Edit Profile (opens in new tab) Fagnola, Franco Co-Author Distance Author ID: fagnola.franco Published as: Fagnola, Franco; Fagnola, F.; Fágnola, Franco more...less Documents Indexed: 109 Publications since 1986 2 Contributions as Editor Reviewing Activity: 68 Reviews Co-Authors: 43 Co-Authors with 88 Joint Publications 715 Co-Co-Authors all top 5 Co-Authors 21 single-authored 19 Rebolledo Berroeta, Rolando 10 Umanità, Veronica 7 Accardi, Luigi 6 Carbone, Raffaella 5 Agredo, Julián 5 Hachicha, Skander 5 Mora, Carlos M. 5 Poletti, Damiano 4 Chebotarev, Alexandr M. 4 Dhahri, Ameur 4 Quezada, Roberto B. 4 Sasso, Emanuela 3 Bhat, B. V. Rajarama 3 Sinha, Kalyan B. 2 Ben Ghorbal, Anis 2 Letta, Giorgio 2 Saavedra, Carlos E. 2 Skeide, Michael 2 Wills, Stephen J. 2 Yoo, Hyun Jae 1 Arnold, Anton 1 Bessadok, Khadija 1 Bolaños-Servin, Jorge R. 1 Cipriani, Fabio 1 Comman, Henri 1 Deschamps, Julien 1 García, Julio César 1 Gough, John E. 1 Gregoratti, Matteo 1 Ko, Chul Ki 1 Kumar, Dharmendra 1 Lindsay, J. Martin 1 Lu, Yun Gang 1 Martínez, L. Pantaleoń 1 Monte, Roberto 1 Nurdin, Hendra Ishwara 1 Ouerdiane, Habib 1 Pantaleón-Martínez, Leopoldo 1 Pellicer, Rely 1 Quaegebeur, Johan 1 Röckner, Michael 1 Srivastava, Sachi 1 Viola, Lorenza all top 5 Serials 12 Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 Open Systems & Information Dynamics 6 Journal of Mathematical Physics 4 Mathematical Notes 4 Journal of Functional Analysis 4 Probability Theory and Related Fields 3 Communications in Mathematical Physics 3 Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matemàtica. Serie V 3 Communications on Stochastic Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Stochastics 2 QP–PQ: Quantum Probability and White Noise Analysis 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of the London Mathematical Society. Second Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Sankhyā. Series A. Methods and Techniques 1 Journal of Operator Theory 1 Rivista di Matemàtica Pura ed Applicata 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Russian Journal of Mathematical Physics 1 Electronic Communications in Probability 1 Annales Henri Poincaré 1 Milan Journal of Mathematics 1 Cubo 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proyecciones 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis and Mathematical Physics all top 5 Fields 85 Quantum theory (81-XX) 62 Probability theory and stochastic processes (60-XX) 55 Functional analysis (46-XX) 48 Operator theory (47-XX) 29 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 725 times in 308 Documents Cited by ▼ Year ▼ Sufficient conditions for conservativity of minimal quantum dynamical semigroups. Zbl 0914.47040Chebotarev, A. M.; Fagnola, F. 58 1998 Quantum Markov semigroups and quantum flows. Zbl 1255.81185Fagnola, Franco 49 1999 Subharmonic projections for a quantum Markov semigroup. Zbl 1059.47049Fagnola, Franco; Rebolledo, Rolando 32 2002 Generators of detailed balance quantum Markov semigroups. Zbl 1148.46036Fagnola, Franco; Umanita, Veronica 28 2007 On the existence of stationary states for quantum dynamical semigroups. Zbl 1013.81031Fagnola, Franco; Rebolledo, Rolando 27 2001 Transience and recurrence of quantum Markov semigroups. Zbl 1024.60031Fagnola, Franco; Rebolledo, Rolando 25 2003 Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055Accardi, Luigi; Fagnola, Franco; Hachicha, Skander 24 2006 The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator. Zbl 