Robert Ghrist - Publications

Affiliations: 
Mathematics University of Pennsylvania, Philadelphia, PA, United States 
Area:
Topological Methods in Applied Mathematics

31 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Hansen J, Ghrist R. Toward a spectral theory of cellular sheaves Arxiv: Algebraic Topology. 3: 315-358. DOI: 10.1007/S41468-019-00038-7  0.343
2018 Bhattacharya S, Ghrist R. Path homotopy invariants and their application to optimal trajectory planning Annals of Mathematics and Artificial Intelligence. 84: 139-160. DOI: 10.1007/S10472-018-9596-8  0.363
2017 Ghrist R, Krishnan S. Positive Alexander Duality for Pursuit and Evasion Siam Journal On Applied Algebra and Geometry. 1: 308-327. DOI: 10.1137/16M1089083  0.328
2016 Giusti C, Ghrist R, Bassett DS. Two's company, three (or more) is a simplex : Algebraic-topological tools for understanding higher-order structure in neural data. Journal of Computational Neuroscience. PMID 27287487 DOI: 10.1007/S10827-016-0608-6  0.356
2015 Bhattacharya S, Ghrist R, Kumar V. Persistent Homology for Path Planning in Uncertain Environments Ieee Transactions On Robotics. 31: 578-590. DOI: 10.1109/Tro.2015.2412051  0.337
2015 Berg JBvd, Ghrist R, Vandervorst RC, Wójcik W. Braid Floer homology Journal of Differential Equations. 259: 1663-1721. DOI: 10.1016/J.Jde.2015.03.022  0.357
2015 Curry J, Ghrist R, Nanda V. Discrete Morse Theory for Computing Cellular Sheaf Cohomology Foundations of Computational Mathematics. DOI: 10.1007/S10208-015-9266-8  0.562
2014 Bhattacharya S, Ghrist R, Kumar V. Multi-robot coverage and exploration on Riemannian manifolds with boundaries The International Journal of Robotics Research. 33: 113-137. DOI: 10.1177/0278364913507324  0.356
2013 Bhattacharya S, Lipsky D, Ghrist R, Kumar V. Invariants for homology classes with application to optimal search and planning problem in robotics Annals of Mathematics and Artificial Intelligence. 67: 251-281. DOI: 10.1007/S10472-013-9357-7  0.398
2012 Dłotko P, Ghrist R, Juda M, Mrozek M. Distributed computation of coverage in sensor networks by homological methods Applicable Algebra in Engineering, Communication and Computing. 23: 29-58. DOI: 10.1007/S00200-012-0167-7  0.328
2011 Katsev M, Yershova A, Tovar B, Ghrist R, Lavalle SM. Mapping and Pursuit-Evasion strategies for a simple wall-following robot Ieee Transactions On Robotics. 27: 113-128. DOI: 10.1109/Tro.2010.2095570  0.34
2011 Ghrist R, Robinson M. Euler–Bessel and Euler–Fourier transforms Inverse Problems. 27: 124006. DOI: 10.1088/0266-5611/27/12/124006  0.311
2011 Baryshnikov Y, Ghrist R, Lipsky D. Inversion of Euler integral transforms with applications to sensor data Inverse Problems. 27. DOI: 10.1088/0266-5611/27/12/124001  0.341
2010 Baryshnikov Y, Ghrist R. Euler integration over definable functions. Proceedings of the National Academy of Sciences of the United States of America. 107: 9525-30. PMID 20445085 DOI: 10.1073/Pnas.0910927107  0.304
2010 Chambers EW, Silva Vd, Erickson J, Ghrist R. Vietoris–Rips Complexes of Planar Point Sets Discrete and Computational Geometry. 44: 75-90. DOI: 10.1007/S00454-009-9209-8  0.308
2008 Ghrist R, Vandervorst RC. Scalar parabolic PDEs and braids Transactions of the American Mathematical Society. 361: 2755-2788. DOI: 10.1090/S0002-9947-08-04823-X  0.3
2007 Silva Vd, Ghrist R. Coverage in sensor networks via persistent homology Algebraic & Geometric Topology. 7: 339-358. DOI: 10.2140/Agt.2007.7.339  0.326
2007 Ghrist R. Barcodes: The persistent topology of data Bulletin of the American Mathematical Society. 45: 61-75. DOI: 10.1090/S0273-0979-07-01191-3  0.34
2007 Ghrist R, Peterson V. The geometry and topology of reconfiguration Advances in Applied Mathematics. 38: 302-323. DOI: 10.1016/J.Aam.2005.08.009  0.337
2006 Silva VD, Ghrist R. Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology The International Journal of Robotics Research. 25: 1205-1222. DOI: 10.1177/0278364906072252  0.354
2006 Ghrist R, Lavalle SM. Nonpositive curvature and Pareto optimal coordination of robots Siam Journal On Control and Optimization. 45: 1697-1713. DOI: 10.1137/040609860  0.375
2005 Etnyre JB, Ghrist R. Generic Hydrodynamic Instability of Curl Eigenfields Siam Journal On Applied Dynamical Systems. 4: 377-390. DOI: 10.1137/04060651X  0.304
2004 Abrams A, Ghrist R. State Complexes for Metamorphic Robots The International Journal of Robotics Research. 23: 811-826. DOI: 10.1177/0278364904045468  0.342
2002 Abrams A, Ghrist R. Finding Topology in a Factory: Configuration Spaces American Mathematical Monthly. 109: 140-150. DOI: 10.1080/00029890.2002.11919847  0.361
2002 Etnyre J, Ghrist R. Tight contact structures and Anosov flows Topology and Its Applications. 124: 211-219. DOI: 10.1016/S0166-8641(01)00232-2  0.336
2001 Etnyre J, Ghrist R. An index for closed orbits in Beltrami fields Physica D: Nonlinear Phenomena. 159: 180-189. DOI: 10.1016/S0167-2789(01)00343-8  0.335
2000 Etnyre J, Ghrist R. Contact topology and hydrodynamics III: knotted orbits Transactions of the American Mathematical Society. 352: 5781-5794. DOI: 10.1090/S0002-9947-00-02651-9  0.315
2000 Etnyre J, Ghrist R. Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture Nonlinearity. 13: 441-458. DOI: 10.1088/0951-7715/13/2/306  0.34
1999 Etnyre J, Ghrist R. Gradient flows within plane fields Commentarii Mathematici Helvetici. 74: 507-529. DOI: 10.1007/S000140050102  0.316
1998 Ghrist R, Young T. From Morse-Smale to all knots and links Nonlinearity. 11: 1111-1125. DOI: 10.1088/0951-7715/11/4/021  0.312
1995 Ghrist R. Flows on ³ supporting all links as orbits Electronic Research Announcements of the American Mathematical Society. 1: 91-97. DOI: 10.1090/S1079-6762-95-02006-3  0.305
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