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Author ID: percival.ian-c Recent zbMATH articles by "Percival, Ian C."
Published as: Percival, I. C.; Percival, Ian C.; Percival, Ian
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Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 532 times in 415 Documents Cited by Year
Transport in Hamiltonian systems. Zbl 0585.58039
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
119
1984
Converse KAM: theory and practice. Zbl 0585.58032
MacKay, R. S.; Percival, I. C.
62
1985
The quantum-state diffusion model applied to open systems. Zbl 0773.65100
Gisin, Nicolas; Percival, Ian C.
45
1992
Resonances in area-preserving maps. Zbl 0622.58016
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
41
1987
Quantum state diffusion. Zbl 0946.60093
Percival, Ian
33
1998
Arithmetical properties of strongly chaotic motions. Zbl 0616.58039
Percival, Ian; Vivaldi, Franco
26
1987
A variational principle for invariant tori of fixed frequency. Zbl 0394.70018
Percival, I. C.
21
1979
Introduction to dynamics. Zbl 0499.70027
Percival, Ian; Richards, Derek
14
1982
Resonances and transport in the sawtooth map. Zbl 0722.58019
Chen, Q.; Dana, I.; Meiss, J. D.; Murray, N. W.; Percival, I. C.
12
1990
Hamiltonian maps in the complex plane. Zbl 1194.37071
Greene, John M.; Percival, Ian C.
12
1981
Primary state diffusion. Zbl 0811.60101
Percival, Ian C.
11
1994
Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number. Zbl 0612.58028
Mackay, R. S.; Percival, I. C.
10
1987
Quantum chaos in open systems: a quantum state diffusion analysis. Zbl 0902.58034
Brun, Todd A.; Percival, Ian C.; Schack, Rüdiger
9
1996
Chaotic boundary of a hamiltonial map. Zbl 1194.37061
Percival, Ian C.
9
1982
A linear code for the sawtooth and cat maps. Zbl 0647.58031
Percival, Ian; Vivaldi, Franco
8
1987
Regular and chaotic motion in some quartic potentials. Zbl 0549.70010
Carnegie, A.; Percival, I. C.
8
1984
Critical function and modular smoothing. Zbl 0734.58030
Buric, N.; Percival, I. C.; Vivaldi, F.
7
1990
Almost periodicity and the quantal \(H\) theorem. Zbl 0108.21902
Percival, I. C.
7
1962
Quantum spacetime fluctuations and primary state diffusion. Zbl 0868.58086
Percival, Ian C.
6
1995
Decoherent histories and quantum state diffusion. Zbl 1020.81545
Diósi, Lajos; Gisin, Nicolas; Halliwell, Jonathan; Percival, Ian C.
6
1995
The direction of time. Zbl 0104.44101
Penrose, O.; Percival, I. C.
6
1962
Decoherence of quantum wave packets due to interaction with conformal space-time fluctuations. Zbl 1153.81463
Power, W. L.; Percival, I. C.
5
2000
Definite paths and upper bounds on regular regions of velocity phase space. Zbl 1194.37005
Newman, R. P. A. C.; Percival, I. C.
5
1983
Critical dynamics and trees. Zbl 0662.58038
Percival, Ian; Vivaldi, Franco
4
1988
Quantum state diffusion, measurement and second quantization. Zbl 1044.81539
Percival, Ian C.
4
1999
Quantum state diffusion, localization and computation. Zbl 0868.60104
Schack, Rüdiger; Brun, Todd A.; Percival, Ian C.
4
1995
Chaos in Hamiltonian systems. Zbl 0638.58018
Percival, I. C.
3
1987
Orbit extension method for finding unstable orbits. Zbl 0625.58029
Chen, Q.; Meiss, J. D.; Percival, I. C.
3
1987
Variational principles for the invariant toroids of classical dynamics. Zbl 0304.70022
Percival, I. C.
3
1974
BellTest and CHSH experiments with more than two settings. Zbl 1048.81015
Basoalto, R. M.; Percival, I. C.
3
2003
Non-integrable systems with algebraic singularities in complex time. Zbl 0751.58011
Bountis, T.; Drossos, L.; Percival, I. C.
3
1991
Modular smoothing and KAM tori. Zbl 0814.70013
Burić, Nikola; Percival, Ian C.
3
1994
Newton method for highly unstable orbits. Zbl 0616.65134
Mestel, Ben; Percival, Ian
2
1987
Cosmic quantum measurement. Zbl 1033.81016
Percival, I. C.
2
2000
Classical mechanics from quantum state diffusion – a phase-space approach. Zbl 0944.70014
Strunz, Walter T.; Percival, Ian C.
2
1998
Stochastic metastability and Hamiltonian dynamics. Zbl 0429.58010
Percival, I. C.
2
1979
Modular smoothing and finite perturbation theory. Zbl 0736.70013
Buric, N.; Percival, I. C.
2
1991
On the theory of elastic collisions between electrons and hydrogen atoms. Zbl 0089.21403
Castillejo, L.; Percival, I. C.; Seaton, M. J.
2
1960
Effect of mutual distortion on phase shifts of colliding systems. Zbl 0094.42304
Percival, Ian C.
2
1960
An iterated implicit complex map. Zbl 0604.58025
Bullett, Shaun R.; Osbaldestin, Andrew H.; Percival, Ian C.
1
1986
Why do Bell experiments? Zbl 0972.81517
Percival, I. C.
1
2001
Mixed classical-quantal representation for open quantum systems. Zbl 0873.60079
Steimle, T.; Alber, G.; Percival, I. C.
1
1995
The partial wave theory of electron-hydrogen atom collisions. Zbl 0079.21506
Percival, I. C.; Seaton, M. J.
1
1957