1209.46041Dhahri, Ameur; Fagnola, Franco; Rebolledo, Rolando 24 2010 Sufficient conditions for conservativity of quantum dynamical semigroups. Zbl 0801.46083Chebotarev, Alexandr M.; Fagnola, Franco 21 1993 A representation free quantum stochastic calculus. Zbl 0759.60068Accardi, Luigi; Fagnola, F.; Quaegebeur, J. 20 1992 Structure of uniformly continuous quantum Markov semigroups. Zbl 1341.82048Deschamps, Julien; Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica 20 2016 On quantum stochastic differential equations with unbounded coefficients. Zbl 0685.60058Fagnola, Franco 19 1990 Generators of KMS symmetric Markov semigroups on \({\mathcal B}(\mathsf{h})\): symmetry and quantum detailed balance. (Generators of KMS symmetric Markov semigroups on \({\mathcal B}(\mathsf{h})\) symmetry and quantum detailed balance.) Zbl 1209.46044Fagnola, Franco; Umanità, Veronica 19 2010 Solving quantum stochastic differential equations with unbounded coefficients. Zbl 1019.81028Fagnola, Franco; Wills, Stephen J. 18 2003 Exponential \(L_2\)-convergence of quantum Markov semigroups on \({\mathcal B}(h)\). Zbl 1015.47026Carbone, R.; Fagnola, F. 18 2000 Algebraic conditions for convergence of a quantum Markov semigroup to a steady state. Zbl 1165.46035Fagnola, Franco; Rebolledo, Rolando 18 2008 Generic quantum Markov semigroups: the Gaussian gauge invariant case. Zbl 1137.81025Carbone, Raffaella; Fagnola, Franco; Hachicha, Skander 17 2007 Two-photon absorption and emission process. Zbl 1095.46041Fagnola, Franco; Quezada, Roberto 17 2005 Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups. Zbl 0961.47026Cipriani, Fabio; Fagnola, Franco; Lindsay, J. Martin 17 2000 Entropy production for quantum Markov semigroups. Zbl 1316.81067Fagnola, Franco; Rebolledo, Rolando 16 2015 On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020Accardi, Luigi; Fagnola, Franco; Quezada, Roberto 14 2016 The approach to equilibrium of a class of quantum dynamical semigroups. Zbl 0923.46073Fagnola, Franco; Rebolledo, Rolando 14 1998 Notes on the qualitative behaviour of quantum Markov semigroups. Zbl 1158.81014Fagnola, Franco; Rebolledo, Rolando 14 2006 Irreducible and periodic positive maps. Zbl 1331.46052Fagnola, Franco; Pellicer, Rely 13 2009 Stochastic Schrödinger equations and applications to Ehrenfest-type theorems. Zbl 1277.60108Fagnola, F.; Mora, C. M. 10 2013 Generic quantum Markov semigroups, cycle decomposition and deviation from equilibrium. Zbl 1257.82067Fagnola, Franco; Umanità, Veronica 8 2012 On quantum stochastic integration with respect to “free” noises. Zbl 0953.60527Fagnola, Franco 7 1991 Quantum Fokker-Planck models: the Lindblad and Wigner approaches. Zbl 1180.81089Arnold, A.; Fagnola, F.; Neumann, L. 7 2008 Structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra. Zbl 1377.81083Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica 7 2017 Decoherence free subspaces of a quantum Markov semigroup. Zbl 1308.81118Agredo, Julián; Fagnola, Franco; Rebolledo, Rolando 7 2014 Gaussian quantum Markov semigroups on a one-mode Fock space: irreducibility and normal invariant states. Zbl 1480.81071Agredo, J.; Fagnola, F.; Poletti, D. 6 2021 Detailed balance, time reversal, and generators of quantum Markov semigroups. Zbl 1221.47080Fagnola, Franco; Umanità, Veronica 6 2008 Some results on invariant states for quantum Markov semigroups. Zbl 1009.60090Fagnola, Franco; Rebolledo, Rolando 6 2002 