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## Roberts, Gareth E.

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 Author ID: roberts.gareth-e Published as: Roberts, G.; Roberts, G. E.; Roberts, Gareth; Roberts, Gareth E.
 Documents Indexed: 33 Publications since 1987, including 3 Books
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#### Co-Authors

 10 single-authored 4 Cors, Josep Maria 2 Corbera, Montserrat 1 Bakker, Lennard F. 1 Hall, Glen Richard 1 Hampton, Marshall 1 Horgan-Kobelski, Jeremy 1 Kulevich, Julianne L. 1 Menezes, Brian 1 Ouyang, Tiancheng 1 Santoprete, Manuele 1 Simmons, Skyler C. 1 Smith, Christopher J. 1 Yan, Duokui
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#### Serials

 2 Nonlinearity 2 Physica D 2 Celestial Mechanics and Dynamical Astronomy 2 Qualitative Theory of Dynamical Systems 2 SIAM Journal on Applied Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science
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#### Fields

 17 Mechanics of particles and systems (70-XX) 8 Dynamical systems and ergodic theory (37-XX) 2 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 289 times in 225 Documents Cited by Year
A continuum of relative equilibria in the five-body problem. Zbl 0955.70009
Roberts, Gareth E.
1999
Linear stability of the elliptic Lagrangian triangle solutions in the three-body problem. Zbl 1181.70015
Roberts, Gareth E.
2002
Four-body co-circular central configurations. Zbl 1235.70033
Cors, Josep M.; Roberts, Gareth E.
2012
Hairs for the complex exponential family. Zbl 1192.37061
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
1999
Relative equilibria in the four-vortex problem with two pairs of equal vorticities. Zbl 1302.76042
Hampton, Marshall; Roberts, Gareth E.; Santoprete, Manuele
2014
Linear stability analysis of the figure-eight orbit in the three-body problem. Zbl 1128.70006
Roberts, Gareth E.
2007
Stability of relative equilibria in the planar $$n$$-vortex problem. Zbl 1282.70022
Roberts, Gareth E.
2013
Linear stability in the $$1+N$$-gon relative equilibrium. Zbl 1022.70007
Roberts, Gareth E.
2000
Newton’s versus Halley’s method: a dynamical systems approach. Zbl 1129.37332
Roberts, Gareth E.; Horgan-Kobelski, Jeremy
2004
Logistic regression analysis of sample survey data. Zbl 0625.62007
Roberts, G.; Rao, J. N. K.; Kumar, S.
1987
Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem. Zbl 1223.70029
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.
2010
Dynamical convergence of polynomials to the exponential. Zbl 0976.37022
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
2000
Some counterexamples to a generalized Saari’s conjecture. Zbl 1075.70012
Roberts, Gareth E.
2006
A four-body convex central configuration with perpendicular diagonals is necessarily a kite. Zbl 1402.70012
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
2018
Uniqueness results for co-circular central configurations for power-law potentials. Zbl 1349.70021
Cors, Josep M.; Hall, Glen R.; Roberts, Gareth E.
2014
Drift by coupling to an anti-integrable limit. Zbl 1075.37522
Easton, R. W.; Meiss, J. D.; Roberts, G.
2001
Spectral instability of relative equilibria in the planar $$n$$-body problem. Zbl 0953.70010
Roberts, Gareth E.
1999
An adaptive approach to Langevin MCMC. Zbl 1252.62099
Marshall, Tristan; Roberts, Gareth
2012
Morse theory and relative equilibria in the planar $$n$$-vortex problem. Zbl 1390.35351
Roberts, Gareth E.
2018
Classifying four-body convex central configurations. Zbl 1451.70022
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
2019
Finiteness in the planar restricted four-body problem. Zbl 1195.70021
Kulevich, Julianne L.; Roberts, Gareth E.; Smith, Christopher J.
2010
Saari’s conjecture for the restricted three-body problem. Zbl 1117.70012
Roberts, G. E.; Melanson, L.
2007
Scalable importance tempering and Bayesian variable selection. Zbl 1420.62059
Zanella, Giacomo; Roberts, Gareth
2019
Existence and stability of four-vortex collinear relative equilibria with three equal vorticities. Zbl 1391.70031
Menezes, Brian; Roberts, Gareth E.
2018
Robert Recorde. The life and times of a Tudor mathematician. Paperback reprint of the 2012 original. Zbl 1309.01006
Roberts, Gareth (ed.); Smith, Fenny (ed.)
2013
The structure of $$\mathcal F$$-tensorial cochains of differential operators. Zbl 0960.16006
Bloore, F. J.; Roberts, G.
1999
Classifying four-body convex central configurations. Zbl 1451.70022
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
2019
Scalable importance tempering and Bayesian variable selection. Zbl 1420.62059
Zanella, Giacomo; Roberts, Gareth
2019
A four-body convex central configuration with perpendicular diagonals is necessarily a kite. Zbl 1402.70012
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
2018
Morse theory and relative equilibria in the planar $$n$$-vortex problem. Zbl 1390.35351
Roberts, Gareth E.
2018
Existence and stability of four-vortex collinear relative equilibria with three equal vorticities. Zbl 1391.70031
Menezes, Brian; Roberts, Gareth E.
2018
Relative equilibria in the four-vortex problem with two pairs of equal vorticities. Zbl 1302.76042
Hampton, Marshall; Roberts, Gareth E.; Santoprete, Manuele
2014
Uniqueness results for co-circular central configurations for power-law potentials. Zbl 1349.70021
Cors, Josep M.; Hall, Glen R.; Roberts, Gareth E.
2014
Stability of relative equilibria in the planar $$n$$-vortex problem. Zbl 1282.70022
Roberts, Gareth E.
2013
Robert Recorde. The life and times of a Tudor mathematician. Paperback reprint of the 2012 original. Zbl 1309.01006
Roberts, Gareth (ed.); Smith, Fenny (ed.)
2013
Four-body co-circular central configurations. Zbl 1235.70033
Cors, Josep M.; Roberts, Gareth E.
2012
An adaptive approach to Langevin MCMC. Zbl 1252.62099
Marshall, Tristan; Roberts, Gareth
2012
Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem. Zbl 1223.70029
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.
2010
Finiteness in the planar restricted four-body problem. Zbl 1195.70021
Kulevich, Julianne L.; Roberts, Gareth E.; Smith, Christopher J.
2010
Linear stability analysis of the figure-eight orbit in the three-body problem. Zbl 1128.70006
Roberts, Gareth E.
2007
Saari’s conjecture for the restricted three-body problem. Zbl 1117.70012
Roberts, G. E.; Melanson, L.
2007
Some counterexamples to a generalized Saari’s conjecture. Zbl 1075.70012
Roberts, Gareth E.
2006
Newton’s versus Halley’s method: a dynamical systems approach. Zbl 1129.37332
Roberts, Gareth E.; Horgan-Kobelski, Jeremy
2004
Linear stability of the elliptic Lagrangian triangle solutions in the three-body problem. Zbl 1181.70015
Roberts, Gareth E.
2002
Drift by coupling to an anti-integrable limit. Zbl 1075.37522
Easton, R. W.; Meiss, J. D.; Roberts, G.
2001
Linear stability in the $$1+N$$-gon relative equilibrium. Zbl 1022.70007
Roberts, Gareth E.
2000
Dynamical convergence of polynomials to the exponential. Zbl 0976.37022
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
2000
A continuum of relative equilibria in the five-body problem. Zbl 0955.70009
Roberts, Gareth E.
1999
Hairs for the complex exponential family. Zbl 1192.37061
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
1999
Spectral instability of relative equilibria in the planar $$n$$-body problem. Zbl 0953.70010
Roberts, Gareth E.
1999
The structure of $$\mathcal F$$-tensorial cochains of differential operators. Zbl 0960.16006
Bloore, F. J.; Roberts, G.
1999
Logistic regression analysis of sample survey data. Zbl 0625.62007
Roberts, G.; Rao, J. N. K.; Kumar, S.
1987
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#### Cited by 260 Authors

