## Fagnola, Franco

Compute Distance To:
 Author ID: fagnola.franco Published as: Fagnola, Franco; Fagnola, F.; Fágnola, Franco more...less
 Documents Indexed: 104 Publications since 1986 2 Contributions as Editor Reviewing Activity: 63 Reviews Co-Authors: 40 Co-Authors with 83 Joint Publications 606 Co-Co-Authors
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### Co-Authors

 21 single-authored 19 Rebolledo Berroeta, Rolando 10 Umanità, Veronica 7 Accardi, Luigi 6 Carbone, Raffaella 5 Hachicha, Skander 4 Agredo, Julián 4 Chebotarev, Alexandr M. 4 Mora, Carlos M. 4 Quezada, Roberto B. 4 Sasso, Emanuela 3 Bhat, B. V. Rajarama 3 Dhahri, Ameur 3 Poletti, Damiano 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 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 Ouerdiane, Habib 1 Pantaleón-Martínez, Leopoldo 1 Pellicer, Rely 1 Quaegebeur, Johan 1 Röckner, Michael 1 Srivastava, Sachi
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### Serials

 11 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 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
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### Fields

 79 Quantum theory (81-XX) 60 Probability theory and stochastic processes (60-XX) 52 Functional analysis (46-XX) 45 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 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 Partial differential equations (35-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)

### Citations contained in zbMATH Open

73 Publications have been cited 593 times in 261 Documents Cited by Year
Sufficient conditions for conservativity of minimal quantum dynamical semigroups. Zbl 0914.47040
Chebotarev, A. M.; Fagnola, F.
1998
Quantum Markov semigroups and quantum flows. Zbl 1255.81185
Fagnola, Franco
1999
Subharmonic projections for a quantum Markov semigroup. Zbl 1059.47049
Fagnola, Franco; Rebolledo, Rolando
2002
Generators of detailed balance quantum Markov semigroups. Zbl 1148.46036
Fagnola, Franco; Umanita, Veronica
2007
On the existence of stationary states for quantum dynamical semigroups. Zbl 1013.81031
Fagnola, Franco; Rebolledo, Rolando
2001
Transience and recurrence of quantum Markov semigroups. Zbl 1024.60031
Fagnola, Franco; Rebolledo, Rolando
2003
Generic $$q$$-Markov semigroups and speed of convergence of $$q$$-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
2006
Sufficient conditions for conservativity of quantum dynamical semigroups. Zbl 0801.46083
Chebotarev, Alexandr M.; Fagnola, Franco
1993
A representation free quantum stochastic calculus. Zbl 0759.60068
Accardi, Luigi; Fagnola, F.; Quaegebeur, J.
1992
The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator. Zbl 1209.46041
Dhahri, Ameur; Fagnola, Franco; Rebolledo, Rolando
2010
On quantum stochastic differential equations with unbounded coefficients. Zbl 0685.60058
Fagnola, Franco
1990
Solving quantum stochastic differential equations with unbounded coefficients. Zbl 1019.81028
Fagnola, Franco; Wills, Stephen J.
2003
Two-photon absorption and emission process. Zbl 1095.46041
2005
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 1209.46044
Fagnola, Franco; Umanità, Veronica
2010
Exponential $$L_2$$-convergence of quantum Markov semigroups on $${\mathcal B}(h)$$. Zbl 1015.47026
Carbone, R.; Fagnola, F.