On quantum extensions of semigroups of Brownian motion on a half-line. Zbl 0904.46048Bhat, B. V. Rajarama; Fagnola, Franco; Sinha, Kalyan B. 6 1996 Spectral properties of the two-photon absorption and emission process. Zbl 1153.81331Carbone, R.; Fagnola, F.; García, J. C.; Quezada, R. 6 2008 Quantum stochastic differential equations and dilation of completely positive semigroups. Zbl 1133.81041Fagnola, Franco 6 2006 From classical to quantum entropy production. Zbl 1220.81151Fagnola, F.; Rebolledo, R. 5 2010 Quantum flows associated to master equations in quantum optics. Zbl 0797.60052Fagnola, Franco; Rebolledo, Rolando; Saavedra, Carlos 5 1994 Quantum Markov semigroups and their stationary states. Zbl 1143.81309Fagnola, Franco; Rebolledo, Rolando 5 2003 Entropy production and detailed balance for a class of quantum Markov semigroups. Zbl 1329.81250Fagnola, F.; Rebolledo, R. 4 2015 Quantum stochastic differential equations. Zbl 1087.81033Fagnola, Franco 4 2003 Maximal commutative subalgebras invariant for CP-maps: (counter-)examples. Zbl 1171.46044Bhat, B. V. Rajarama; Fagnola, Franco; Skeide, Michael 4 2008 On quantum versions of the classical Wasserstein distance. Zbl 1395.81141Agredo, J.; Fagnola, Franco 4 2017 The role of the atomic decoherence-free subalgebra in the study of quantum Markov semigroups. Zbl 1416.81096Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica 4 2019 Decomposition and classification of generic quantum Markov semigroups: the Gaussian gauge invariant case. Zbl 1257.81046Fagnola, Franco; Hachicha, Skander 3 2012 Free noise dilation of semigroups of countable state Markov processes. Zbl 0789.47026Fagnola, F.; Mancino, M. 3 1992 Quantum flows with unbounded structure maps and finite degrees of freedom. Zbl 0791.60053Fagnola, F.; Sinha, Kalyan B. 3 1993 A simple singular quantum Markov semigroup. Zbl 0964.60090Fagnola, Franco 3 2000 Quantum extensions of semigroups generated by Bessel processes. Zbl 0897.46053Fagnola, F.; Monte, R. 3 1996 Stochastic integration. Zbl 0659.46055Accardi, Luigi; Fagnola, Franco 3 1988 A Lévy theorem for free noises. Zbl 0729.60074Fagnola, Franco 3 1991 A martingale characterization of quantum Poisson processes. Zbl 0694.60045Fagnola, Franco 3 1990 The decoherence-free subalgebra of Gaussian quantum Markov semigroups. Zbl 07550236Agredo, Julián; Fagnola, Franco; Poletti, Damiano 3 2022 Classical and quantum Markov processes associated with \(q\)-Bessel operators. Zbl 1453.81045Bessadok, Khadija; Fagnola, Franco; Hachicha, Skander 3 2020 A characterization of quantum Markov semigroups of weak coupling limit type. Zbl 1458.47020Fagnola, Franco; Quezada, Roberto 3 2019 Basic properties of a mean field laser equation. Zbl 1496.81073Fagnola, Franco; Mora, Carlos M. 2 2019 Restrictions of CP-semigroups to maximal commutative subalgebras. Zbl 1140.46325Fagnola, Franco; Skeide, Michael 2 2008 The approach to equilibrium by means of quantum flows. (Sur l’approche de l’équilibre au moyen des flots quantiques.) Zbl 0842.58040Fagnola, Franco; Rebolledo, Rolando 2 1995 Towards a stochastic Stone’s theorem. Zbl 0789.60054Chebotarev, A. M.; Fagnola, F.; Frigerio, A. 2 1992 Unitarity of solutions to quantum stochastic differential equations and conservativity of the associated semigroups. Zbl 0789.47027Fagnola, Franco 2 1992 Mild solutions of quantum stochastic differential equations. Zbl 0967.60064Fagnola, Franco; Wills, Stephen J. 2 2000 On minimality