Edit Profile (opens in new tab) Hudson, Robin Lyth Compute Distance To: Compute Author ID: hudson.robin-lyth Published as: Hudson, R. L.; Hudson, Robin L.; Hudson, Robin; Hudson, Robin Lyth; Hudson, R. External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 106 Publications since 1971 2 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 28 Co-Authors with 60 Joint Publications 551 Co-Co-Authors all top 5 Co-Authors 47 single-authored 18 Parthasarathy, Kalyanapuram Rangachari 9 Pulmannová, Sylvia 6 Lindsay, J. Martin 4 Ion, Patrick D. F. 3 Evans, M. P. 3 Peck, S. N. 3 Tretkoff, Paula 2 Belavkin, Viacheslav 2 Cockroft, A. M. 2 Eyre, Timothy M. W. 2 Gudder, Stanley P. 2 Hirota, Osamu 2 Pei, Yuchen 2 Shepperson, P. A. 2 Struleckaja, V. R. 2 Wilkinson, Mark D. 1 Accardi, Luigi 1 Applebaum, David B. 1 Attal, Stéphane 1 Brownell, F. H. III 1 Chen, Shang 1 Cushen, C. D. 1 Devinatz, Allen 1 Dolph, Charles L. 1 Enss, Volker 1 Goodrich, Robert Kent 1 Gustafson, Karl Edwin 1 Hartman, R. L. 1 Howland, James S. 1 Jaffé, Charles 1 Johanson, G. 1 Jones, William Branham 1 Karandikar, Rajeeva Laxman 1 Klink, William H. 1 Kree, Paul 1 Lindsay, Martin J. 1 Marchand, Jean-Paul 1 Misra, Baidyanath 1 Moody, G. R. 1 Ramm, Alexander G. 1 Reinhardt, William P. 1 Schauz, Uwe 1 Schechter, Martin 1 Schroeck, Franklin E. jun. 1 Seddighin, Morteza 1 Shirts, Randall B. 1 Sigal, Israel Michael 1 Simon, Barry 1 Sinha, Kalyan B. 1 Streater, Raymond F. 1 Tadjeran, H. 1 Thron, Wolfgang Joseph 1 Ton-That, Tuong 1 Weder, Ricardo A. 1 Wu, Yue all top 5 Serials 5 Communications in Mathematical Physics 5 Journal of Mathematical Physics 5 Letters in Mathematical Physics 4 International Journal of Theoretical Physics 4 Reports on Mathematical Physics 4 Journal of Functional Analysis 3 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Journal of the London Mathematical Society. Second Series 2 Journal of Multivariate Analysis 2 Mathematica Slovaca 2 Tatra Mountains Mathematical Publications 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Journal of Applied Probability 1 Kybernetika 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Journal of Applied Analysis 1 Markov Processes and Related Fields 1 Acta Physica Polonica B 1 Stochastics 1 QP–PQ: Quantum Probability and White Noise Analysis 1 Communications on Stochastic Analysis 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 85 Quantum theory (81-XX) 62 Probability theory and stochastic processes (60-XX) 45 Functional analysis (46-XX) 12 Operator theory (47-XX) 9 Associative rings and algebras (16-XX) 8 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 907 times in 605 Documents Cited by ▼ Year ▼ Quantum Ito’s formula and stochastic evolutions. Zbl 0546.60058Hudson, R. L.; Parthasarathy, K. R. 346 1984 When is the Wigner quasi-probability density non-negative? Zbl 0324.60018Hudson, R. L. 81 1974 Locally normal symmetric states and an analogue of deFinetti’s theorem. Zbl 0304.60001Hudson, R. L.; Moody, G. R. 51 1976 A quantum-mechanical central limit theorem. Zbl 0224.60049Cushen, C. D.; Hudson, R. L. 47 1971 Fermion Ito’s formula and stochastic evolutions. Zbl 0572.60052Applebaum, D. B.; Hudson, R. L. 45 1984 Unification of Fermion and Boson stochastic calculus. Zbl 0604.60063Hudson, R. L.; Parthasarathy, K. R. 34 1986 Quantum mechanical Wiener processes. Zbl 0401.60086Cockroft, A. M.; Hudson, R. L. 32 1977 A non-commutative martingale representation theorem for non-Fock quantum Brownian motion. Zbl 0577.60055Hudson, R. L.; Lindsay, J. M. 24 1985 Stochastic dilations of uniformly continuous completely positive semigroups. Zbl 0541.60066Hudson, R. L.; Parthasarathy, K. R. 21 1984 A