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Vickers, J. A. G.

Co-Author Distance
Author ID: vickers.j-a-g Recent zbMATH articles by "Vickers, J. A. G."
Published as: Vickers, J. A. G.
Documents Indexed: 38 Publications since 1983
1 Contribution as Editor
Co-Authors: 7 Co-Authors with 22 Joint Publications
70 Co-Co-Authors
all top 5

Co-Authors

7 single-authored
11 Dodson, Michael Maurice
9 Rynne, Bryan P.
6 d’Inverno, Ray A.
3 Machado Ramos, M. Piedade
3 Wilson, Joshua P.
2 Clarke, C. J. S.
2 Collins, J. M.
2 Ludvigsen, Malcolm
1 Edgar, S. Brian
1 Ellis, George Francis Rayner
1 Grant, James D. E.
1 Hormann, Gunther
1 Pöschel, Jürgen
1 Sanchez, Y. Sanchez
1 Spreitzer, Christian
1 Swift, S. Timothy
all top 5

Serials

18 Classical and Quantum Gravity
3 Journal of Physics A: Mathematical and General
2 General Relativity and Gravitation
2 Journal of Number Theory
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Journal of Geometry and Physics
1 Acta Arithmetica
1 Journal of the London Mathematical Society. Second Series
1 The Journal of Symbolic Logic
1 Mathematika
1 Rendiconti del Seminario Matematico
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Archive for Mathematical Logic
1 London Mathematical Society Lecture Note Series
all top 5

Fields

23 Relativity and gravitational theory (83-XX)
16 Differential geometry (53-XX)
9 Number theory (11-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Functional analysis (46-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mechanics of particles and systems (70-XX)
2 Mathematical logic and foundations (03-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Ordinary differential equations (34-XX)
1 Geometry (51-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