of Evans-Hudson flows. Zbl 0909.60090Bhat, B. V. Rajarama; Fagnola, F. 2 1997 Are sufficient conditions for conservativity of minimal quantum semigroups necessary? Zbl 1286.81127Fagnola, F.; Martínez, L. Pantaleoń 2 2012 Quadratic open quantum harmonic oscillator. Zbl 1459.47017Dhahri, Ameur; Fagnola, Franco; Yoo, Hyun Jae 2 2020 The Kossakowski matrix and strict positivity of Markovian quantum dynamics. Zbl 1516.81114Agredo, Julián; Fagnola, Franco; Poletti, Damiano 1 2022 Mathematical models of Markovian dephasing. Zbl 1504.81096Fagnola, Franco; Gough, John E.; Nurdin, Hendra I.; Viola, Lorenza 1 2019 Pure birth and pure death processes as quantum flows in Fock space. Zbl 0776.46028Fágnola, Franco 1 1991 A quantum Laguerre semigroup. Zbl 1491.46066Fagnola, Franco; Kumar, Dharmendra; Srivastava, Sachi 1 2021 On the relationship between a quantum Markov semigroup and its representation via linear stochastic Schrödinger equations. Zbl 1351.47032Fagnola, Franco; Mora, Carlos 1 2015 On the range of the generator of a quantum Markov semigroup. Zbl 1335.81089Bolaños-Servin, Jorge R.; Fagnola, Franco 1 2015 The Feller property of a class of quantum Markov semigroups. II. Zbl 1053.46044Carbone, Raffaella; Fagnola, Franco 1 2003 H-P quantum stochastic differential equations. Zbl 1046.81067Fagnola, Franco 1 2002 Scattering theory for unitary cocycles. Zbl 0844.60098Fagnola, F.; Sinha, Kalyan B. 1 1993 Extending flows of classical Markov processes to quantum flows in Fock space. Zbl 1044.81649Fagnola, F. 1 1998 Quantum stochastic differential equations and Feynman-Kac perturbation of quantum evolution. Zbl 0953.60530Fagnola, Franco 1 1991 Reduction of noise by squeezed vacuum. Zbl 0940.81052Fagnola, Franco; Rebolledo, Rolando; Saavedra, Carlos 1 1998 Sur la représentation intégrale des martingales d’un processus de comptage. (On the integral representation of martingales of a counting process). Zbl 0615.60045Fagnola, Franco; Letta, Giorgio 1 1986 Quantum stochastic calculus and a Boson Lévy theorem. Zbl 0705.60100Fagnola, F. 1 1990 Supercritical Poincaré-Andronov-Hopf bifurcation in a mean-field quantum laser equation. Zbl 1471.37068Fagnola, F.; Mora, C. M. 1 2021 The decoherence-free subalgebra of Gaussian quantum Markov semigroups. Zbl 07550236Agredo, Julián; Fagnola, Franco; Poletti, Damiano 3 2022 The Kossakowski matrix and strict positivity of Markovian quantum dynamics. Zbl 1516.81114Agredo, Julián; Fagnola, Franco; Poletti, Damiano 1 2022 Gaussian quantum Markov semigroups on a one-mode Fock space: irreducibility and normal invariant states. Zbl 1480.81071Agredo, J.; Fagnola, F.; Poletti, D. 6 2021 A quantum Laguerre semigroup. Zbl 1491.46066Fagnola, Franco; Kumar, Dharmendra; Srivastava, Sachi 1 2021 Supercritical Poincaré-Andronov-Hopf bifurcation in a mean-field quantum laser equation. Zbl 1471.37068Fagnola, F.; Mora, C. M. 1 2021 Classical and quantum Markov processes associated with \(q\)-Bessel operators. Zbl 1453.81045Bessadok, Khadija; Fagnola, Franco; Hachicha, Skander 3 2020 Quadratic open quantum harmonic oscillator. Zbl 1459.47017Dhahri, Ameur; Fagnola, Franco; Yoo, Hyun Jae 2 2020 The role of the atomic decoherence-free subalgebra in the study of quantum Markov semigroups. Zbl 1416.81096Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica 4 2019 A characterization of quantum Markov semigroups of weak coupling limit type. Zbl 1458.47020Fagnola, Franco; Quezada, Roberto 3 2019 