2000
Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups. Zbl 0961.47026
Cipriani, Fabio; Fagnola, Franco; Lindsay, J. Martin
2000
Generic quantum Markov semigroups: the Gaussian gauge invariant case. Zbl 1137.81025
Carbone, Raffaella; Fagnola, Franco; Hachicha, Skander
2007
Algebraic conditions for convergence of a quantum Markov semigroup to a steady state. Zbl 1165.46035
Fagnola, Franco; Rebolledo, Rolando
2008
The approach to equilibrium of a class of quantum dynamical semigroups. Zbl 0923.46073
Fagnola, Franco; Rebolledo, Rolando
1998
Entropy production for quantum Markov semigroups. Zbl 1316.81067
Fagnola, Franco; Rebolledo, Rolando
2015
Notes on the qualitative behaviour of quantum Markov semigroups. Zbl 1158.81014
Fagnola, Franco; Rebolledo, Rolando
2006
On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020
Accardi, Luigi; Fagnola, Franco; Quezada, Roberto
2016
Structure of uniformly continuous quantum Markov semigroups. Zbl 1341.82048
Deschamps, Julien; Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica
2016
Irreducible and periodic positive maps. Zbl 1331.46052
Fagnola, Franco; Pellicer, Rely
2009
Generic quantum Markov semigroups, cycle decomposition and deviation from equilibrium. Zbl 1257.82067
Fagnola, Franco; Umanità, Veronica
2012
Stochastic Schrödinger equations and applications to Ehrenfest-type theorems. Zbl 1277.60108
Fagnola, F.; Mora, C. M.
2013
On quantum stochastic integration with respect to “free” noises. Zbl 0953.60527
Fagnola, Franco
1991
On quantum extensions of semigroups of Brownian motion on a half-line. Zbl 0904.46048
Bhat, B. V. Rajarama; Fagnola, Franco; Sinha, Kalyan B.
1996
Detailed balance, time reversal, and generators of quantum Markov semigroups. Zbl 1221.47080
Fagnola, Franco; Umanità, Veronica
2008
Spectral properties of the two-photon absorption and emission process. Zbl 1153.81331
Carbone, R.; Fagnola, F.; García, J. C.; Quezada, R.
2008
Decoherence free subspaces of a quantum Markov semigroup. Zbl 1308.81118
Agredo, Julián; Fagnola, Franco; Rebolledo, Rolando
2014
Some results on invariant states for quantum Markov semigroups. Zbl 1009.60090
Fagnola, Franco; Rebolledo, Rolando
2002
Quantum Fokker-Planck models: the Lindblad and Wigner approaches. Zbl 1180.81089
Arnold, A.; Fagnola, F.; Neumann, L.
2008
From classical to quantum entropy production. Zbl 1220.81151
Fagnola, F.; Rebolledo, R.
2010
Entropy production and detailed balance for a class of quantum Markov semigroups. Zbl 1329.81250
Fagnola, F.; Rebolledo, R.
2015
Quantum flows associated to master equations in quantum optics. Zbl 0797.60052
Fagnola, Franco; Rebolledo, Rolando; Saavedra, Carlos
1994
Quantum stochastic differential equations and dilation of completely positive semigroups. Zbl 1133.81041
Fagnola, Franco
2006
Quantum stochastic differential equations. Zbl 1087.81033
Fagnola, Franco
2003
Decomposition and classification of generic quantum Markov semigroups: the Gaussian gauge invariant case. Zbl 1257.81046
Fagnola, Franco; Hachicha, Skander
2012
A simple singular quantum Markov semigroup. Zbl 0964.60090
Fagnola, Franco
2000
Free noise dilation of semigroups of countable state Markov processes. Zbl 0789.47026
Fagnola, F.; Mancino, M.
1992
Quantum flows with unbounded structure maps and finite degrees of freedom. Zbl 0791.60053
Fagnola, F.; Sinha, Kalyan B.
1993
Quantum Markov semigroups and their stationary states. Zbl 1143.81309
Fagnola, Franco; Rebolledo, Rolando
2003
Maximal commutative subalgebras invariant for CP-maps: (counter-)examples. Zbl 1171.46044
Bhat, B. V. Rajarama; Fagnola, Franco; Skeide, Michael
2008
Stochastic integration. Zbl 0659.46055
Accardi, Luigi; Fagnola, Franco
1988
Fagnola, Franco
1991
A martingale characterization of quantum Poisson processes. Zbl 0694.60045
Fagnola, Franco
1990
Classical and quantum Markov processes associated with $$q$$-Bessel operators. Zbl 1453.81045
2020
Mild solutions of quantum stochastic differential equations. Zbl 0967.60064
Fagnola, Franco; Wills, Stephen J.
