Differential Equations 244 (2008) 242-273.
• J.N. Clelland, M. Kossowski, and G.R. Wilkens, "Constructing topologically distinct energy-critical curves in the path space of the Euclidean line,"Journal of Differential Equations 241 (2007), 305-331. 
• J.N. Clelland, C.G. Moseley, and G.R. Wilkens, "Geometry of sub-Finsler Engel manifolds," Asian Journal of Mathematics 11 (2007), 699-726.
• J. N. Clelland and C.G. Moseley, "Sub-Finsler geometry in dimension three," Differential Geometry And Its Applications 24 (2006), 628-651.
• J.N. Clelland and T.A. Ivey, "Parametric Backlund transformations I: Phenomenology," Transactions of the American Mathematical Society 357 (2005), 1061-1093.
• J.N. Clelland, "Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems," Asian J. Math 6 (2002), 433-480.
• J.N. Clelland, "A Backlund transformation for timelike surfaces of constant mean curvature in R^{1,2}," Backlund and Darboux Transformations. The Geometry of Solitons, CRM Proc. Lecture Notes 29., American Mathematical Society (2001) 141-150.
• J.N. Clelland, "On the intermediate integral for Monge-Ampere equations," Proceedings of the American Mathematical Society 128 (2000), 527-531.
• J.N. Clelland, "Geometry of conservation laws for a class of parabolic PDEs II: normal forms for equations with conservation laws," Selecta Mathematica, New Series 3 (1997), 497-515.
• J.N. Clelland, "Geometry of conservation laws for a class of parabolic partial differential equations," Selecta Mathematica, New Series 3 (1997), 1-77.
• J.A. Nielsen, "Rewritable sequencings of groups," Ars Combinatoria 36 (1993), 207-214.