Basic properties of a mean field laser equation. Zbl 1496.81073Fagnola, Franco; Mora, Carlos M. 2 2019 Mathematical models of Markovian dephasing. Zbl 1504.81096Fagnola, Franco; Gough, John E.; Nurdin, Hendra I.; Viola, Lorenza 1 2019 Structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra. Zbl 1377.81083Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica 7 2017 On quantum versions of the classical Wasserstein distance. Zbl 1395.81141Agredo, J.; Fagnola, Franco 4 2017 Structure of uniformly continuous quantum Markov semigroups. Zbl 1341.82048Deschamps, Julien; Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica 20 2016 On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020Accardi, Luigi; Fagnola, Franco; Quezada, Roberto 14 2016 Entropy production for quantum Markov semigroups. Zbl 1316.81067Fagnola, Franco; Rebolledo, Rolando 16 2015 Entropy production and detailed balance for a class of quantum Markov semigroups. Zbl 1329.81250Fagnola, F.; Rebolledo, R. 4 2015 On the relationship between a quantum Markov semigroup and its representation via linear stochastic Schrödinger equations. Zbl 1351.47032Fagnola, Franco; Mora, Carlos 1 2015 On the range of the generator of a quantum Markov semigroup. Zbl 1335.81089Bolaños-Servin, Jorge R.; Fagnola, Franco 1 2015 Decoherence free subspaces of a quantum Markov semigroup. Zbl 1308.81118Agredo, Julián; Fagnola, Franco; Rebolledo, Rolando 7 2014 Stochastic Schrödinger equations and applications to Ehrenfest-type theorems. Zbl 1277.60108Fagnola, F.; Mora, C. M. 10 2013 Generic quantum Markov semigroups, cycle decomposition and deviation from equilibrium. Zbl 1257.82067Fagnola, Franco; Umanità, Veronica 8 2012 Decomposition and classification of generic quantum Markov semigroups: the Gaussian gauge invariant case. Zbl 1257.81046Fagnola, Franco; Hachicha, Skander 3 2012 Are sufficient conditions for conservativity of minimal quantum semigroups necessary? Zbl 1286.81127Fagnola, F.; Martínez, L. Pantaleoń 2 2012 The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator. Zbl 1209.46041Dhahri, Ameur; Fagnola, Franco; Rebolledo, Rolando 24 2010 Generators of KMS symmetric Markov semigroups on \({\mathcal B}(\mathsf{h})\): symmetry and quantum detailed balance. (Generators of KMS symmetric Markov semigroups on \({\mathcal B}(\mathsf{h})\) symmetry and quantum detailed balance.) Zbl 1209.46044Fagnola, Franco; Umanità, Veronica 19 2010 From classical to quantum entropy production. Zbl 1220.81151Fagnola, F.; Rebolledo, R. 5 2010 Irreducible and periodic positive maps. Zbl 1331.46052Fagnola, Franco; Pellicer, Rely 13 2009 Algebraic conditions for convergence of a quantum Markov semigroup to a steady state. Zbl 1165.46035Fagnola, Franco; Rebolledo, Rolando 18 2008 Quantum Fokker-Planck models: the Lindblad and Wigner approaches. Zbl 1180.81089Arnold, A.; Fagnola, F.; Neumann, L. 7 2008 Detailed balance, time reversal, and generators of quantum Markov semigroups. Zbl 1221.47080Fagnola, Franco; Umanità, Veronica 6 2008 Spectral properties of the two-photon absorption and emission process. Zbl 1153.81331Carbone, R.; Fagnola, F.; García, J. C.; Quezada, R. 6 2008 Maximal commutative subalgebras invariant for CP-maps: (counter-)examples. Zbl 1171.46044Bhat, B. V. Rajarama; Fagnola, Franco; Skeide, Michael 4 2008 Restrictions of CP-semigroups to maximal commutative subalgebras. Zbl 1140.46325Fagnola, Franco; Skeide, Michael 2 2008 Generators of detailed