noncommutative probability theory. Zbl 0407.46057Gudder, S. P.; Hudson, R. L. 16 1978 Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. Zbl 0485.46038Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R. 13 1982 The strong Markov property for canonical Wiener processes. Zbl 0424.46048Hudson, R. L. 12 1979 Uses of non-Fock quantum Brownian motion and a quantum martingale representation theorem. Zbl 0569.60055Hudson, R. L.; Lindsay, J. M. 11 1985 On characterizing quantum stochastic evolutions. Zbl 0644.46046Hudson, R. L.; Lindsay, J. M. 11 1987 A quantum-mechanical functional central limit theorem. Zbl 0401.60087Cockroft, A. M.; Gudder, S. P.; Hudson, R. L. 10 1977 Chaotic expansion of elements of the universal enveloping algebra of a Lie algebra associated with a quantum stochastic calculus. Zbl 0904.60084Hudson, R. L.; Pulmannová, S. 7 1998 Translation-invariant integrals, and Fourier analysis on Clifford and Grassmann algebras. Zbl 0434.43007Hudson, R. L.; Wilkinson, M. D.; Peck, S. N. 6 1980 Some properties of quantum Lévy area in Fock and non-Fock quantum stochastic calculus. Zbl 1283.81099Chen, Shang; Hudson, Robin 6 2013 Quantum diffusions and the noncommutative torus. Zbl 0644.46047Hudson, R. L.; Robinson, P. 6 1988 Multidimensional quantum diffusions. Zbl 0648.46056Evans, M.; Hudson, R. L. 6 1988 Calculus in enveloping algebras. Zbl 1010.17009Hudson, R. L. 5 2002 Double product integrals and Enriquez quantization of Lie bialgebras. I: The quasitriangular identities. Zbl 1071.81073Hudson, R. L.; Pulmannová, S. 5 2004 A new system of Casimir operators for U(n). Zbl 0281.22020Hudson, R. L. 5 1974 Stochastic integral representation of some quantum martingales in Fock space. Zbl 0616.46073Hudson, R. L.; Lindsay, J. M.; Parthasarathy, K. R. 5 1986 Quantum diffusions and cohomology of algebras. Zbl 0692.46068Hudson, R. L. 4 1987 Construction of quantum diffusions. Zbl 0542.60053Hudson, R. L.; Parthasarathy, K. R. 4 1984 The world of quantum noise and the fundamental output process. Zbl 0942.81591Belavkin, V. P.; Hirota, O.; Hudson, R. L. 4 1995 Double product integrals and Enriquez quantisation of Lie bialgebras. II: The quantum Yang-Baxter equation. Zbl 1079.53139Hudson, R. L.; Pulmannová, S. 3 2005 Sticky shuffle product Hopf algebras and their stochastic representations. Zbl 1266.81123Hudson, Robin 3 2012 Perturbations of quantum diffusions. Zbl 0719.60083Evans, M. P.; Hudson, R. L. 3 1990 Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. II. Zbl 0575.46053Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R. 3 1984 Quantum communications and measurement. Papers from the international workshop, Univ. of Nottingham, Nottingham, GB, July 10–16, 1994. Zbl 0942.81501 3 1995 The Feynman-Kac formula for a canonical quantum-mechanical Wiener process. Zbl 0491.60098Hudson, R. L.; Ion, P. D. F. 3 1981 Algebraic theory of quantum diffusions. Zbl 0654.60049Hudson, R. L. 3 1988 Structure relations for fermionic flows. Zbl 0820.46062Hudson, R. L.; Shepperson, P. A. 3 1992 Fermion flows and supersymmetry. Zbl 0796.58055Hudson, R. L. 3 1993 Casimir chaos in a boson Fock space. Zbl 0804.60052Hudson, R. L.; Parthasarathy, K. R. 3 1994 Chaos map for the universal enveloping algebra of \(U(N)\). Zbl 0815.60057Hudson, R. L.; Parthasarathy, K. R. 3 1995 Hopf-algebraic aspects of iterated stochastic integrals. Zbl 1182.81052Hudson, R. L. 3 2009 A short walk in quantum probability. Zbl 1470.81011Hudson, Robin 2 2018 Flows of quantum noise. Zbl 0956.60068Hudson, Robin L.; Lindsay, J. Martin; Parthasarathy, K. R. 2 1998 Measurements of entanglement and a quantum de Finetti theorem. Zbl 1063.81030Hudson, R. L. 2 2004 Itô