 11 Llibre, Jaume 11 Roberts, Gareth E. 11 Yan, Duokui 10 Mello, Luis Fernando O. 10 Ouyang, Tiancheng 9 Hu, Xijun 9 Santoprete, Manuele 8 Hampton, Marshall 7 Cors, Josep Maria 7 Xie, Zhifu 6 Corbera, Montserrat 6 Fernandes, Antonio Carlos 6 Gutiérrez, José Manuel 6 Pérez-Chavela, Ernesto 6 Rempe-Gillen, Lasse 5 Magreñán, Ángel Alberto 5 Ou, Yuwei 5 Simmons, Skyler C. 5 Stoica, Cristina 5 Zhang, Shiqing 4 Bakker, Lennard F. 4 Benini, Anna Miriam 4 Devaney, Robert L. 4 García-Azpeitia, Carlos 4 Jarque, Xavier 4 Long, Yiming 4 Schleicher, Dierk 4 Sun, Shanzhong 4 Tibboel, Pieter 4 Zhou, Qinglong 3 Amat, Sergio P. 3 Bartsch, Thomas J. 3 Busquier, Sonia 3 Gebhard, Björn 3 Martínez, Regina 3 Moeckel, Richard 3 O’Neil, Kevin Anthony 3 Plaza, Sergio 3 Vidal, Claudio 3 Zhu, Shuqiang 2 Albouy, Alain 2 Alvarez-Ramírez, Martha 2 Barański, Krzysztof 2 Belikov, A. V. 2 Bilder, Christopher R. 2 Deng, Chunhua 2 Deng, Yiyang 2 Diacu, Florin Nicolae 2 Förster, Markus 2 Fu, JianXun 2 Furno, Joanna 2 García-Olivo, Martín 2 Garijo, Antonio 2 Hubbard, John Hamal 2 Ize, Jorge 2 Jackman, Connor 2 Jensen, Anders Nedergaard 2 Koss, Lorelei 2 Lawson, Jeffrey K. 2 Li, Bingyu 2 Loughin, Thomas M. 2 Meléndez, Josué 2 Moreno Rocha, Mónica 2 Offin, Daniel C. 2 Pina, E. 2 Portaluri, Alessandro 2 Rao, Jonnagadda Nalini Kanth 2 Robutel, Philippe 2 Samà, Anna 2 Simó, Carles 2 Skinner, Chris J. 2 Tamayo, Claudia 2 Tsai, Ya-Lun 2 Valls Anglés, Cláudia 2 Varona Malumbres, Juan Luis 2 Wang, Penghui 1 Alfaro, Felipe 1 Alhabib, Nada 1 Allassonnière, Stéphanie 1 Ammar, M. K. 1 Andridge, Rebecca R. 1 Argyros, Ioannis Konstantinos 1 Barry, Anna M. 1 Barutello, Vivina L. 1 Basak, Gopal Krishna 1 Begg, Melissa Dowd 1 Bellhouse, David R. 1 Berenguel, Rubén 1 Bermúdez, Concepción 1 Biswas, Arunangshu 1 Bloore, F. J. 1 Boatto, Stefanella 1 Bodelón, Clara 1 Boyd, Suzanne Hruska 1 Buono, Pietro-Luciano 1 Calleja, Renato C. 1 Castilla, Elena 1 Celli, Martin 1 Chang, Xiaojun 1 Chen, Hong ...and 160 more Authors
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#### Cited in 87 Serials

