|
topological methods in applied mathematics |
|
preprints |
|
The author gratefully acknowledges the support of DARPA, the National Science Foundation, and the ONR; specifically: ONR - N000140810668 "Algebraic-Topological Structures for Hidden Modes"
|
|
robert ghrist |
|
Y. Baryshnikov and R. Ghrist, Euler integration over definable functions, (posted 6/09), draft of a work-in-progress. Y. Baryshnikov and R. Ghrist, Target enumeration via Euler characteristic integrals, (posted 1/07, updated 3/07, then 6/08), preprint. To appear in SIAM J. Appl. Math. More in progress... Y. Baryshnikov and R. Ghrist, Target enumeration via integration over planar E. Chambers, V. de Silva, J. Erickson, and R. Ghrist, Rips complexes of planar point sets, (posted 12/07), preprint, to appear in Disc. Comput. Geom. V. de Silva and R. Ghrist, Coordinate-free coverage in sensor networks with controlled boundaries via homology, (posted 8/05, revised, 1/06), Intl. J. Robotics Research. 25(12), 1205--1222, 2006. V. de Silva and R. Ghrist, Homological sensor networks, (posted 11/05), Notices American Mathematical Society, 54(1), 10--17, 2007. V. de Silva and R. Ghrist, Coverage in sensor networks via persistent homology, (posted 11/05), Alg. & Geom. Topology, 7, 339-358, 2007. R. Ghrist, Winding numbers for networks with weak angular data , (posted 11/06), to appear in Topology and Robotics, M. Farber, R. Ghrist, M. Berger, and D. Koditschek eds., Contemporary Mathematics 438, AMS, 1-18, 2007. R. Ghrist, D. Lipsky, S. Poduri, and G. Sukhatme, Surrounding nodes in coordinate-free networks, (posted 6/06), Proc. Workshop in Algorithmic Foundations of Robotics, 2006. V. de Silva, R. Ghrist and A. Muhammad, Blind swarms for coverage in 2-d, (posted 1/05), in Proc. Robotics Systems & Science, 2005. |
|
All papers on this site are non-official, .pdf preprint versions, distinct from the published version |
|
S. Alexander, R. Bishop, and R. Ghrist, Capture pursuit games on unbounded domains, (posted 1/2008) to appear, Enseign. Math. J. Jung and R. Ghrist, Pareto optimal multi-robot coordination with acceleration constraints, (posted 12/07), Proc. ICRA 2008. R. Ghrist and V. Peterson, The geometry and topology of reconfiguration, (posted 5/05), Advances in Applied Mathematics 38, 302--323, 2007. S. Alexander, R. Bishop, and R. Ghrist, Pursuit and evasion in arbitrary dimensions, (posted 1/06, revised 5/06), Proc. Robotics Systems & Science, 2006. E. Klavins, R. Ghrist, and D. Lipsky, A grammatical approach to self-organizing robotic systems, (posted 7/05, revised 12/05), IEEE Trans. Aut. Controls, 51(6) 949-962, 2006. R. Ghrist, J. O'Kane,and S. LaValle, Computing Pareto optimal coordinations on roadmaps, (posted 1/05), Intl. J. Robotics Research, 12(11), 997--1010, 2005. A. Yershova, B. Tovar, R. Ghrist, and S. LaValle, BitBots: Simple robots solving complex tasks. In Proc. AAAI, 2005. R. Ghrist and S. LaValle, Nonpositive curvature and Pareto-optimal coordination of robots, (posted 9/04, revised 2/06), SIAM J. Control & Optimization, 45(5), 1697--1713, 2006. E. Klavins, R. Ghrist, and D. Lipsky, Graph grammars for self-assembling robotic systems, (posted 11/02), in Proc. Intl. Conf. Robotics and Automation 2004 R. Ghrist, J. OKane, and S. LaValle, Pareto-optimal coordination on roadmaps, (posted 2/04), in Proc. Workshop in Algorithmic Foundations of Robotics 2004. A. Abrams and R. Ghrist, State complexes for metamorphic robot systems, (posted 4/03, revised 8/03), preprint. Intl. J. of Robotics Research, 23(7,8), 809--824, 2004. R. Ghrist, Shape complexes for metamorphic robot systems, (posted 7/02, revised 11/02), in Proc. Workshop in Algorithmic Foundations of Robotics 2002. R. Ghrist and D. Koditschek, Safe, cooperative robot dynamics on graphs , (posted 2/00), SIAM J. Control & Optimization, 40(5), 1556-1575, 2002. A. Abrams and R. Ghrist, Finding topology in a factory: configuration spaces, (posted 9/00), American Mathematics Monthly, 109, 140-150, February 2002. R. Ghrist, Configuration spaces and braid groups on graphs in robotics, (posted, 10/98). In Braids, Links, and Mapping Class Groups: the Proceedings of Joan Birmans 70th Birthday, AMS/IP Studies in Mathematics volume 24, 29-40, 2001. R. Ghrist and D. Koditschek, Safe cooperative robotic motions via dynamics on graphs, Eighth Intl. Symp. on Robotic Research, Y. Nakayama, ed., Springer-Verlag, 81-92, 1998. |
|