balance quantum Markov semigroups. Zbl 1148.46036Fagnola, Franco; Umanita, Veronica 28 2007 Generic quantum Markov semigroups: the Gaussian gauge invariant case. Zbl 1137.81025Carbone, Raffaella; Fagnola, Franco; Hachicha, Skander 17 2007 Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055Accardi, Luigi; Fagnola, Franco; Hachicha, Skander 24 2006 Notes on the qualitative behaviour of quantum Markov semigroups. Zbl 1158.81014Fagnola, Franco; Rebolledo, Rolando 14 2006 Quantum stochastic differential equations and dilation of completely positive semigroups. Zbl 1133.81041Fagnola, Franco 6 2006 Two-photon absorption and emission process. Zbl 1095.46041Fagnola, Franco; Quezada, Roberto 17 2005 Transience and recurrence of quantum Markov semigroups. Zbl 1024.60031Fagnola, Franco; Rebolledo, Rolando 25 2003 Solving quantum stochastic differential equations with unbounded coefficients. Zbl 1019.81028Fagnola, Franco; Wills, Stephen J. 18 2003 Quantum Markov semigroups and their stationary states. Zbl 1143.81309Fagnola, Franco; Rebolledo, Rolando 5 2003 Quantum stochastic differential equations. Zbl 1087.81033Fagnola, Franco 4 2003 The Feller property of a class of quantum Markov semigroups. II. Zbl 1053.46044Carbone, Raffaella; Fagnola, Franco 1 2003 Subharmonic projections for a quantum Markov semigroup. Zbl 1059.47049Fagnola, Franco; Rebolledo, Rolando 32 2002 Some results on invariant states for quantum Markov semigroups. Zbl 1009.60090Fagnola, Franco; Rebolledo, Rolando 6 2002 H-P quantum stochastic differential equations. Zbl 1046.81067Fagnola, Franco 1 2002 On the existence of stationary states for quantum dynamical semigroups. Zbl 1013.81031Fagnola, Franco; Rebolledo, Rolando 27 2001 Exponential \(L_2\)-convergence of quantum Markov semigroups on \({\mathcal B}(h)\). Zbl 1015.47026Carbone, R.; Fagnola, F. 18 2000 Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups. Zbl 0961.47026Cipriani, Fabio; Fagnola, Franco; Lindsay, J. Martin 17 2000 A simple singular quantum Markov semigroup. Zbl 0964.60090Fagnola, Franco 3 2000 Mild solutions of quantum stochastic differential equations. Zbl 0967.60064Fagnola, Franco; Wills, Stephen J. 2 2000 Quantum Markov semigroups and quantum flows. Zbl 1255.81185Fagnola, Franco 49 1999 Sufficient conditions for conservativity of minimal quantum dynamical semigroups. Zbl 0914.47040Chebotarev, A. M.; Fagnola, F. 58 1998 The approach to equilibrium of a class of quantum dynamical semigroups. Zbl 0923.46073Fagnola, Franco; Rebolledo, Rolando 14 1998 Extending flows of classical Markov processes to quantum flows in Fock space. Zbl 1044.81649Fagnola, F. 1 1998 Reduction of noise by squeezed vacuum. Zbl 0940.81052Fagnola, Franco; Rebolledo, Rolando; Saavedra, Carlos 1 1998 On minimality of Evans-Hudson flows. Zbl 0909.60090Bhat, B. V. Rajarama; Fagnola, F. 2 1997 On quantum extensions of semigroups of Brownian motion on a half-line. Zbl 0904.46048Bhat, B. V. Rajarama; Fagnola, Franco; Sinha, Kalyan B. 6 1996 Quantum extensions of semigroups generated by Bessel processes. Zbl 0897.46053Fagnola, F.; Monte, R. 3 1996 The approach to equilibrium by means of quantum flows. (Sur l’approche de l’équilibre au moyen des flots quantiques.) Zbl 0842.58040Fagnola, Franco; Rebolledo, Rolando 2 1995 Quantum flows associated to master equations in quantum optics. Zbl 0797.60052Fagnola, Franco; Rebolledo, Rolando; Saavedra, Carlos 5 1994 Sufficient conditions for conservativity