calculus and quantisation of Lie bialgebras. Zbl 1074.81043Hudson, R. L. 2 2005 Higher order Ito product formula and generators of evolutions and flows. Zbl 0850.81035Cohen, P. Beazley; Eyre, T. M. W.; Hudson, R. L. 2 1995 Fermionic quantum stochastic flows. Zbl 0862.46047Hudson, R. L.; Struleckaja, V. R. 2 1996 Fourier analysis on multiple representations of locally compact Abelian groups. Zbl 0558.22004Hudson, R. L.; Wilkinson, M. D.; Peck, S. N. 2 1984 Translation-invariant quantizations and algebraic structures on phase space. Zbl 0362.46050Hudson, R. L. 2 1976 Translation-invariant traces and Fourier analysis on multiplier representation of vector groups. Zbl 0392.43005Hudson, R. L. 2 1978 Stochastic dilations of quantum dynamical semigroups using one- dimensional quantum stochastic calculus. Zbl 0706.60067Hudson, R. L.; Shepperson, P. 2 1990 Symmetrized double quantum stochastic product integrals. Zbl 0985.81053Hudson, R. L.; Pulmannová, S. 2 2000 The classical limit of reduced quantum stochastic evolutions. Zbl 0581.60067Hudson, Robin; Lindsay, Martin 2 1985 Quantum stochastic flows. Zbl 0743.46068Hudson, R. L. 2 1990 Deformation coproducts and differential maps. Zbl 1151.53069Hudson, R. L.; Pulmannová, S. 2 2008 Quantum stochastic calculus for Hilbert-Schmidt processes. Zbl 0677.60056Hudson, R. L.; Krée, P. 2 1989 Quantum Bochner theorems and incompatible observables. Zbl 1219.81175Hudson, R. 2 2010 Method of formal power series in quantum stochastic calculus. Zbl 0968.60101Hudson, R. L.; Parthasarathy, K. R.; Pulmannová, S. 2 2000 Quantum Lévy area as quantum martingale limit. Zbl 1327.81253Hudson, Robin L. 2 2013 Stop times in Fock space quantum probability. Zbl 1118.81048Hudson, R. L. 2 2007 Moments of quantum Lévy areas using sticky shuffle Hopf algebras. Zbl 1408.81021Hudson, Robin L.; Schauz, Uwe; Wu, Yue 1 2018 On Hausdorff-Young inequalities for quantum Fourier transformations. Zbl 0887.46037Hudson, R. L. 1 1997 An introduction to quantum stochastic calculus and some of its applications. Zbl 1255.81186Hudson, R. L. 1 2003 Non-Abelian cohomology and fermion flows over \(\mathbb{Z}_ 2\)-graded \(*\)-algebras. Zbl 0856.46042Hudson, R. L.; Struleckaja, V. R. 1 1996 Canonical Fourier transforms. Zbl 0422.43005Hudson, R. L.; Peck, S. N. 1 1979 Quantum stochastic flows and non abelian cohomology. Zbl 0717.60112Accardi, Luigi; Hudson, R. L. 1 1990 Generalised Weyl operators. Zbl 0551.60062Hudson, R. L.; Parthasarathy, K. R. 1 1984 Algebraic theory of product integrals in quantum stochastic calculus. Zbl 0987.81045Hudson, R. L.; Pulmannová, S. 1 2000 Quantum mechanics in mathematics, chemistry, and physics. (Proceedings of a Special Session in Mathematical Physics organized as a part of the 774th Meeting of the American Mathematical Society, held March 27-29, 1980, in Boulder, Colorado). Zbl 0489.46053 1 1981 Towards a theory of noncommutative semimartingales adapted to Brownian motion and a quantum Ito’s formula. Zbl 0514.60053Hudson, R. L.; Karandikar, R. L.; Parthasarathy, K. R. 1 1983 Stochastic dilations of uniformly continuous completely positive semigroups. Zbl 0529.60067Hudson, R. L. 1 1984 The Casimir chaos map for \(U(N)\). Zbl 0798.60068Hudson, R. L.; Parthasarathy, K. R. 1 1993 Explicit construction of a unitary double product integral. Zbl 1271.81091Hudson, R. L.; Jones, Paul 1 2012 Forward and backward adapted quantum stochastic calculus and double product integrals. Zbl 1311.81164Hudson, R. L. 1 2014 A double dilation constructed from a double product of rotations. Zbl 1134.81030Hudson, R. L. 1 2007 Unitary causal quantum stochastic double products as universal interactions. I. Zbl 1371.81194Hudson, Robin