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.
EXPOSITORY PAPERS!
- [2011] J. Curry, R. Ghrist, and M. Robinson, “Euler calculus and its applications to signals and sensing,” draft, May 2011. (fairly comprehensive survey of Euler calc applications)
- [2010] R. Ghrist, “Applied Algebraic Topology & Sensor Networks,” a manu-script text. (caveat! file>50megs!)
- [2010] R. Ghrist, “Configuration spaces, braids, and robotics,” Lecture Note Series, Inst. Math. Sci., NUS, vol. 19, World Scientific, 263-304.
- [2008] R. Ghrist, “Barcodes: The persistent topology of data,'' Bull. Amer. Math. Soc., 45(1) 61-75. Published article available from the AMS.
- [2008] R. Ghrist, “Three examples of applied and computational homology," Nieuw Archief voor Wiskunde 5/9(2).
- [2007] V. de Silva and R. Ghrist, “Homological sensor networks,” Notices Amer. Math. Soc., 54(1), 10-17. Published article available from the AMS.
- [2007] R. Ghrist, “On the contact geometry and topology of ideal fluids,” Handbook of Mathematical Fluid Dynamics, Vol. IV., 1-38.
- [2006] R. Ghrist “Braids and differential equations,'' in Proc. International Congress of Mathematicians, vol. III, 1-26.
- [2002] A. Abrams and R. Ghrist, “Finding topology in a factory: configuration space,” Amer. Math. Monthly, 109, 140-150.
- [1998] R. Ghrist, “Chaotic knots and wild dynamics”, Chaos, Solitons, and Fractals, 9(4/5), 583-598.
- [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.