of quantum dynamical semigroups. Zbl 0801.46083Chebotarev, Alexandr M.; Fagnola, Franco 21 1993 Quantum flows with unbounded structure maps and finite degrees of freedom. Zbl 0791.60053Fagnola, F.; Sinha, Kalyan B. 3 1993 Scattering theory for unitary cocycles. Zbl 0844.60098Fagnola, F.; Sinha, Kalyan B. 1 1993 A representation free quantum stochastic calculus. Zbl 0759.60068Accardi, Luigi; Fagnola, F.; Quaegebeur, J. 20 1992 Free noise dilation of semigroups of countable state Markov processes. Zbl 0789.47026Fagnola, F.; Mancino, M. 3 1992 Towards a stochastic Stone’s theorem. Zbl 0789.60054Chebotarev, A. M.; Fagnola, F.; Frigerio, A. 2 1992 Unitarity of solutions to quantum stochastic differential equations and conservativity of the associated semigroups. Zbl 0789.47027Fagnola, Franco 2 1992 On quantum stochastic integration with respect to “free” noises. Zbl 0953.60527Fagnola, Franco 7 1991 A Lévy theorem for free noises. Zbl 0729.60074Fagnola, Franco 3 1991 Pure birth and pure death processes as quantum flows in Fock space. Zbl 0776.46028Fágnola, Franco 1 1991 Quantum stochastic differential equations and Feynman-Kac perturbation of quantum evolution. Zbl 0953.60530Fagnola, Franco 1 1991 On quantum stochastic differential equations with unbounded coefficients. Zbl 0685.60058Fagnola, Franco 19 1990 A martingale characterization of quantum Poisson processes. Zbl 0694.60045Fagnola, Franco 3 1990 Quantum stochastic calculus and a Boson Lévy theorem. Zbl 0705.60100Fagnola, F. 1 1990 Stochastic integration. Zbl 0659.46055Accardi, Luigi; Fagnola, Franco 3 1988 Sur la représentation intégrale des martingales d’un processus de comptage. (On the integral representation of martingales of a counting process). Zbl 0615.60045Fagnola, Franco; Letta, Giorgio 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 268 Authors 45 Fagnola, Franco 24 Accardi, Luigi 19 Carbone, Raffaella 16 Umanità, Veronica 14 Rebolledo Berroeta, Rolando 13 Mukhamedov, Farruh Maksutovich 12 Sasso, Emanuela 11 Quezada, Roberto B. 9 Mora, Carlos M. 8 Ko, Chul Ki 7 Agredo, Julián 7 Gough, John E. 7 Park, Yong Moon 7 Pautrat, Yan 7 Wang, Caishi 6 Dhahri, Ameur 6 Lu, Yun Gang 6 Poletti, Damiano 5 Bardet, Ivan 5 Chebotarev, Alexandr M. 5 Duvenhage, Rocco 5 García, Julio César 5 Hachicha, Skander 5 Joye, Alain 5 Lindsay, J. Martin 5 Skeide, Michael 5 Wills, Stephen J. 4 Androulakis, George 4 Arnold, Anton 4 Ayed, Wided 4 Bahn, Changsoo 4 Belton, Alexander C. R. 4 Bolaños-Servin, Jorge R. 4 Chen, Jinshu 4 Kholevo, Aleksandr Semënovich 4 Kang, Yuanbao 4 Nurdin, Hendra Ishwara 4 Sinha, Kalyan B. 4 Teretenkov, Alexander E. 4 Yoo, Hyun Jae 3 Bhat, B. V. Rajarama 3 Bruneau, Laurent 3 Carlen, Eric Anders 3 Cipriani, Fabio 3 Clark, Jeremy Thane 3 Emzir, Muhammad Fuady 3 Fidaleo, Francesco 3 Girotti, Federico 3 Hudson, Robin Lyth 3 James, Matthew R. 3 Kumar, Dharmendra 3 Ouerdiane, Habib 3 Petersen, Ian Richard 3 Quaegebeur, Johan 3 Röckner, Michael 3 Srivastava, Sachi 3 van Handel, Ramon 3 Woolley, Matthew James 3 Zagrebnov, Valentin A. 3 Zhang, Deng 3 Ziemke, Matthew 2 Al-Rawashdeh, Ahmad Saleh 2 Applebaum, David B. 2 Attal, Stéphane 2 Barbu, Viorel 2 Barchielli, Alberto 2 Baumgartner, Bernhard 2 Becker, Simon 2 Bougron, Jean-François 2 Boukas, Andreas 2 Bouten, Luc 2 Chang, Mouhsiung 2 Cruz-de la Rosa, Marco A. 2 Datta, Nilanjana 2 Erkurşun Özcan, Nazife 2 Gnacik, Michał 2 Guan, Ji 2 Guerrero-Poblete, Fernando 2 Hanson, Eric Patrick 2 