L.; Pei, Yuchen 1 2015 A short walk in quantum probability. Zbl 1470.81011Hudson, Robin 2 2018 Moments of quantum Lévy areas using sticky shuffle Hopf algebras. Zbl 1408.81021Hudson, Robin L.; Schauz, Uwe; Wu, Yue 1 2018 Unitary causal quantum stochastic double products as universal interactions. I. Zbl 1371.81194Hudson, Robin L.; Pei, Yuchen 1 2015 Forward and backward adapted quantum stochastic calculus and double product integrals. Zbl 1311.81164Hudson, R. L. 1 2014 Some properties of quantum Lévy area in Fock and non-Fock quantum stochastic calculus. Zbl 1283.81099Chen, Shang; Hudson, Robin 6 2013 Quantum Lévy area as quantum martingale limit. Zbl 1327.81253Hudson, Robin L. 2 2013 Sticky shuffle product Hopf algebras and their stochastic representations. Zbl 1266.81123Hudson, Robin 3 2012 Explicit construction of a unitary double product integral. Zbl 1271.81091Hudson, R. L.; Jones, Paul 1 2012 Quantum Bochner theorems and incompatible observables. Zbl 1219.81175Hudson, R. 2 2010 Hopf-algebraic aspects of iterated stochastic integrals. Zbl 1182.81052Hudson, R. L. 3 2009 Deformation coproducts and differential maps. Zbl 1151.53069Hudson, R. L.; Pulmannová, S. 2 2008 Stop times in Fock space quantum probability. Zbl 1118.81048Hudson, R. L. 2 2007 A double dilation constructed from a double product of rotations. Zbl 1134.81030Hudson, R. L. 1 2007 Double product integrals and Enriquez quantisation of Lie bialgebras. II: The quantum Yang-Baxter equation. Zbl 1079.53139Hudson, R. L.; Pulmannová, S. 3 2005 Itô calculus and quantisation of Lie bialgebras. Zbl 1074.81043Hudson, R. L. 2 2005 Double product integrals and Enriquez quantization of Lie bialgebras. I: The quasitriangular identities. Zbl 1071.81073Hudson, R. L.; Pulmannová, S. 5 2004 Measurements of entanglement and a quantum de Finetti theorem. Zbl 1063.81030Hudson, R. L. 2 2004 An introduction to quantum stochastic calculus and some of its applications. Zbl 1255.81186Hudson, R. L. 1 2003 Calculus in enveloping algebras. Zbl 1010.17009Hudson, R. L. 5 2002 Symmetrized double quantum stochastic product integrals. Zbl 0985.81053Hudson, R. L.; Pulmannová, S. 2 2000 Method of formal power series in quantum stochastic calculus. Zbl 0968.60101Hudson, R. L.; Parthasarathy, K. R.; Pulmannová, S. 2 2000 Algebraic theory of product integrals in quantum stochastic calculus. Zbl 0987.81045Hudson, R. L.; Pulmannová, S. 1 2000 Chaotic expansion of elements of the universal enveloping algebra of a Lie algebra associated with a quantum stochastic calculus. Zbl 0904.60084Hudson, R. L.; Pulmannová, S. 7 1998 Flows of quantum noise. Zbl 0956.60068Hudson, Robin L.; Lindsay, J. Martin; Parthasarathy, K. R. 2 1998 On Hausdorff-Young inequalities for quantum Fourier transformations. Zbl 0887.46037Hudson, R. L. 1 1997 Fermionic quantum stochastic flows. Zbl 0862.46047Hudson, R. L.; Struleckaja, V. R. 2 1996 Non-Abelian cohomology and fermion flows over \(\mathbb{Z}_ 2\)-graded \(*\)-algebras. Zbl 0856.46042Hudson, R. L.; Struleckaja, V. R. 1 1996 The world of quantum noise and the fundamental output process. Zbl 0942.81591Belavkin, V. P.; Hirota, O.; Hudson, R. L. 4 1995 Quantum communications and measurement. Papers from the international workshop, Univ. of Nottingham, Nottingham, GB, July 10–16, 1994. Zbl 0942.81501 3 1995 Chaos map for the universal enveloping algebra of \(U(N)\). Zbl 0815.60057Hudson, R. L.; Parthasarathy, K. R. 3 1995 Higher order Ito product formula and generators of evolutions and flows. Zbl 0850.81035Cohen, P. Beazley; Eyre, T. M. W.; Hudson, R. L. 2 1995 Casimir chaos in a boson Fock space. Zbl 0804.60052Hudson, R. L.; Parthasarathy, K. R. 3 1994 