2000
Are sufficient conditions for conservativity of minimal quantum semigroups necessary? Zbl 1286.81127
Fagnola, F.; Martínez, L. Pantaleoń
2012
Quantum extensions of semigroups generated by Bessel processes. Zbl 0897.46053
Fagnola, F.; Monte, R.
1996
On minimality of Evans-Hudson flows. Zbl 0909.60090
Bhat, B. V. Rajarama; Fagnola, F.
1997
Towards a stochastic Stone’s theorem. Zbl 0789.60054
Chebotarev, A. M.; Fagnola, F.; Frigerio, A.
1992
Unitarity of solutions to quantum stochastic differential equations and conservativity of the associated semigroups. Zbl 0789.47027
Fagnola, Franco
1992
Gaussian quantum Markov semigroups on a one-mode Fock space: irreducibility and normal invariant states. Zbl 1480.81071
Agredo, J.; Fagnola, F.; Poletti, D.
2021
Structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra. Zbl 1377.81083
Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica
2017
The role of the atomic decoherence-free subalgebra in the study of quantum Markov semigroups. Zbl 1416.81096
Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica
2019
Quadratic open quantum harmonic oscillator. Zbl 1459.47017
Dhahri, Ameur; Fagnola, Franco; Yoo, Hyun Jae
2020
Pure birth and pure death processes as quantum flows in Fock space. Zbl 0776.46028
Fágnola, Franco
1991
On the range of the generator of a quantum Markov semigroup. Zbl 1335.81089
Bolaños-Servin, Jorge R.; Fagnola, Franco
2015
The approach to equilibrium by means of quantum flows. (Sur l’approche de l’équilibre au moyen des flots quantiques.) Zbl 0842.58040
Fagnola, Franco; Rebolledo, Rolando
1995
Extending flows of classical Markov processes to quantum flows in Fock space. Zbl 1044.81649
Fagnola, F.
1998
Quantum stochastic differential equations and Feynman-Kac perturbation of quantum evolution. Zbl 0953.60530
Fagnola, Franco
1991
Reduction of noise by squeezed vacuum. Zbl 0940.81052
Fagnola, Franco; Rebolledo, Rolando; Saavedra, Carlos
1998
Scattering theory for unitary cocycles. Zbl 0844.60098
Fagnola, F.; Sinha, Kalyan B.
1993
Basic properties of a mean field laser equation. Zbl 07177216
Fagnola, Franco; Mora, Carlos M.
2019
H-P quantum stochastic differential equations. Zbl 1046.81067
Fagnola, Franco
2002
Sur la représentation intégrale des martingales d’un processus de comptage. (On the integral representation of martingales of a counting process). Zbl 0615.60045
Fagnola, Franco; Letta, Giorgio
1986
A characterization of quantum Markov semigroups of weak coupling limit type. Zbl 1458.47020
2019
On the relationship between a quantum Markov semigroup and its representation via linear stochastic Schrödinger equations. Zbl 1351.47032
Fagnola, Franco; Mora, Carlos
2015
Quantum stochastic calculus and a Boson Lévy theorem. Zbl 0705.60100
Fagnola, F.
1990
The Feller property of a class of quantum Markov semigroups. II. Zbl 1053.46044
Carbone, Raffaella; Fagnola, Franco
2003
On quantum versions of the classical Wasserstein distance. Zbl 1395.81141
Agredo, J.; Fagnola, Franco
2017
Gaussian quantum Markov semigroups on a one-mode Fock space: irreducibility and normal invariant states. Zbl 1480.81071
Agredo, J.; Fagnola, F.; Poletti, D.