A variational principle for scattering phases. Zbl 0093.20903
Percival, I. C.
1
1960
Energy moments of scattering phase shifts. Zbl 0109.44902
Percival, I. C.
1
1962
BellTest and CHSH experiments with more than two settings. Zbl 1048.81015
Basoalto, R. M.; Percival, I. C.
3
2003
Why do Bell experiments? Zbl 0972.81517
Percival, I. C.
1
2001
Decoherence of quantum wave packets due to interaction with conformal space-time fluctuations. Zbl 1153.81463
Power, W. L.; Percival, I. C.
5
2000
Cosmic quantum measurement. Zbl 1033.81016
Percival, I. C.
2
2000
Quantum state diffusion, measurement and second quantization. Zbl 1044.81539
Percival, Ian C.
4
1999
Quantum state diffusion. Zbl 0946.60093
Percival, Ian
33
1998
Classical mechanics from quantum state diffusion – a phase-space approach. Zbl 0944.70014
Strunz, Walter T.; Percival, Ian C.
2
1998
Quantum chaos in open systems: a quantum state diffusion analysis. Zbl 0902.58034
Brun, Todd A.; Percival, Ian C.; Schack, Rüdiger
9
1996
Quantum spacetime fluctuations and primary state diffusion. Zbl 0868.58086
Percival, Ian C.
6
1995
Decoherent histories and quantum state diffusion. Zbl 1020.81545
Diósi, Lajos; Gisin, Nicolas; Halliwell, Jonathan; Percival, Ian C.
6
1995
Quantum state diffusion, localization and computation. Zbl 0868.60104
Schack, Rüdiger; Brun, Todd A.; Percival, Ian C.
4
1995
Mixed classical-quantal representation for open quantum systems. Zbl 0873.60079
Steimle, T.; Alber, G.; Percival, I. C.
1
1995
Primary state diffusion. Zbl 0811.60101
Percival, Ian C.
11
1994
Modular smoothing and KAM tori. Zbl 0814.70013
Burić, Nikola; Percival, Ian C.
3
1994
The quantum-state diffusion model applied to open systems. Zbl 0773.65100
Gisin, Nicolas; Percival, Ian C.
45
1992
Non-integrable systems with algebraic singularities in complex time. Zbl 0751.58011
Bountis, T.; Drossos, L.; Percival, I. C.
3
1991
Modular smoothing and finite perturbation theory. Zbl 0736.70013
Buric, N.; Percival, I. C.
2
1991
Resonances and transport in the sawtooth map. Zbl 0722.58019
Chen, Q.; Dana, I.; Meiss, J. D.; Murray, N. W.; Percival, I. C.
12
1990
Critical function and modular smoothing. Zbl 0734.58030
Buric, N.; Percival, I. C.; Vivaldi, F.
7
1990
Critical dynamics and trees. Zbl 0662.58038
Percival, Ian; Vivaldi, Franco
4
1988
Resonances in area-preserving maps. Zbl 0622.58016
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
41
1987
Arithmetical properties of strongly chaotic motions. Zbl 0616.58039
Percival, Ian; Vivaldi, Franco
26
1987
Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number. Zbl 0612.58028
Mackay, R. S.; Percival, I. C.
10
1987
A linear code for the sawtooth and cat maps. Zbl 0647.58031
Percival, Ian; Vivaldi, Franco
8
1987
Chaos in Hamiltonian systems. Zbl 0638.58018
Percival, I. C.
3
1987
Orbit extension method for finding unstable orbits. Zbl 0625.58029
Chen, Q.; Meiss, J. D.; Percival, I. C.
3
1987
Newton method for highly unstable orbits. Zbl 0616.65134
Mestel, Ben; Percival, Ian
2
1987
An iterated implicit complex map. Zbl 0604.58025
Bullett, Shaun R.; Osbaldestin, Andrew H.; Percival, Ian C.
1
1986
Converse KAM: theory and practice. Zbl 0585.58032
MacKay, R. S.; Percival, I. C.
62
1985
Transport in Hamiltonian systems. Zbl 0585.58039
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
119
1984
Regular and chaotic motion in some quartic potentials. Zbl 0549.70010
Carnegie, A.; Percival, I. C.
8
1984
Definite paths and upper bounds on regular regions of velocity phase space. Zbl 1194.37005
Newman, R. P. A. C.; Percival, I. C.
5
1983
Introduction to dynamics. Zbl 0499.70027
Percival, Ian; Richards, Derek
14
1982
Chaotic boundary of a hamiltonial map. Zbl 1194.37061
Percival, Ian C.
9
1982
Hamiltonian maps in the complex plane. Zbl 1194.37071
Greene, John M.; Percival, Ian C.
12
1981
A variational principle for invariant tori of fixed frequency. Zbl 0394.70018
Percival, I. C.
21
1979
Stochastic metastability and Hamiltonian dynamics. Zbl 0429.58010
Percival, I. C.
2
1979
Variational principles for the invariant toroids of classical dynamics. Zbl 0304.70022
Percival, I. C.
3
1974
Almost periodicity and the quantal \(H\) theorem. Zbl 0108.21902
Percival, I. C.
7
1962
The direction of time. Zbl 0104.44101
Penrose, O.; Percival, I. C.
6
1962
Energy moments of scattering phase shifts. Zbl 0109.44902
Percival, I. C.
1
1962
On the theory of elastic collisions between electrons and hydrogen atoms. Zbl 0089.21403
Castillejo, L.; Percival, I. C.; Seaton, M. J.
2
1960
Effect of mutual distortion on phase shifts of colliding systems. Zbl 0094.42304
Percival, Ian C.
2
1960
A variational principle for scattering phases. Zbl 0093.20903
Percival, I. C.
1
1960
The partial wave theory of electron-hydrogen atom collisions. Zbl 0079.21506
Percival, I. C.; Seaton, M. J.
1
1957
all top 5

