Edit Profile (opens in new tab) Percival, Ian C. Compute Distance To: Compute Author ID: percival.ian-c Published as: Percival, I. C.; Percival, Ian C.; Percival, Ian more...less External Links: Wikidata · IdRef Documents Indexed: 55 Publications since 1957, including 2 Books 2 Contributions as Editor · 1 Further Contribution Co-Authors: 36 Co-Authors with 40 Joint Publications 677 Co-Co-Authors all top 5 Co-Authors 18 single-authored 5 Vivaldi, Franco 4 MacKay, Robert Sinclair 4 Meiss, James D. 3 Burić, Nikola I. 3 Gisin, Nicolas 2 Basoalto, R. M. 2 Berry, Michael Victor 2 Bountis, Tassos C. 2 Brun, Todd A. 2 Chen, Qi 2 Diósi, Lajos 2 Greene, John M. 2 Halliwell, Jonathan J. 2 Schack, Rüdiger 2 Seaton, Michael John 2 Strunz, Walter T. 2 Weiss, Nigel O. 1 Alber, Gernot 1 Bullett, Shaun R. 1 Burke, P. G. 1 Burke, V. M. 1 Carnegie, A. 1 Castillejo, L. 1 Chao, A. W. 1 Chirikov, Boris Valerianovich 1 Courant, Ernest D. 1 Coutsias, Evangelos A. 1 Dana, Itzhack 1 Dragt, Alex J. 1 Ford, Joseph J. III 1 Garraway, Barry M. 1 Helleman, Robert H. G. 1 Herrera, John C. 1 Liberman, Michael A. 1 Lichtenberg, Allan J. 1 McCarroll, R. W. 1 McGarr, P. R. 1 Mestel, Ben D. 1 Month, Melvin 1 Moser, Jürgen K. 1 Murray, N. W. 1 Newman, Richard P. A. C. 1 Osbaldestin, Andrew H. 1 Penrose, Oliver 1 Power, W. L. 1 Richards, Derek 1 Steimle, T. 1 Tennyson, J. L. 1 Yu, Ting all top 5 Serials 15 Physica D 11 Journal of Physics A: Mathematical and General 5 Physics Letters. A 5 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 5 Proceedings of the Physical Society 2 Nonlinearity 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Physical Review Letters 1 Proceedings of the Cambridge Philosophical Society 1 Physical Review, II. Series 1 Proceedings of the Physical Society, Section A 1 AIP Conference Proceedings all top 5 Fields 23 Dynamical systems and ergodic theory (37-XX) 20 Quantum theory (81-XX) 11 Mechanics of particles and systems (70-XX) 7 Probability theory and stochastic processes (60-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 532 times in 415 Documents Cited by ▼ Year ▼ Transport in Hamiltonian systems. Zbl 0585.58039Mackay, R. S.; Meiss, J. D.; Percival, I. C. 119 1984 Converse KAM: theory and practice. Zbl 0585.58032MacKay, R. S.; Percival, I. C. 62 1985 The quantum-state diffusion model applied to open systems. Zbl 0773.65100Gisin, Nicolas; Percival, Ian C. 45 1992 Resonances in area-preserving maps. Zbl 0622.58016Mackay, R. S.; Meiss, J. D.; Percival, I. C. 41 1987 Quantum state diffusion. Zbl 0946.60093Percival, Ian 33 1998 Arithmetical properties of strongly chaotic motions. Zbl 0616.58039Percival, Ian; Vivaldi, Franco 26 1987 A variational principle for invariant tori of fixed frequency. Zbl 0394.70018Percival, I. C. 21 1979 Introduction to dynamics. Zbl 0499.70027Percival, Ian; Richards, Derek 14 1982 Resonances and transport in the sawtooth map. Zbl 0722.58019Chen, Q.; Dana, I.; Meiss, J. D.; Murray, N. W.; Percival, I. C. 12 1990 Hamiltonian maps in the complex plane. Zbl 1194.37071Greene, John M.; Percival, Ian C. 12 1981 Primary state diffusion. Zbl 0811.60101Percival, Ian C. 11 1994 Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number. Zbl 0612.58028Mackay, R. S.; Percival, I. C. 10 1987 Quantum chaos in open systems: a quantum state diffusion analysis. Zbl 0902.58034Brun, Todd A.; Percival, Ian C.; Schack, Rüdiger 9 1996 Chaotic boundary of a hamiltonial map. Zbl 1194.37061Percival, Ian C. 9 1982 A linear code for the sawtooth and cat maps. Zbl 0647.58031Percival, Ian; Vivaldi, Franco 8 1987 Regular and chaotic motion in some quartic potentials. Zbl 0549.70010Carnegie, A.; Percival, I. C. 8 1984 Critical function and modular smoothing. Zbl 0734.58030Buric, N.; Percival, I. C.; Vivaldi, F. 