Fermion flows and supersymmetry. Zbl 0796.58055Hudson, R. L. 3 1993 The Casimir chaos map for \(U(N)\). Zbl 0798.60068Hudson, R. L.; Parthasarathy, K. R. 1 1993 Structure relations for fermionic flows. Zbl 0820.46062Hudson, R. L.; Shepperson, P. A. 3 1992 Perturbations of quantum diffusions. Zbl 0719.60083Evans, M. P.; Hudson, R. L. 3 1990 Stochastic dilations of quantum dynamical semigroups using one- dimensional quantum stochastic calculus. Zbl 0706.60067Hudson, R. L.; Shepperson, P. 2 1990 Quantum stochastic flows. Zbl 0743.46068Hudson, R. L. 2 1990 Quantum stochastic flows and non abelian cohomology. Zbl 0717.60112Accardi, Luigi; Hudson, R. L. 1 1990 Quantum stochastic calculus for Hilbert-Schmidt processes. Zbl 0677.60056Hudson, R. L.; Krée, P. 2 1989 Quantum diffusions and the noncommutative torus. Zbl 0644.46047Hudson, R. L.; Robinson, P. 6 1988 Multidimensional quantum diffusions. Zbl 0648.46056Evans, M.; Hudson, R. L. 6 1988 Algebraic theory of quantum diffusions. Zbl 0654.60049Hudson, R. L. 3 1988 On characterizing quantum stochastic evolutions. Zbl 0644.46046Hudson, R. L.; Lindsay, J. M. 11 1987 Quantum diffusions and cohomology of algebras. Zbl 0692.46068Hudson, R. L. 4 1987 Unification of Fermion and Boson stochastic calculus. Zbl 0604.60063Hudson, R. L.; Parthasarathy, K. R. 34 1986 Stochastic integral representation of some quantum martingales in Fock space. Zbl 0616.46073Hudson, R. L.; Lindsay, J. M.; Parthasarathy, K. R. 5 1986 A non-commutative martingale representation theorem for non-Fock quantum Brownian motion. Zbl 0577.60055Hudson, R. L.; Lindsay, J. M. 24 1985 Uses of non-Fock quantum Brownian motion and a quantum martingale representation theorem. Zbl 0569.60055Hudson, R. L.; Lindsay, J. M. 11 1985 The classical limit of reduced quantum stochastic evolutions. Zbl 0581.60067Hudson, Robin; Lindsay, Martin 2 1985 Quantum Ito’s formula and stochastic evolutions. Zbl 0546.60058Hudson, R. L.; Parthasarathy, K. R. 346 1984 Fermion Ito’s formula and stochastic evolutions. Zbl 0572.60052Applebaum, D. B.; Hudson, R. L. 45 1984 Stochastic dilations of uniformly continuous completely positive semigroups. Zbl 0541.60066Hudson, R. L.; Parthasarathy, K. R. 21 1984 Construction of quantum diffusions. Zbl 0542.60053Hudson, R. L.; Parthasarathy, K. R. 4 1984 Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. II. Zbl 0575.46053Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R. 3 1984 Fourier analysis on multiple representations of locally compact Abelian groups. Zbl 0558.22004Hudson, R. L.; Wilkinson, M. D.; Peck, S. N. 2 1984 Generalised Weyl operators. Zbl 0551.60062Hudson, R. L.; Parthasarathy, K. R. 1 1984 Stochastic dilations of uniformly continuous completely positive semigroups. Zbl 0529.60067Hudson, R. L. 1 1984 Towards a theory of noncommutative semimartingales adapted to Brownian motion and a quantum Ito’s formula. Zbl 0514.60053Hudson, R. L.; Karandikar, R. L.; Parthasarathy, K. R. 1 1983 Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. Zbl 0485.46038Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R. 13 1982 The Feynman-Kac formula for a canonical quantum-mechanical Wiener process. Zbl 0491.60098Hudson, R. L.; Ion, P. D. F. 3 1981 Quantum mechanics in mathematics, chemistry, and physics. (Proceedings of a Special Session in Mathematical Physics organized as a part of the 774th Meeting of the American Mathematical Society, held March 27-29, 1980, in Boulder, Colorado). Zbl 0489.46053 1 1981 Translation-invariant integrals, and Fourier analysis on Clifford and Grassmann algebras. Zbl 0434.43007Hudson, R. L.; Wilkinson, M. D.; Peck, S. N. 6 1980 The strong Markov property for canonical