Cited by 543 Authors

22 Meiss, James D.
20 MacKay, Robert Sinclair
12 Percival, Ian C.
9 Rom-Kedar, Vered
9 Wiggins, Stephen
8 Celletti, Alessandra
8 Vivaldi, Franco
7 Burić, Nikola I.
7 de la Llave, Rafael
7 Mora, Carlos M.
6 Caldas, Iberê L.
5 Chierchia, Luigi
5 Froyland, Gary
5 Gisin, Nicolas
5 Ramírez-Ros, Rafael
4 Barchielli, Alberto
4 Dewar, Robert L.
4 Diósi, Lajos
4 Froeschlé, Claude
4 Gentile, Guido
4 Marmi, Stefano
4 Mitchell, Kevin A.
4 Pellegrini, Clément
4 Penrose, Roger
4 Simó, Carles
4 Vaienti, Sandro
4 Zaslavskiĭ, Georgiĭ Moiseevich
3 Anastopoulos, Charis
3 Beigie, Darin
3 Contopoulos, George
3 Denisov, S. V.
3 Falcolini, Corrado
3 Gallavotti, Giovanni M.
3 Haller, George
3 Hughston, Lane P.
3 Ivanchenko, Mikhail V.
3 Koltai, Péter
3 Lomelí, Héctor E.
3 Miguel, Narcís
3 Mramor, Blaz
3 Mugnaine, Michele
3 Petruccione, Francesco
3 Rebolledo Berroeta, Rolando
3 Rink, Bob W.
3 Su, Xifeng
3 Szezech, José D. jun.
3 Viana, Ricardo Luiz
3 Vieiro, Arturo
3 Yusipov, I. I.
2 Arnaud, Marie-Claude
2 Balasuriya, Sanjeeva
2 Balazs, Nandor L.
2 Bartuccelli, Michele V.
2 Batista, Antonio Marcos
2 Beims, Marcus W.
2 Benoist, Tristan
2 Biscay, Rolando J.
2 Bollt, Erik M.
2 Borzì, Alfio
2 Bountis, Tassos C.
2 Branicki, Michał
2 Brasil, Carlos Alexandre
2 Breuer, Heinz-Peter
2 Brody, Dorje C.
2 Calleja, Renato C.
2 Casdagli, Martin C.
2 Chandre, Cristel
2 Chen, Fei
2 Chen, Qi
2 Daeimohamad, Mohsen
2 de Castro, Leonardo Andreta
2 Degli Esposti, Mirko
2 Delos, John B.
2 Dzhafarov, Ehtibar N.
2 Easton, Robert W.
2 Everitt, M. J.
2 Ezra, Gregory S.
2 Fox, Adam M.
2 Gimeno, Vicent
2 Gómez-Ullate, David
2 Guzzo, Massimiliano
2 Gzyl, Henryk
2 Haba, Zbigniew
2 Handley, J. P.
2 Harsoula, M.
2 Henson, Joe
2 Janzing, Dominik
2 Jauslin, Hans-Rudolf
2 Jones, Christopher K. R. T.
2 Kirwan, A. D. jun.
2 Knudson, S. K.
2 Kook, Hyung-tae
2 Kujala, Janne V.
2 Lagouvardos, Michalis
2 Lakshminarayan, Arul
2 Laskar, Jacques
2 Lega, Elena
2 Leonard, Anthony
2 Liao, Xiaofeng
2 Llibre, Jaume
...and 443 more Authors
all top 5