 24 Celestial Mechanics and Dynamical Astronomy 13 Journal of Differential Equations 9 Journal of Mathematical Analysis and Applications 9 Qualitative Theory of Dynamical Systems 8 Journal of Dynamics and Differential Equations 7 Archive for Rational Mechanics and Analysis 7 Physica D 6 Journal of Geometry and Physics 6 Discrete and Continuous Dynamical Systems 5 Journal of Mathematical Physics 5 Nonlinearity 5 Ergodic Theory and Dynamical Systems 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Journal of Nonlinear Science 5 Regular and Chaotic Dynamics 4 Applied Mathematics and Computation 4 Transactions of the American Mathematical Society 4 Journal of Difference Equations and Applications 3 Communications in Mathematical Physics 3 Journal of Computational and Applied Mathematics 3 Proceedings of the American Mathematical Society 3 Conformal Geometry and Dynamics 3 SIAM Journal on Applied Dynamical Systems 2 The Canadian Journal of Statistics 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Journal of Statistical Planning and Inference 2 Chinese Annals of Mathematics. Series B 2 International Journal of Computer Mathematics 2 SIAM Journal on Mathematical Analysis 2 Computational Statistics and Data Analysis 2 Differential Equations 2 Journal of Geometric Mechanics 1 Acta Mechanica 1 Archive for History of Exact Sciences 1 Astrophysics and Space Science 1 Earth, Moon, and Planets 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Anais da Academia Brasileira de Ciências 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Topology and its Applications 1 Acta Applicandae Mathematicae 1 Statistical Science 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Economics Letters 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 Communications in Statistics. Theory and Methods 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Complexity 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Differential Equations and Dynamical Systems 1 Australian & New Zealand Journal of Statistics 1 Chaos 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Statistical Methods and Applications 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 AStA. Advances in Statistical Analysis 1 Electronic Journal of Statistics 1 The Annals of Applied Statistics 1 Science China. Mathematics 1 Statistics and Computing 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Mathematics 1 Journal of Fractal Geometry 1 International Journal of Applied and Computational Mathematics 1 Applied Mathematics and Nonlinear Sciences
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#### Cited in 32 Fields

 134 Mechanics of particles and systems (70-XX) 99 Dynamical systems and ergodic theory (37-XX) 28 Functions of a complex variable (30-XX) 21 Numerical analysis (65-XX) 19 Fluid mechanics (76-XX) 17 Ordinary differential equations (34-XX) 17 Statistics (62-XX) 8 Differential geometry (53-XX) 7 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of deformable solids (74-XX) 4 Commutative algebra (13-XX) 4 Systems theory; control (93-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)