2021
Classical and quantum Markov processes associated with $$q$$-Bessel operators. Zbl 1453.81045
2020
Quadratic open quantum harmonic oscillator. Zbl 1459.47017
Dhahri, Ameur; Fagnola, Franco; Yoo, Hyun Jae
2020
The role of the atomic decoherence-free subalgebra in the study of quantum Markov semigroups. Zbl 1416.81096
Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica
2019
Basic properties of a mean field laser equation. Zbl 07177216
Fagnola, Franco; Mora, Carlos M.
2019
A characterization of quantum Markov semigroups of weak coupling limit type. Zbl 1458.47020
2019
Structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra. Zbl 1377.81083
Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica
2017
On quantum versions of the classical Wasserstein distance. Zbl 1395.81141
Agredo, J.; Fagnola, Franco
2017
On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020
Accardi, Luigi; Fagnola, Franco; Quezada, Roberto
2016
Structure of uniformly continuous quantum Markov semigroups. Zbl 1341.82048
Deschamps, Julien; Fagnola, Franco; Sasso, Emanuela; Umanità, Veronica
2016
Entropy production for quantum Markov semigroups. Zbl 1316.81067
Fagnola, Franco; Rebolledo, Rolando
2015
Entropy production and detailed balance for a class of quantum Markov semigroups. Zbl 1329.81250
Fagnola, F.; Rebolledo, R.
2015
On the range of the generator of a quantum Markov semigroup. Zbl 1335.81089
Bolaños-Servin, Jorge R.; Fagnola, Franco
2015
On the relationship between a quantum Markov semigroup and its representation via linear stochastic Schrödinger equations. Zbl 1351.47032
Fagnola, Franco; Mora, Carlos
2015
Decoherence free subspaces of a quantum Markov semigroup. Zbl 1308.81118
Agredo, Julián; Fagnola, Franco; Rebolledo, Rolando
2014
Stochastic Schrödinger equations and applications to Ehrenfest-type theorems. Zbl 1277.60108
Fagnola, F.; Mora, C. M.
2013
Generic quantum Markov semigroups, cycle decomposition and deviation from equilibrium. Zbl 1257.82067
Fagnola, Franco; Umanità, Veronica
2012
Decomposition and classification of generic quantum Markov semigroups: the Gaussian gauge invariant case. Zbl 1257.81046
Fagnola, Franco; Hachicha, Skander
2012
Are sufficient conditions for conservativity of minimal quantum semigroups necessary? Zbl 1286.81127
Fagnola, F.; Martínez, L. Pantaleoń
2012
The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator. Zbl 1209.46041
Dhahri, Ameur; Fagnola, Franco; Rebolledo, Rolando
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 1209.46044
Fagnola, Franco; Umanità, Veronica
2010
From classical to quantum entropy production. Zbl 1220.81151
Fagnola, F.; Rebolledo, R.
2010
Irreducible and periodic positive maps. Zbl 1331.46052
Fagnola, Franco; Pellicer, Rely
2009
Algebraic conditions for convergence of a quantum Markov semigroup to a steady state. Zbl 1165.46035
Fagnola, Franco; Rebolledo, Rolando
2008
Detailed balance, time reversal, and generators of quantum Markov semigroups. Zbl 1221.47080
Fagnola, Franco; Umanità, Veronica
2008
Spectral properties of the two-photon absorption and emission process. Zbl 1153.81331
Carbone, R.; Fagnola, F.; García, J. C.; Quezada, R.
2008
Quantum Fokker-Planck models: the Lindblad and Wigner approaches. Zbl 1180.81089
Arnold, A.; Fagnola, F.; Neumann, L.