Cited in 116 Serials

85 Physica D
32 Chaos
24 Journal of Mathematical Physics
19 Journal of Statistical Physics
16 Physics Letters. A
14 Communications in Mathematical Physics
10 Foundations of Physics
9 Communications in Nonlinear Science and Numerical Simulation
8 International Journal of Theoretical Physics
8 Chaos, Solitons and Fractals
8 Physical Review Letters
7 Ergodic Theory and Dynamical Systems
6 Regular and Chaotic Dynamics
5 Journal of Differential Equations
5 Celestial Mechanics and Dynamical Astronomy
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 International Journal of Modern Physics B
4 Journal of Fluid Mechanics
4 Nonlinearity
4 Physics Reports
4 Experimental Mathematics
4 Journal of Physics A: Mathematical and Theoretical
3 Classical and Quantum Gravity
3 General Relativity and Gravitation
3 Journal of Computational Physics
3 Journal of Mathematical Analysis and Applications
3 Reviews of Modern Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Journal of the American Mathematical Society
3 Journal of Nonlinear Science
3 Physics of Fluids
3 New Journal of Physics
3 Journal of High Energy Physics
3 SIAM Journal on Applied Dynamical Systems
3 Journal of Statistical Mechanics: Theory and Experiment
3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
2 The Mathematical Intelligencer
2 The Annals of Applied Probability
2 Stochastic Processes and their Applications
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Journal of Mathematical Chemistry
2 Foundations of Computational Mathematics
2 Physical Review A, Third Series
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 European Journal of Physics
1 International Journal of Engineering Science
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Reports on Mathematical Physics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Advances in Mathematics
1 The Annals of Probability
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Computation
1 Commentarii Mathematici Helvetici
1 Duke Mathematical Journal
1 Publications Mathématiques
1 International Journal of Circuit Theory and Applications
1 Journal of Mathematical Psychology
1 Meccanica
1 Proceedings of the American Mathematical Society
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Boletim da Sociedade Portuguesa de Matemática
1 Revista Matemática Iberoamericana
1 Journal of Theoretical Probability
1 Aequationes Mathematicae
1 Celestial Mechanics
1 Journal of Physics A: Mathematical and General
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Journal of Dynamics and Differential Equations
1 Continuum Mechanics and Thermodynamics
1 Random Operators and Stochastic Equations
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Nonlinear Dynamics
1 Open Systems & Information Dynamics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Journal of the Royal Statistical Society. Series B. Statistical Methodology
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Annales Henri Poincaré
1 Journal of Modern Optics
...and 16 more Serials
all top 5

Cited in 46 Fields

239 Dynamical systems and ergodic theory (37-XX)
109 Quantum theory (81-XX)
70 Mechanics of particles and systems (70-XX)
52 Statistical mechanics, structure of matter (82-XX)
38 Probability theory and stochastic processes (60-XX)
27 Fluid mechanics (76-XX)
25 Partial differential equations (35-XX)
24 Ordinary differential equations (34-XX)
20 Numerical analysis (65-XX)
20 Relativity and gravitational theory (83-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Information and communication theory, circuits (94-XX)
10 Operator theory (47-XX)
9 Number theory (11-XX)
9 Systems theory; control (93-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Geophysics (86-XX)
7 Functional analysis (46-XX)
6 Difference and functional equations (39-XX)
6 Differential geometry (53-XX)
6 Mechanics of deformable solids (74-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Statistics (62-XX)
4 Optics, electromagnetic theory (78-XX)
4 Operations research, mathematical programming (90-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 General topology (54-XX)
3 Computer science (68-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Biology and other natural sciences (92-XX)
2 Group theory and generalizations (20-XX)
2 Real functions (26-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Citations by Year

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