R. Ghrist, On the contact topology and geometry of ideal fluids, (posted 12/05), Handbook of Mathematical Fluid Dynamics vol. IV, 1-38, 2007. R. Ghrist and R. Komendarczyk, Overtwisted energy-minimizing curl eigenfields, (posted 12/04), preprint version. Nonlinearity, 19(1), 41--52, 2006. J. Etnyre and R. Ghrist, Generic hydrodynamic instability for curl eigenfields, (posted 6/03), SIAM J. Appl. Dynamical Systems, 22(3), 819-833, 2005. J. Etnyre and R. Ghrist, An index for closed orbits of Beltrami fields, (posted 1/01), Physica D 159, 180-189, 2001. R. Ghrist, Steady nonintegrable high-dimensional fluids, (posted 9/00), Lett. Math. Phys. 55: 193-204, 2001. R. Ghrist and R. Komendarczyk, Topological features of inviscid flows, (updated 7/01), in Geometry and Topology of Fluids, NATO ASI Series II vol. 47, Kluwer Press, 183-202, 2002. J. Etnyre and R. Ghrist, Contact topology and hydrodynamics III: knotted flowlines, (posted 6/99), Transactions of the Amer. Math. Soc., 352, 5781-5794, 2000. J. Etnyre and R. Ghrist, Contact topology and hydrodynamics II: solid tori, (posted 7/99, revised 1/01), Ergodic Theory & Dynamical Systems ,22 no. 3, 819--833, 2002. J. Etnyre and R. Ghrist, Contact topology and hydrodynamics I: Beltrami fields and the Seifert Conjecture, (revised, 2/99), Nonlinearity 13, 441-458, 2000. J. Etnyre and R. Ghrist, Contact topology and Anosov flows, (revised 9/99), in Topology & its Applications, 124 no. 2, 211--219, 2002. J. Etnyre and R. Ghrist, Tight contact structures via dyanmics, (revised 7/98). Proc. Amer. Math. Soc., 127, 3697-3706, 1999. J. Etnyre and R. Ghrist, Stratified integrals and unknots in inviscid flows, (revised, 4/99), Contemporary Mathematics, 246, 99-112, 1999. |
|
R. Ghrist, Braids and differential equations, (posted 12/00), Proceedings International Congress of Mathematicians, vol III, 2006, 1-26. R. Ghrist and R.C. Vandervorst, Braids and scalar parabolic PDEs, (posted 4/04). Trans. Amer. Math. Soc., to appear. R. Ghrist and E. Kin, Flowlines transverse to knot and link fibrations, (posted 1/03, revised 11/03). Pacific J. Math., 217(1), 61-86, 2004. R. Ghrist, J.B.Vandenberg, and R.C. Vandervorst, Morse theory on spaces of braids with applications to Lagrangian dynamics, (posted 5/01, updated 10/02). Invent. Math. 152(no.2), 369-432, 2003. R. Ghrist and R. Vandervorst, Braids and parabolic dynamics, (posted 6/02), in Proceedings of New Directions in Dynamics Systems: Kyoto 2002. R. Ghrist, J.B.Vandenberg, and R.C. Vandervorst, Closed characteristics of fourth-order twist systems via braids, (posted 4/00), Comptes Rendues de lAcademie des Sciences I, 331, 861-865, 2000. R. Ghrist, Resonant gluing bifurcations, (posted 9/99), Intl. J. Bifurcation and Chaos, 10 (9), 2141-2160, 2000. J. Etnyre and R. Ghrist, Gradient flows on plane fields, (revised 4/99), Commentarii Mathematici Helvetici, 74, 507-529, 1999. R. Ghrist and T. Young, From Morse-Smale to all knots and links, Nonlinearity (11), 1111-1125, 1998. R. Ghrist, Accumulations of infinite links, Topology and its Applications, (81), 171-184, 1997. R. Ghrist, P. Holmes, and M. Sullivan, Knots and Links in Three-Dimensional Flows. Springer Lecture Notes in Mathematics, Volume 1654, Springer-Verlag, Berlin, 1997. R. Ghrist, Branched 2-manifolds supporting all links, Topology, 36(2), 423-438, 1997. R. Ghrist and P. Holmes, An ODE whose solutions contain all knots, Int. J. of Bifurcation and Chaos, 6(5), 779-800, 1996. R. Ghrist, Flows on S3 supporting all links as orbits, Electronic Research Announcements of the AMS, 1(2), 91-97, 1995. |
|
R. Ghrist, Three examples of applied and computational homology, (posted 6/08), to appear in Nieuw Archief voor Wiskunde 5/9 no. 2, June 2008. R. Ghrist, Barcodes: the persistent topology of data, (posted 11/06), Amer. Math. Soc. Current Events Bulletin, Jan. 2007. Revised version in Bull. Amer. Math. Soc., 45(1), 61-75, 2008. R. Ghrist, Configuration space, braids, and robotics, (posted 4/07), survey for summer school on braids & applications at the National University of Singapore. V. de Silva and R. Ghrist, Homological sensor networks, (posted 11/05), Notices Amer. Math. Soc., 54(1), 2007, 10--17. R. Ghrist, On the contact topology and geometry of ideal fluids, (posted 12/05), Handbook of Mathematical Fluid Dynamics vol. IV, 1-38, 2007. R. Ghrist, Braids and differential equations, (posted 12/00), Proceedings International Congress of Mathematicians, vol. III, 1-26, 2006. R. Ghrist and R. Komendarczyk, Topological features of inviscid flows, (updated 7/01), Geometry and Topology of Fluids, NATO ASI Series II vol. 47, Kluwer Press, 183-202, 2002. A. Abrams and R. Ghrist, Finding topology in a factory: configuration spaces, (posted 9/00), American Mathematics Monthly, 109, 140-150, February 2002. R. Ghrist, Chaotic knots and wild dynamics, Chaos, Solitons, and Fractals (9:4/5), 583-598, 1998. |