7 1990 Almost periodicity and the quantal \(H\) theorem. Zbl 0108.21902Percival, I. C. 7 1962 Quantum spacetime fluctuations and primary state diffusion. Zbl 0868.58086Percival, Ian C. 6 1995 Decoherent histories and quantum state diffusion. Zbl 1020.81545Diósi, Lajos; Gisin, Nicolas; Halliwell, Jonathan; Percival, Ian C. 6 1995 The direction of time. Zbl 0104.44101Penrose, O.; Percival, I. C. 6 1962 Decoherence of quantum wave packets due to interaction with conformal space-time fluctuations. Zbl 1153.81463Power, W. L.; Percival, I. C. 5 2000 Definite paths and upper bounds on regular regions of velocity phase space. Zbl 1194.37005Newman, R. P. A. C.; Percival, I. C. 5 1983 Critical dynamics and trees. Zbl 0662.58038Percival, Ian; Vivaldi, Franco 4 1988 Quantum state diffusion, measurement and second quantization. Zbl 1044.81539Percival, Ian C. 4 1999 Quantum state diffusion, localization and computation. Zbl 0868.60104Schack, Rüdiger; Brun, Todd A.; Percival, Ian C. 4 1995 Chaos in Hamiltonian systems. Zbl 0638.58018Percival, I. C. 3 1987 Orbit extension method for finding unstable orbits. Zbl 0625.58029Chen, Q.; Meiss, J. D.; Percival, I. C. 3 1987 Variational principles for the invariant toroids of classical dynamics. Zbl 0304.70022Percival, I. C. 3 1974 BellTest and CHSH experiments with more than two settings. Zbl 1048.81015Basoalto, R. M.; Percival, I. C. 3 2003 Non-integrable systems with algebraic singularities in complex time. Zbl 0751.58011Bountis, T.; Drossos, L.; Percival, I. C. 3 1991 Modular smoothing and KAM tori. Zbl 0814.70013Burić, Nikola; Percival, Ian C. 3 1994 Newton method for highly unstable orbits. Zbl 0616.65134Mestel, Ben; Percival, Ian 2 1987 Cosmic quantum measurement. Zbl 1033.81016Percival, I. C. 2 2000 Classical mechanics from quantum state diffusion – a phase-space approach. Zbl 0944.70014Strunz, Walter T.; Percival, Ian C. 2 1998 Stochastic metastability and Hamiltonian dynamics. Zbl 0429.58010Percival, I. C. 2 1979 Modular smoothing and finite perturbation theory. Zbl 0736.70013Buric, N.; Percival, I. C. 2 1991 On the theory of elastic collisions between electrons and hydrogen atoms. Zbl 0089.21403Castillejo, L.; Percival, I. C.; Seaton, M. J. 2 1960 Effect of mutual distortion on phase shifts of colliding systems. Zbl 0094.42304Percival, Ian C. 2 1960 An iterated implicit complex map. Zbl 0604.58025Bullett, Shaun R.; Osbaldestin, Andrew H.; Percival, Ian C. 1 1986 Why do Bell experiments? Zbl 0972.81517Percival, I. C. 1 2001 Mixed classical-quantal representation for open quantum systems. Zbl 0873.60079Steimle, T.; Alber, G.; Percival, I. C. 1 1995 The partial wave theory of electron-hydrogen atom collisions. Zbl 0079.21506Percival, I. C.; Seaton, M. J. 1 1957 A variational principle for scattering phases. Zbl 0093.20903Percival, I. C. 1 1960 Energy moments of scattering phase shifts. Zbl 0109.44902Percival, I. C. 1 1962 BellTest and CHSH experiments with more than two settings. Zbl 1048.81015Basoalto, R. M.; Percival, I. C. 3 2003 Why do Bell experiments? Zbl 0972.81517Percival, I. C. 1 2001 Decoherence of quantum wave packets due to interaction with conformal space-time fluctuations. Zbl 1153.81463Power, W. L.; Percival, I. C. 5 2000 Cosmic quantum measurement. Zbl 1033.81016Percival, I. C. 2 2000 Quantum state diffusion, measurement and second quantization. Zbl 1044.81539Percival, Ian C. 4 1999 Quantum state diffusion. Zbl 0946.60093Percival, Ian 33 1998 Classical mechanics from quantum state diffusion – a phase-space approach. Zbl 0944.70014Strunz, Walter T.; Percival, Ian C. 2 1998 Quantum chaos in open systems: a quantum state diffusion analysis. Zbl 0902.58034Brun, Todd A.; Percival, Ian C.; Schack, Rüdiger 9 1996 Quantum spacetime fluctuations and primary