| Year |
Citation |
Score |
| 2020 |
Duignan N, Moeckel R, Montgomery R, Yu G. Chazy-Type Asymptotics and Hyperbolic Scattering for the $n$-Body Problem Archive For Rational Mechanics and Analysis. 238: 255-297. DOI: 10.1007/S00205-020-01542-2 |
0.371 |
|
| 2019 |
Cheng J, Marugame T, Matveev VS, Montgomery R. Chains in CR geometry as geodesics of a Kropina metric Advances in Mathematics. 350: 973-999. DOI: 10.1016/J.Aim.2019.05.004 |
0.313 |
|
| 2019 |
Montgomery R. Oscillating about coplanarity in the 4 body problem Inventiones Mathematicae. 218: 113-144. DOI: 10.1007/S00222-019-00879-0 |
0.411 |
|
| 2018 |
Moeckel RB, Montgomery R, Morgado HS. Free time minimizers for the three-body problem Celestial Mechanics and Dynamical Astronomy. 130: 28. DOI: 10.1007/S10569-018-9823-Y |
0.383 |
|
| 2017 |
Montgomery R. The hyperbolic plane, three-body problems, and Mnëv’s universality theorem Regular & Chaotic Dynamics. 22: 688-699. DOI: 10.1134/S1560354717060077 |
0.382 |
|
| 2017 |
Féjoz J, Knauf A, Montgomery R. Lagrangian relations and linear point billiards Nonlinearity. 30: 1326-1355. DOI: 10.1088/1361-6544/Aa5B26 |
0.371 |
|
| 2016 |
Jackman C, Montgomery R. No hyperbolic pants for the 4-body problem with strong potential Pacific Journal of Mathematics. 280: 401-410. DOI: 10.2140/Pjm.2016.280.401 |
0.333 |
|
| 2016 |
Dullin HR, Montgomery R. Syzygies in the two center problem Nonlinearity. 29: 1212-1237. DOI: 10.1088/0951-7715/29/4/1212 |
0.351 |
|
| 2015 |
Montgomery R. The Three-Body Problem and the Shape Sphere American Mathematical Monthly. 122: 299-321. DOI: 10.4169/Amer.Math.Monthly.122.04.299 |
0.422 |
|
| 2015 |
Moeckel R, Montgomery R. Realizing all reduced syzygy sequences in the planar three-body problem Nonlinearity. 28: 1919-1935. DOI: 10.1088/0951-7715/28/6/1919 |
0.398 |
|
| 2015 |
Le Donne E, Montgomery R, Ottazzi A, Pansu P, Vittone D. Sard property for the endpoint map on some Carnot groups Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. DOI: 10.1016/J.Anihpc.2015.07.004 |
0.327 |
|
| 2014 |
Montgomery R. Who's afraid of the Hill boundary? Symmetry, Integrability and Geometry: Methods and Applications (Sigma). 10. DOI: 10.3842/Sigma.2014.101 |
0.303 |
|
| 2013 |
Moeckel R, Montgomery R. Symmetric regularization, reduction and blow-up of the planar three-body problem Pacific Journal of Mathematics. 262: 129-189. DOI: 10.2140/Pjm.2013.262.129 |
0.411 |
|
| 2013 |
Montgomery R. MICZ-Kepler: Dynamics on the cone over SO(n) Regular & Chaotic Dynamics. 18: 600-607. DOI: 10.1134/S1560354713060038 |
0.317 |
|
| 2012 |
Castro AL, Montgomery R. Spatial curve singularities and the monster/semple tower Israel Journal of Mathematics. 192: 381-427. DOI: 10.1007/S11856-012-0031-2 |
0.58 |
|
| 2012 |
Moeckel R, Montgomery R, Venturelli A. From Brake to Syzygy Archive For Rational Mechanics and Analysis. 204: 1009-1060. DOI: 10.1007/S00205-012-0502-Y |
0.333 |
|
| 2008 |
Castro AL, Montgomery R. The chains of left-invariant Cauchy-Riemann structures on SU(2) Pacific Journal of Mathematics. 238: 41-71. DOI: 10.2140/Pjm.2008.238.41 |