Wiener processes. Zbl 0424.46048Hudson, R. L. 12 1979 Canonical Fourier transforms. Zbl 0422.43005Hudson, R. L.; Peck, S. N. 1 1979 A noncommutative probability theory. Zbl 0407.46057Gudder, S. P.; Hudson, R. L. 16 1978 Translation-invariant traces and Fourier analysis on multiplier representation of vector groups. Zbl 0392.43005Hudson, R. L. 2 1978 Quantum mechanical Wiener processes. Zbl 0401.60086Cockroft, A. M.; Hudson, R. L. 32 1977 A quantum-mechanical functional central limit theorem. Zbl 0401.60087Cockroft, A. M.; Gudder, S. P.; Hudson, R. L. 10 1977 Locally normal symmetric states and an analogue of deFinetti’s theorem. Zbl 0304.60001Hudson, R. L.; Moody, G. R. 51 1976 Translation-invariant quantizations and algebraic structures on phase space. Zbl 0362.46050Hudson, R. L. 2 1976 When is the Wigner quasi-probability density non-negative? Zbl 0324.60018Hudson, R. L. 81 1974 A new system of Casimir operators for U(n). Zbl 0281.22020Hudson, R. L. 5 1974 A quantum-mechanical central limit theorem. Zbl 0224.60049Cushen, C. D.; Hudson, R. L. 47 1971 all cited Publications top 5 cited Publications all top 5 Cited by 523 Authors 35 Hudson, Robin Lyth 30 Gough, John E. 25 Accardi, Luigi 22 Lindsay, J. Martin 18 Belavkin, Viacheslav 18 Parthasarathy, Kalyanapuram Rangachari 15 Ji, Un Cig 14 Ayoola, Ezekiel O. 14 James, Matthew R. 14 Petersen, Ian Richard 13 Applebaum, David B. 12 Lu, Yun Gang 12 Schürmann, Michael 12 Wang, Caishi 10 Inoue, Atsushi 10 Nurdin, Hendra Ishwara 9 Sinha, Kalyan B. 8 Barnett, Chris 8 Obata, Nobuaki 8 Speicher, Roland 8 Wilde, Ivan Francis 7 Barchielli, Alberto 7 Fannes, Mark 7 Zhang, Guofeng 6 Attal, Stéphane 6 de Gosson, Maurice Alexis 6 Ekhaguere, G. O. S. 6 Huang, Zhiyuan 6 Rougerie, Nicolas 5 Belton, Alexander C. R. 5 Fagnola, Franco 5 Frigerio, Alberto 5 Kolokoltsov, Vassili N. 5 Lenczewski, Romuald 5 Lewin, Mathieu 5 Phan Thành Nam 5 Pulmannová, Sylvia 5 Quaegebeur, Johan 5 Vladimirov, Igor G. 4 Alicki, Robert 4 Bishop, Sheila Amina 4 Bouten, Luc 4 Crismale, Vitonofrio 4 Hennings, Mark A. 4 Ogundiran, Michael Oluniyi 4 Pan, Yu 4 Pautrat, Yan 4 Renner, Renato 4 Sahu, Lingaraj 4 Skeide, Michael 4 Streater, Raymond F. 4 Struleckaja, V. R. 4 Werner, Reinhard F. 4 Wills, Stephen J. 3 Amini, Nina H. 3 Ayed, Wided 3 Ben Ghorbal, Anis 3 Bhat, B. V. Rajarama 3 Brandão, Fernando G. S. L. 3 Chebotarev, Alexandr M. 3 Chen, Thomas M. 3 Christandl, Matthias 3 De Roeck, Wojciech 3 Dias, Nuno Costa 3 Dong, Daoyi 3 Goswami, Debashish 3 Gregoratti, Matteo 3 Gross, David Jonathan 3 Gudder, Stanley P. 3 Kholevo, Aleksandr Semënovich 3 Inozemtseva, Natalia G. 3 Kang, Yuanbao 3 König, Robert 3 Kümmerer, Burkhard 3 Kupsch, Joachim 3 Lytvynov, Eugene W. 3 Ma, Pengcheng 3 Ouerdiane, Habib 3 Pavlović, Nataša 3 Perepelkin, Evgeny E. 3 Pillet, Claude-Alain 3 Prata, João Nuno 3 Sadovnikov, B. I. 3 Schack, Rüdiger 3 Smolyanov, Oleg Georgievich 3 Sohinger, Vedran 3 Takakura, Mayumi 3 van Handel, Ramon 3 Verbeure, André F. 3 Wang, Xiangjun 2 Adeyeye, John Ola-Oluwa 2 Akinwumi, Titilayo O. 2 Amini, Hadis 2 Asai, Nobuhiro 2 Bañuls, Mari Carmen 2 Bardet, Ivan 2 Biane, Philippe 2 Boukas, Andreas 2 Bozejko, Marek 2 Bruneau, Laurent ...and 423 more Authors all top 5 Cited in 130 Serials 84 Journal of Mathematical Physics 52 Infinite Dimensional Analysis, Quantum Probability and Related Topics 45 Communications in Mathematical Physics 37 Journal of Functional Analysis 19 International Journal of Theoretical Physics 17 Letters in Mathematical Physics 15 Publications of the Research Institute for Mathematical Sciences, Kyoto University 15 Probability Theory and Related Fields 14 New Journal of Physics 13 Stochastic Analysis