Horowitz, Jordan M. 2 Kachanovsky, Nikolai A. 2 Kolokoltsov, Vassili N. 2 Kozyrev, Sergeĭ Vladimirovich 2 Labuschagne, Louis E. 2 Lardizabal, Carlos F. 2 López, José Luis 2 Maas, Jan 2 Majewski, Wladyslaw Adam 2 Mohari, Anilesh 2 Mokhtar-Kharroubi, Mustapha 2 Ogundiran, Michael Oluniyi 2 Parthasarathy, Kalyanapuram Rangachari 2 Pillet, Claude-Alain 2 Raquépas, Renaud 2 Ren, Suling 2 Rouzé, Cambyse 2 Santis, Ricardo Castro 2 Soler, Juan S. 2 Sparber, Christof 2 Tang, Yuling ...and 168 more Authors all top 5 Cited in 85 Serials 47 Infinite Dimensional Analysis, Quantum Probability and Related Topics 28 Journal of Mathematical Physics 19 Annales Henri Poincaré 17 Journal of Statistical Physics 16 Journal of Functional Analysis 13 Mathematical Notes 13 Open Systems & Information Dynamics 12 Communications in Mathematical Physics 10 Reviews in Mathematical Physics 7 Journal of Physics A: Mathematical and Theoretical 6 Reports on Mathematical Physics 4 Journal of Mathematical Analysis and Applications 4 Probability Theory and Related Fields 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Quantum Information Processing 3 Indian Journal of Pure & Applied Mathematics 3 Letters in Mathematical Physics 3 Stochastic Analysis and Applications 3 Acta Mathematica Hungarica 3 The Annals of Applied Probability 3 Linear Algebra and its Applications 3 Stochastics 2 Automatica 2 Semigroup Forum 2 Journal of Theoretical Probability 2 Random Operators and Stochastic Equations 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Lobachevskii Journal of Mathematics 2 Stochastics and Dynamics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Banach Journal of Mathematical Analysis 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 1 Communications in Algebra 1 International Journal of Theoretical Physics 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Dissertationes Mathematicae 1 Integral Equations and Operator Theory 1 Journal of Computer and System Sciences 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 SIAM Journal on Computing 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of the Nigerian Mathematical Society 1 Revista Matemática Iberoamericana 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Nonlinear Science 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Mathematical Physics, Analysis and Geometry 1 Positivity 1 Soft Computing 1 Fractional Calculus & Applied Analysis 1 New Journal of Physics 1 Statistical Inference for Stochastic Processes 1 Stochastic Models 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Cubo 1 Proyecciones 1 Journal of Mathematical Inequalities 1 Bulletin of Mathematical Sciences 1 Dynamic Games and Applications 1 Quanta 1 Carpathian Mathematical Publications 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications all top 5 Cited in 36 Fields 214 Quantum theory (81-XX) 139 Functional analysis (46-XX) 123 Operator theory (47-XX) 118 Probability theory and stochastic processes (60-XX) 79 Statistical mechanics, structure of matter (82-XX) 19 Partial differential equations (35-XX) 17 Dynamical systems and ergodic theory (37-XX) 9 Measure and integration (28-XX) 6 Ordinary differential equations (34-XX) 6 Information and communication theory, circuits (94-XX) 5 Group theory and generalizations (20-XX) 5 Systems theory; control (93-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Statistics (62-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year