0.551 |
|
| 2008 |
Montgomery R, Swaminathan V, Zhitomirskii M. Resolving singularities with Cartan’s prolongation Journal of Fixed Point Theory and Applications. 3: 353-378. DOI: 10.1007/S11784-008-0080-7 |
0.545 |
|
| 2007 |
Montgomery R. The zero angular momentum, three-body problem: All but one solution has syzygies Ergodic Theory and Dynamical Systems. 27: 1933-1946. DOI: 10.1017/S0143385707000338 |
0.365 |
|
| 2005 |
Fujiwara T, Montgomery R. Convexity of the figure eight solution to the three-body problem Pacific Journal of Mathematics. 219: 271-283. DOI: 10.2140/Pjm.2005.219.271 |
0.372 |
|
| 2005 |
Montgomery R. Fitting hyperbolic pants to a three-body problem Ergodic Theory and Dynamical Systems. 25: 921-947. DOI: 10.1017/S0143385704000653 |
0.325 |
|
| 2002 |
Montgomery R. Infinitely Many Syzygies Archive For Rational Mechanics and Analysis. 164: 311-340. DOI: 10.1007/S00205-002-0211-Z |
0.399 |
|
| 2001 |
Montgomery R, Zhitomirskii M. Geometric approach to Goursat flags Annales De L Institut Henri Poincare-Analyse Non Lineaire. 18: 459-493. DOI: 10.1016/S0294-1449(01)00076-2 |
0.391 |
|
| 2000 |
Chenciner A, Montgomery R. A remarkable periodic solution of the three-body problem in the case of equal masses Annals of Mathematics. 152: 881-901. DOI: 10.2307/2661357 |
0.368 |
|
| 1998 |
Montgomery R. The N-body problem, the braid group, and action-minimizing periodic solutions Nonlinearity. 11: 363-376. DOI: 10.1088/0951-7715/11/2/011 |
0.408 |
|
| 1996 |
Montgomery R. The geometric phase of the three-body problem Nonlinearity. 9: 1341-1360. DOI: 10.1088/0951-7715/9/5/014 |
0.391 |
|
| 1995 |
Montgomery R. A survey of singular curves in sub-Riemannian geometry Journal of Dynamical and Control Systems. 1: 49-90. DOI: 10.1007/Bf02254656 |
0.323 |
|
| 1994 |
Montgomery R. Singular extremals on Lie groups Mathematics of Control, Signals, and Systems. 7: 217-234. DOI: 10.1007/Bf01212270 |
0.391 |
|
| 1993 |
Montgomery R. Abnormal optimal controls and open problems in nonholonomic steering Ifac Symposia Series. 121-126. DOI: 10.1016/S1474-6670(17)52268-5 |
0.366 |
|
| 1992 |
Sastry SS, Montgomery R. The Structure of Optimal Controls for a Steering Problem Ifac Proceedings Volumes. 25: 135-140. DOI: 10.1016/S1474-6670(17)52270-3 |
0.308 |
|
| 1991 |
Montgomery R. How much does the rigid body rotate? A Berry’s phase from the 18th century American Journal of Physics. 59: 394-398. DOI: 10.1119/1.16514 |
0.323 |
|
| 1990 |
Montgomery R. Isoholonomic problems and some applications Communications in Mathematical Physics. 128: 565-592. DOI: 10.1007/Bf02096874 |
0.36 |
|
| 1987 |
Montgomery R. Correction to the low-energy scattering of monopoles Physics Letters A. 125: 159-161. DOI: 10.1016/0375-9601(87)90087-9 |
0.302 |
|
| 1984 |
Montgomery R. Canonical formulations of a classical particle in a Yang-Mills field and Wong's equations Letters in Mathematical Physics. 8: 59-67. DOI: 10.1007/Bf00420042 |
0.316 |
|
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