and Applications 12 Journal of Statistical Physics 11 Journal of Mathematical Analysis and Applications 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Automatica 10 Quantum Information Processing 8 Reviews in Mathematical Physics 8 Annales de l’Institut Henri Poincaré. Physique Théorique 7 Mathematical Notes 7 SIAM Journal on Control and Optimization 7 Transactions of the American Mathematical Society 7 Acta Applicandae Mathematicae 7 Russian Journal of Mathematical Physics 6 Open Systems & Information Dynamics 6 Foundations of Physics 5 Reports on Mathematical Physics 5 Journal of Theoretical Probability 5 Journal of Mathematical Sciences (New York) 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Theoretical and Mathematical Physics 4 Journal of Multivariate Analysis 4 Mathematische Zeitschrift 4 Annales Henri Poincaré 3 Physics Reports 3 Archiv der Mathematik 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Applied Analysis 3 Journal of Statistical Mechanics: Theory and Experiment 3 Stochastics 3 Physical Review A, Third Series 3 Analysis and Mathematical Physics 2 International Journal of Modern Physics A 2 Archive for Rational Mechanics and Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Physica A 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Fortschritte der Physik 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Soviet Mathematics 2 Mathematica Slovaca 2 Nagoya Mathematical Journal 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Systems & Control Letters 2 Acta Mathematica Hungarica 2 Communications in Partial Differential Equations 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Random Operators and Stochastic Equations 2 Doklady Mathematics 2 Journal of High Energy Physics 2 Journal of Modern Optics 2 Quanta 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Kybernetika 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Journal of Time Series Analysis 1 Probability and Mathematical Statistics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the Nigerian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Journal of Applied Mathematics and Stochastic Analysis 1 The Annals of Applied Probability 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Expositiones Mathematicae 1 Acta Mathematica Sinica. New Series 1 Stochastics and Stochastics Reports 1 Continuum Mechanics and Thermodynamics 1 Annales Mathématiques Blaise Pascal 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Mathematical Physics, Analysis and Geometry 1 Positivity ...and 30 more Serials all top 5 Cited in 47 Fields 454 Quantum theory (81-XX) 302 Probability theory and stochastic processes (60-XX) 201 Functional analysis (46-XX) 76 Operator theory (47-XX) 58 Statistical mechanics, structure of matter (82-XX) 39 Partial differential equations (35-XX) 37 Systems theory; control (93-XX) 18 Information and communication theory, circuits (94-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 Topological groups, Lie groups (22-XX) 14 Global analysis, analysis on manifolds (58-XX) 11 Abstract harmonic analysis (43-XX) 11 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 9 Associative rings and algebras (16-XX) 9 Nonassociative rings and algebras (17-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Statistics (62-XX) 8 Optics, electromagnetic theory (78-XX) 7 Combinatorics (05-XX) 7 Differential geometry (53-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Group theory and generalizations (20-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 5 Relativity and gravitational theory (83-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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