36 Publications have been cited 140 times in 103 Documents Cited by ▼ Year ▼
Diophantine approximation and a lower bound for Hausdorff dimension. Zbl 0688.10049
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
27
1990
Generalized functions and distributional curvature of cosmic strings. Zbl 0859.53074
Clarke, C. J. S.; Vickers, J. A.; Wilson, J. P.
24
1996
Metric diophantine approximation and Hausdorff dimension on manifolds. Zbl 0677.10040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
15
1989
Generalized hyperbolicity in conical spacetimes. Zbl 0957.83042
Vickers, J. A.; Wilson, J. P.
14
2000
Generalized cosmic strings. Zbl 0609.53051
Vickers, J. A. G.
13
1987
Khintchine-type theorems on manifolds. Zbl 0736.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
13
1991
A spacetime calculus based on a single null direction. Zbl 0860.53058
Machado Ramos, M. P.; Vickers, J. A. G.
10
1996
The Karlhede classification of type D vacuum spacetimes. Zbl 0705.53036
Collins, J. M.; d’Inverno, R. A.; Vickers, J. A.
10
1990
Quasi-regular singularities and cosmic strings. Zbl 0707.53047
Vickers, J. A. G.
9
1990
Invariance of the distributional curvature of the cone under smooth diffeomorphisms. Zbl 0933.83033
Vickers, J. A.; Wilson, J. P.
9
1999
On elementary embeddings from an inner model to the universe. Zbl 1025.03049
Vickers, J.; Welch, P. D.
8
2001
Momentum, angular momentum and their quasi-local null surface extensions. Zbl 0519.70022
Ludvigsen, M.; Vickers, J. A. G.
8
1983
\(2+2\) decomposition of Ashtekar variables. Zbl 0823.53062
D’Inverno, R. A.; Vickers, J. A.
7
1995
Integration using invariant operators: conformally flat radiation metrics. Zbl 0934.83037
Edgar, S. B.; Vickers, J. A.
7
1999
Distributional geometry in general relativity. Zbl 1242.53098
Vickers, J. A.
7
2012
Block diagonalization of four-dimensional metrics. Zbl 1181.83175
Grant, J. D. E.; Vickers, J. A.
7
2009
Dirichlet’s theorem and diophantine approximation on manifolds. Zbl 0716.11029
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
6
1990
Invariant differential operators and the Karlhede classification of type \(N\) vacuum solutions. Zbl 0856.53064
Machado Ramos, M. P.; Vickers, J. A. G.
6
1996
An inequality relating mass and electric charge in general relativity. Zbl 0519.70023
Ludvigsen, M.; Vickers, J. A. G.
6
1983
Hamiltonian analysis of the double null \(2+2\) decomposition of general relativity expressed in terms of self-dual bivectors. Zbl 1096.83008
d’Inverno, R. A.; Lambert, P.; Vickers, J. A.
5
2006
The Hausdorff dimension of small divisors for lower-dimensional KAM-tori. Zbl 0778.11042
Dodson, M. M.; Pöschel, J.; Rynne, B. P.; Vickers, J. A. G.
5
1992
Exceptional sets in Kolmogorov-Arnol’d-Moser theory. Zbl 0605.34041
Dodson, M. M.; Vickers, J. A. G.
5
1986
Simultaneous diophantine approximation and asymptotic formulae on manifolds. Zbl 0858.11041
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
4
1996
Hamiltonian analysis of the double null \(2+2\) decomposition of Ashtekar variables. Zbl 1096.83007
d’Inverno, R. A.; Lambert, P.; Vickers, J. A.
4
2006
Upper bounds for the Karlhede classification of type D vacuum spacetimes. Zbl 0733.53045
Collins, J. M.; d’Inverno, R. A.; Vickers, J. A.
4
1991
Quantised vortices and mutual friction in relativistic superfluids. Zbl 1354.83020
Andersson, N.; Wells, S.; Vickers, J. A.
4
2016
Green operators in low regularity spacetimes and quantum field theory. Zbl 1479.83265
Hörmann, G.; Sanchez, Y. Sanchez; Spreitzer, C.; Vickers, J. A.
4
2020
Everywhere invariant spaces of metrics and isometries. Zbl 0601.58011
Swift, S. T.; d’Inverno, R. A.; Vickers, J. A. G.
3
1986
Unstable singularities in general relativity. Zbl 0576.53044
Vickers, J. A. G.
3
1985
The large-scale bending of cosmic strings. Zbl 0707.53056
Clarke, C. J. S.; Ellis, G. F. R.; Vickers, J. A.
2
1990
A spacetime calculus invariant under null rotations. Zbl 0831.53067
Machado Ramos, M. P.; Vickers, J. A. G.
2
1995
Number theory and dynamical systems. Zbl 0678.00019
2
1989
Double null Hamiltonian dynamics and the gravitational degrees of freedom. Zbl 1230.83088
Vickers, J. A.
2
2011
On successors of Jónsson cardinals. Zbl 0961.03046
Vickers, J.; Welch, P. D.
2
2000
Averaging in multifrequency systems. Zbl 0663.70032
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
2
1989
The Hausdorff dimension of exceptional sets associated with normal forms. Zbl 0831.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
