Geometry of diffeomorphism groups, complete integrability and geometric statistics B Khesin, J Lenells, G Misiołek, SC Preston Geometric and Functional Analysis 23 (1), 334-366, 2012 | 88 | 2012 |
Fredholm properties of Riemannian exponential maps on diffeomorphism groups G Misiołek, SC Preston Inventiones mathematicae 179, 191-227, 2010 | 65 | 2010 |
Singularities of the exponential map on the volume-preserving diffeomorphism group DG Ebin, G Misio? ek, SC Preston Geometric and Functional Analysis 16 (4), 850-868, 2006 | 54 | 2006 |
Geometric investigations of a vorticity model equation M Bauer, B Kolev, SC Preston Journal of Differential Equations 260 (1), 478-516, 2016 | 34 | 2016 |
The motion of whips and chains SC Preston Journal of Differential Equations 251 (3), 504-550, 2011 | 33 | 2011 |
Curvatures of Sobolev metrics on diffeomorphism groups B Khesin, J Lenells, G Misiolek, SC Preston arXiv preprint arXiv:1109.1816, 2011 | 32 | 2011 |
On the volumorphism group, the first conjugate point is always the hardest SC Preston Communications in mathematical physics 267, 493-513, 2006 | 32 | 2006 |
For ideal fluids, Eulerian and Lagrangian instabilities are equivalent SC Preston Geometric and Functional Analysis 14 (5), 1044-1062, 2004 | 32 | 2004 |
Vanishing distance phenomena and the geometric approach to SQG M Bauer, P Harms, SC Preston Archive for Rational Mechanics and Analysis 235 (3), 1445-1466, 2020 | 28 | 2020 |
Shape analysis of surfaces using general elastic metrics Z Su, M Bauer, SC Preston, H Laga, E Klassen Journal of Mathematical Imaging and Vision 62, 1087-1106, 2020 | 26 | 2020 |
The geometry of whips SC Preston Annals of Global Analysis and Geometry 41 (3), 281-305, 2012 | 25 | 2012 |
Fisher-Rao geometry of Dirichlet distributions A Le Brigant, SC Preston, S Puechmorel Differential Geometry and its Applications 74, 101702, 2021 | 20 | 2021 |
Riemannian geometry of the contactomorphism group DG Ebin, SC Preston Arnold Mathematical Journal 1 (1), 5-36, 2015 | 19 | 2015 |
Nonpositive curvature on the area-preserving diffeomorphism group SC Preston Journal of Geometry and Physics 53 (2), 226-248, 2005 | 18 | 2005 |
Eulerian and Lagrangian stability of fluid motions SC Preston State University of New York at Stony Brook, 2002 | 14 | 2002 |
Euler–Arnold equations and Teichmüller theory SC Preston, P Washabaugh Differential Geometry and its Applications 59, 1-11, 2018 | 13* | 2018 |
Quotient elastic metrics on the manifold of arc-length parameterized plane loops AB Tumpach, SC Preston arXiv preprint arXiv:1601.06139, 2016 | 13 | 2016 |
The WKB method for conjugate points in the volumorphism group SC Preston Indiana University Mathematics Journal 57 (7), 3303-3328, 2007 | 13 | 2007 |
An H1 Model for Inextensible Strings SC Preston, R Saxton Discrete and Continuous Dynamical Systems - Series A 33 (5), 2065-2083, 2012 | 8 | 2012 |
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary J Benn, G Misiołek, SC Preston Archive for Rational Mechanics and Analysis 229, 1015-1035, 2018 | 6 | 2018 |