state diffusion. Zbl 0868.58086Percival, Ian C. 6 1995 Decoherent histories and quantum state diffusion. Zbl 1020.81545Diósi, Lajos; Gisin, Nicolas; Halliwell, Jonathan; Percival, Ian C. 6 1995 Quantum state diffusion, localization and computation. Zbl 0868.60104Schack, Rüdiger; Brun, Todd A.; Percival, Ian C. 4 1995 Mixed classical-quantal representation for open quantum systems. Zbl 0873.60079Steimle, T.; Alber, G.; Percival, I. C. 1 1995 Primary state diffusion. Zbl 0811.60101Percival, Ian C. 11 1994 Modular smoothing and KAM tori. Zbl 0814.70013Burić, Nikola; Percival, Ian C. 3 1994 The quantum-state diffusion model applied to open systems. Zbl 0773.65100Gisin, Nicolas; Percival, Ian C. 45 1992 Non-integrable systems with algebraic singularities in complex time. Zbl 0751.58011Bountis, T.; Drossos, L.; Percival, I. C. 3 1991 Modular smoothing and finite perturbation theory. Zbl 0736.70013Buric, N.; Percival, I. C. 2 1991 Resonances and transport in the sawtooth map. Zbl 0722.58019Chen, Q.; Dana, I.; Meiss, J. D.; Murray, N. W.; Percival, I. C. 12 1990 Critical function and modular smoothing. Zbl 0734.58030Buric, N.; Percival, I. C.; Vivaldi, F. 7 1990 Critical dynamics and trees. Zbl 0662.58038Percival, Ian; Vivaldi, Franco 4 1988 Resonances in area-preserving maps. Zbl 0622.58016Mackay, R. S.; Meiss, J. D.; Percival, I. C. 41 1987 Arithmetical properties of strongly chaotic motions. Zbl 0616.58039Percival, Ian; Vivaldi, Franco 26 1987 Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number. Zbl 0612.58028Mackay, R. S.; Percival, I. C. 10 1987 A linear code for the sawtooth and cat maps. Zbl 0647.58031Percival, Ian; Vivaldi, Franco 8 1987 Chaos in Hamiltonian systems. Zbl 0638.58018Percival, I. C. 3 1987 Orbit extension method for finding unstable orbits. Zbl 0625.58029Chen, Q.; Meiss, J. D.; Percival, I. C. 3 1987 Newton method for highly unstable orbits. Zbl 0616.65134Mestel, Ben; Percival, Ian 2 1987 An iterated implicit complex map. Zbl 0604.58025Bullett, Shaun R.; Osbaldestin, Andrew H.; Percival, Ian C. 1 1986 Converse KAM: theory and practice. Zbl 0585.58032MacKay, R. S.; Percival, I. C. 62 1985 Transport in Hamiltonian systems. Zbl 0585.58039Mackay, R. S.; Meiss, J. D.; Percival, I. C. 119 1984 Regular and chaotic motion in some quartic potentials. Zbl 0549.70010Carnegie, A.; Percival, I. C. 8 1984 Definite paths and upper bounds on regular regions of velocity phase space. Zbl 1194.37005Newman, R. P. A. C.; Percival, I. C. 5 1983 Introduction to dynamics. Zbl 0499.70027Percival, Ian; Richards, Derek 14 1982 Chaotic boundary of a hamiltonial map. Zbl 1194.37061Percival, Ian C. 9 1982 Hamiltonian maps in the complex plane. Zbl 1194.37071Greene, John M.; Percival, Ian C. 12 1981 A variational principle for invariant tori of fixed frequency. Zbl 0394.70018Percival, I. C. 21 1979 Stochastic metastability and Hamiltonian dynamics. Zbl 0429.58010Percival, I. C. 2 1979 Variational principles for the invariant toroids of classical dynamics. Zbl 0304.70022Percival, I. C. 3 1974 Almost periodicity and the quantal \(H\) theorem. Zbl 0108.21902Percival, I. C. 7 1962 The direction of time. Zbl 0104.44101Penrose, O.; Percival, I. C. 6 1962 Energy moments of scattering phase shifts. Zbl 0109.44902Percival, I. C. 1 1962 On the theory of elastic collisions between electrons and hydrogen atoms. Zbl 0089.21403Castillejo, L.; Percival, I. C.; Seaton, M. J. 2 1960 Effect of mutual distortion on phase shifts of colliding systems. Zbl 0094.42304Percival, Ian C. 2 1960 A variational principle for scattering phases. Zbl 0093.20903Percival, I. C. 1 1960 The partial wave theory of electron-hydrogen atom collisions. Zbl 0079.21506Percival, I. C.; Seaton, M. J. 1 1957 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.