1
1994
Green operators in low regularity spacetimes and quantum field theory. Zbl 1479.83265
Hörmann, G.; Sanchez, Y. Sanchez; Spreitzer, C.; Vickers, J. A.
4
2020
Quantised vortices and mutual friction in relativistic superfluids. Zbl 1354.83020
Andersson, N.; Wells, S.; Vickers, J. A.
4
2016
Distributional geometry in general relativity. Zbl 1242.53098
Vickers, J. A.
7
2012
Double null Hamiltonian dynamics and the gravitational degrees of freedom. Zbl 1230.83088
Vickers, J. A.
2
2011
Block diagonalization of four-dimensional metrics. Zbl 1181.83175
Grant, J. D. E.; Vickers, J. A.
7
2009
Hamiltonian analysis of the double null \(2+2\) decomposition of general relativity expressed in terms of self-dual bivectors. Zbl 1096.83008
d’Inverno, R. A.; Lambert, P.; Vickers, J. A.
5
2006
Hamiltonian analysis of the double null \(2+2\) decomposition of Ashtekar variables. Zbl 1096.83007
d’Inverno, R. A.; Lambert, P.; Vickers, J. A.
4
2006
On elementary embeddings from an inner model to the universe. Zbl 1025.03049
Vickers, J.; Welch, P. D.
8
2001
Generalized hyperbolicity in conical spacetimes. Zbl 0957.83042
Vickers, J. A.; Wilson, J. P.
14
2000
On successors of Jónsson cardinals. Zbl 0961.03046
Vickers, J.; Welch, P. D.
2
2000
Invariance of the distributional curvature of the cone under smooth diffeomorphisms. Zbl 0933.83033
Vickers, J. A.; Wilson, J. P.
9
1999
Integration using invariant operators: conformally flat radiation metrics. Zbl 0934.83037
Edgar, S. B.; Vickers, J. A.
7
1999
Generalized functions and distributional curvature of cosmic strings. Zbl 0859.53074
Clarke, C. J. S.; Vickers, J. A.; Wilson, J. P.
24
1996
A spacetime calculus based on a single null direction. Zbl 0860.53058
Machado Ramos, M. P.; Vickers, J. A. G.
10
1996
Invariant differential operators and the Karlhede classification of type \(N\) vacuum solutions. Zbl 0856.53064
Machado Ramos, M. P.; Vickers, J. A. G.
6
1996
Simultaneous diophantine approximation and asymptotic formulae on manifolds. Zbl 0858.11041
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
4
1996
\(2+2\) decomposition of Ashtekar variables. Zbl 0823.53062
D’Inverno, R. A.; Vickers, J. A.
7
1995
A spacetime calculus invariant under null rotations. Zbl 0831.53067
Machado Ramos, M. P.; Vickers, J. A. G.
2
1995
The Hausdorff dimension of exceptional sets associated with normal forms. Zbl 0831.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
1
1994
The Hausdorff dimension of small divisors for lower-dimensional KAM-tori. Zbl 0778.11042
Dodson, M. M.; Pöschel, J.; Rynne, B. P.; Vickers, J. A. G.
5
1992
Khintchine-type theorems on manifolds. Zbl 0736.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
13
1991
Upper bounds for the Karlhede classification of type D vacuum spacetimes. Zbl 0733.53045
Collins, J. M.; d’Inverno, R. A.; Vickers, J. A.
4
1991
Diophantine approximation and a lower bound for Hausdorff dimension. Zbl 0688.10049
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
27
1990
The Karlhede classification of type D vacuum spacetimes. Zbl 0705.53036
Collins, J. M.; d’Inverno, R. A.; Vickers, J. A.
10
1990
Quasi-regular singularities and cosmic strings. Zbl 0707.53047
Vickers, J. A. G.
9
1990
Dirichlet’s theorem and diophantine approximation on manifolds. Zbl 0716.11029
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
6
1990
The large-scale bending of cosmic strings. Zbl 0707.53056
Clarke, C. J. S.; Ellis, G. F. R.; Vickers, J. A.
2
1990
Metric diophantine approximation and Hausdorff dimension on manifolds. Zbl 0677.10040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
15
1989
Number theory and dynamical systems. Zbl 0678.00019
2
1989
Averaging in multifrequency systems. Zbl 0663.70032
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
2
1989
Generalized cosmic strings. Zbl 0609.53051
Vickers, J. A. G.
13
1987
Exceptional sets in Kolmogorov-Arnol’d-Moser theory. Zbl 0605.34041
Dodson, M. M.; Vickers, J. A. G.
5
1986
Everywhere invariant spaces of metrics and isometries. Zbl 0601.58011
Swift, S. T.; d’Inverno, R. A.; Vickers, J. A. G.
3
1986
Unstable singularities in general relativity. Zbl 0576.53044
Vickers, J. A. G.
3
1985
Momentum, angular momentum and their quasi-local null surface extensions. Zbl 0519.70022
Ludvigsen, M.; Vickers, J. A. G.
8
1983
An inequality relating mass and electric charge in general relativity. Zbl 0519.70023
Ludvigsen, M.; Vickers, J. A. G.
6
1983
all cited Publications top 5 cited Publications
all top 5

