click on the links to download preprints...

all versions are pre-publication drafts with eventual publication citations as listed

the author gratefully acknowledges the support of DARPA, the NSF, the AFOSR, and the ONR; of course, that doesn't mean they endorse what is written. neither does the university of pennsylvania. in fact, i don't think anyone except me and a few coauthors endorse the opinions expressed in these works. and even then, it's not a slam-dunk.



  1. [2010] R. Ghrist, J.B. Van den Berg, R. Vandervorst, and W. Wojcik, “Braid Floer homology,” submitted.
  2. [2009] S. Alexander, R. Bishop, and R. Ghrist, "Capture pursuit games on unbounded domains," Ensiegn. Math., 55, 103-125.
  3. [2009] R. Ghrist and R. Vandervorst, “Braids and parabolic scalar PDEs,'' Transactions Amer. Math. Soc., 361, 2755-2788.
  4. [2008] R. Ghrist, “Three examples of applied and computational homology," Nieuw Archief voor Wiskunde 5/9(2).
  5. [2008] J. Jung and R. Ghrist, “Pareto optimal multi-robot coordination with acceleration constraints,” in Proc. Intl. Conf. Robotics & Automation.
  6. [2007] R. Ghrist, “On the contact geometry and topology of ideal fluids,” Handbook of Mathematical Fluid Dynamics, Vol. IV., 1-38.
  7. [2006] R. Ghrist and R. Komendarczyk, “Overtwisted energy-minimizing curl eigenfields,” Nonlinearity, 19(1), 41-52.
  8. [2005] J. Etnyre and R. Ghrist, “Generic hydrodynamic instability for curl eigenfields,” SIAM J. Appl. Dynamical Systems, 4(2), 377-390.
  9. [2006] R. Ghrist “Braids and differential equations,'' in Proc. International Congress of Mathematicians, vol. III, 1-26.
  10. [2004] R. Ghrist and E. Kin, “Flowlines transervse to knot and link fibrations,” Pacific J. Math., 217(1), 61-86.
  11. [2003] R. Ghrist, J.B.Van den Berg, and R.C. Vandervorst, “Morse theory on braids with applications to Lagrangian systems,” Invent. Math., 152(2), 369-432.
  12. [2002] J. Etnyre and R. Ghrist, “Contact topology and hydrodynamics II: Solid tori,” Ergod. Thy. & Dyn. Sys., 22(3), 819-833.
  13. [2002] J. Etnyre and R. Ghrist, “Contact topology and Anosov flows,” Top. & its Appl., 124 (2), 211-219.
  14. [2002] R. Ghrist and D. Koditschek, “Safe cooperative robot dynamics on graphs,” SIAM J. Cont. & Opt., 40(5), 1556-1575.
  15. [2002] R. Ghrist and R. Komendarczyk, “Topological features of inviscid flows,” in Introduction to the Geometry and Topology of Fluid Flows, NATO-ASI Series II, vol. 47, Kluwer Press, 183-202.
  16. [2001] J. Etnyre and R. Ghrist, “An index for closed orbits in Beltrami fields,” Physica D, 159(3-4), 180-189.
  17. [2001] R. Ghrist, “Steady nonintegrable high-dimensional fluids,” Lett. Math. Phys., 55(3), 193-204.
  18. [2000] R. Ghrist, J.B.Vandenberg, and R.C. Vandervorst, “Closed characteristics of fourth-order twist systems via braids,” C. R. Acad. Sci. Paris Ser. I, 331, 861- 865.
  19. [2000] J. Etnyre and R. Ghrist,) “Contact topology and hydrodynamics III: knotted orbits,” Trans. Amer. Math. Soc., 352, 5781-5794.
  20. [2000] R. Ghrist, “Resonant gluing bifurcations,” Intl. J. Bifurcation and Chaos, 10(9), 2141-2160.
  21. [2000] J. Etnyre and R. Ghrist, “Contact topology and hydrodynamics I: Beltrami fields and the Seifert Conjecture,” Nonlinearity 13, 441-458.
  22. [2000] R. Ghrist, E. Klavins, and D. Koditschek, “Cyclic regulation of patterns,'' Proc. Workshop on Algorithmic Foundations of Robotics, B. Donald, K. Lynch, and D. Rus, eds., 205-220.
  23. [1999] J. Etnyre and R. Ghrist, “Plane field flows,” Comment. Math. Helv., 74, 507-529.
  24. [1999] J. Etnyre and R. Ghrist, “Construction of tight 3-manifolds via dynamics,” Proc. Amer. Math. Soc., 127, 3697-3706.
  25. [1999] J. Etnyre and R. Ghrist, “Stratified integrals and unknots in inviscid flows,” Cont. Math., 246,99-112.
  26. [1999] R. Ghrist and D. Koditschek, “Safe Cooperative Robot Dynamics on Graphs,'' in Hybrid Systems and AI: Modeling, Analysis and Control of Discrete and Continuous Systems, AAAI, SS-99-05, 65-70.
  27. [1998] R. Ghrist and T. Young, “From Morse-Smale to all links,” Nonlinearity, 11, 1111-1125.
  28. [1998] R. Ghrist, “Chaotic knots and wild dynamics”, Chaos, Solitons, and Fractals, 9(4/5), 583-598.
  29. [1997] R. Ghrist, P. Holmes, and M. Sullivan, Knots and Links in Three-Dimensional Flows, Lecture Notes in Mathematics, Volume 1654, Springer-Verlag.
  30. [1997] R. Ghrist, “Accumulations of infinite links,” Topology and its Applications, 81, 171-184.
  31. [1997] R. Ghrist, “Branched 2-manifolds supporting all links,” Topology, 36(2), 423-438.
  32. [1996] R. Ghrist and P. Holmes, “An ODE whose solutions contain all knots,” Intl. J. Bifurcation and Chaos, 6(5), 779-800.
  33. [1995] R. Ghrist, “Flows on S3 supporting all links as orbits,” Electronic Research Announcements of the AMS, 1(2), 91-97.
  34. [1994] R. Ghrist and P. Holmes, “Knotting within the gluing bifurcation,'' in IUTAM Symposium on Nonlinearity and Chaos in Engineering Dynamics, J. M. T. Thompson and S. R. Bishop, Ed., John Wiley Press, 299-315.
  35. [1993] R. Ghrist and P. Holmes, “Knots and orbit genealogies in three dimensional flows,'' in Bifurcations and Periodic Orbits of Vector Fields, NATO ASI Series C, Volume 408, Kluwer Academic Publishers, 185-239.