Cited by 117 Authors

6 Edgar, S. Brian
6 Hussain, Mumtaz
6 Wang, Baowei
5 Dodson, Michael Maurice
5 Heller, Michał Kazimierz
5 Rynne, Bryan P.
4 Kristensen, Simon
3 Levesley, Jason
3 Machado Ramos, M. Piedade
3 Sasin, Wiesław
3 Sevryuk, Mikhail Borisovich
3 Shah, Nimish A.
3 Wu, Jun
2 Beresnevich, Victor V.
2 Coley, Alan Albert
2 Datta, Shreyasi
2 Dickinson, Detta
2 Dickinson, H.
2 d’Inverno, Ray A.
2 Huang, Jingjing
2 Kleinbock, Dmitry Ya.
2 Ludwig, Garry
2 MacCallum, Malcolm A. H.
2 McNutt, David Duncan
2 Sämann, Clemens
2 Simmons, David
2 Swift, S. Timothy
2 Szabados, László B.
2 Vickers, J. A. G.
2 Weiss, Barak
2 Yau, Shing-Tung
1 Adiceam, Faustin
1 Alaee, Aghil
1 Allen, Demi
1 Badziahin, Dzmitry A.
1 Bakhtawar, Ayreena
1 Barral, Julien
1 Beig, Robert
1 Braun, Mathias
1 Broer, Henk W.
1 Budarina, Natalia Viktorovna
1 Bugeaud, Yann
1 Cavalletti, Fabio
1 Charmousis, Christos
1 Chruściel, Piotr Tadeusz
1 Coons, Michael
1 De Courcy-Ireland, Matthew
1 de M. Carvalho, Alexandre M.
1 Druţu, Cornelia
1 Dumas, H. Scott
1 Durand, Arnaud
1 Everitt, Brent
1 Geroch, Robert
1 Ghosh, Anish
1 Golse, François
1 Gruszczak, Jacek
1 Harrap, Stephen B.
1 Haynes, Alan K.
1 Hayward, Gordon
1 Hill, Richard Michael
1 Hoo, Jun
1 Israel, Werner
1 Kadyrov, Shirali
1 Kelly, Michael
1 Khuri, Marcus A.
1 Kim, Taehyeong
1 Kim, Wooyeon
1 Kneip, Andreas
1 Kruglikov, Boris S.
1 Kundt, Wolfgang
1 Kunzinger, Michael
1 Lee, Seungjae
1 Liu, Chiu-Chu Melissa
1 Lochak, Pierre
1 Ma, Chao
1 Maluf, José W.
1 Milson, Robert
1 Mohammadi, Amir
1 Mondino, Andrea
1 Moraes, Fernando Jorge Sampaio
1 Moreschi, Osvaldo M.
1 Moshchevitin, Nikolaĭ Germanovich
1 Nandi, Debanjan
1 Naudot, Vincent
1 Negreira, Felipe
1 Nichols, David A.
1 Odrzygóźdź, Zdzisław
1 Oh, Seung Hun
1 Perlick, Volker
1 Perng, Shyan-Ming
1 Podolský, Jiří
1 Prikryl, Ondřej
1 Pysiak, Leszek
1 Quispel, Gilles Reinout Willem
1 Radhika, M. M.
1 Romaña Ibarra, Sergio Augusto
1 Salehi Golsefidy, Alireza
1 Sátiro, Caio
1 Schmidt, Heinz-Jürgen
1 Schneider, Eivind
...and 17 more Authors
all top 5

Cited in 49 Serials

15 General Relativity and Gravitation
7 Journal of Mathematical Physics
5 Advances in Mathematics
5 Journal of Number Theory
5 Mathematika
4 International Journal of Theoretical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
3 Classical and Quantum Gravity
3 Communications in Mathematical Physics
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Monatshefte für Mathematik
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Chaos
2 Living Reviews in Relativity
2 International Journal of Number Theory
1 Modern Physics Letters A
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 Duke Mathematical Journal
1 Journal of Differential Equations
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Annals of Global Analysis and Geometry
1 Constructive Approximation
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Experimental Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Fractals
1 Finite Fields and their Applications
1 Discrete and Continuous Dynamical Systems
1 Annals of Mathematics. Second Series
1 Journal of Dynamical and Control Systems
1 Annales Henri Poincaré
1 Qualitative Theory of Dynamical Systems
1 Physical Review Letters
1 Physical Review D. Series III
1 Foundations of Physics
1 Journal of Modern Dynamics
1 Research in Number Theory
all top 5

Cited in 25 Fields

49 Number theory (11-XX)
39 Relativity and gravitational theory (83-XX)
26 Differential geometry (53-XX)
18 Dynamical systems and ergodic theory (37-XX)
14 Measure and integration (28-XX)
5 Ordinary differential equations (34-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Mechanics of particles and systems (70-XX)
4 Topological groups, Lie groups (22-XX)
2 Algebraic geometry (14-XX)
2 Abstract harmonic analysis (43-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Quantum theory (81-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year