2008
Maximal commutative subalgebras invariant for CP-maps: (counter-)examples. Zbl 1171.46044
Bhat, B. V. Rajarama; Fagnola, Franco; Skeide, Michael
2008
Generators of detailed balance quantum Markov semigroups. Zbl 1148.46036
Fagnola, Franco; Umanita, Veronica
2007
Generic quantum Markov semigroups: the Gaussian gauge invariant case. Zbl 1137.81025
Carbone, Raffaella; Fagnola, Franco; Hachicha, Skander
2007
Generic $$q$$-Markov semigroups and speed of convergence of $$q$$-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
2006
Notes on the qualitative behaviour of quantum Markov semigroups. Zbl 1158.81014
Fagnola, Franco; Rebolledo, Rolando
2006
Quantum stochastic differential equations and dilation of completely positive semigroups. Zbl 1133.81041
Fagnola, Franco
2006
Two-photon absorption and emission process. Zbl 1095.46041
2005
Transience and recurrence of quantum Markov semigroups. Zbl 1024.60031
Fagnola, Franco; Rebolledo, Rolando
2003
Solving quantum stochastic differential equations with unbounded coefficients. Zbl 1019.81028
Fagnola, Franco; Wills, Stephen J.
2003
Quantum stochastic differential equations. Zbl 1087.81033
Fagnola, Franco
2003
Quantum Markov semigroups and their stationary states. Zbl 1143.81309
Fagnola, Franco; Rebolledo, Rolando
2003
The Feller property of a class of quantum Markov semigroups. II. Zbl 1053.46044
Carbone, Raffaella; Fagnola, Franco
2003
Subharmonic projections for a quantum Markov semigroup. Zbl 1059.47049
Fagnola, Franco; Rebolledo, Rolando
2002
Some results on invariant states for quantum Markov semigroups. Zbl 1009.60090
Fagnola, Franco; Rebolledo, Rolando
2002
H-P quantum stochastic differential equations. Zbl 1046.81067
Fagnola, Franco
2002
On the existence of stationary states for quantum dynamical semigroups. Zbl 1013.81031
Fagnola, Franco; Rebolledo, Rolando
2001
Exponential $$L_2$$-convergence of quantum Markov semigroups on $${\mathcal B}(h)$$. Zbl 1015.47026
Carbone, R.; Fagnola, F.
2000
Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups. Zbl 0961.47026
Cipriani, Fabio; Fagnola, Franco; Lindsay, J. Martin
2000
A simple singular quantum Markov semigroup. Zbl 0964.60090
Fagnola, Franco
2000
Mild solutions of quantum stochastic differential equations. Zbl 0967.60064
Fagnola, Franco; Wills, Stephen J.
2000
Quantum Markov semigroups and quantum flows. Zbl 1255.81185
Fagnola, Franco
1999
Sufficient conditions for conservativity of minimal quantum dynamical semigroups. Zbl 0914.47040
Chebotarev, A. M.; Fagnola, F.
1998
The approach to equilibrium of a class of quantum dynamical semigroups. Zbl 0923.46073
Fagnola, Franco; Rebolledo, Rolando
1998
Extending flows of classical Markov processes to quantum flows in Fock space. Zbl 1044.81649
Fagnola, F.
1998
Reduction of noise by squeezed vacuum. Zbl 0940.81052
Fagnola, Franco; Rebolledo, Rolando; Saavedra, Carlos
1998
On minimality of Evans-Hudson flows. Zbl 0909.60090
Bhat, B. V. Rajarama; Fagnola, F.
1997
On quantum extensions of semigroups of Brownian motion on a half-line. Zbl 0904.46048
Bhat, B. V. Rajarama; Fagnola, Franco; Sinha, Kalyan B.
1996
Quantum extensions of semigroups generated by Bessel processes. Zbl 0897.46053
Fagnola, F.; Monte, R.
1996
The approach to equilibrium by means of quantum flows. (Sur l’approche de l’équilibre au moyen des flots quantiques.) Zbl 0842.58040
Fagnola, Franco; Rebolledo, Rolando
1995
Quantum flows associated to master equations in quantum optics. Zbl 0797.60052
Fagnola, Franco; Rebolledo, Rolando; Saavedra, Carlos
1994
Sufficient conditions for conservativity of quantum dynamical semigroups. Zbl 0801.46083
Chebotarev, Alexandr M.; Fagnola, Franco
1993
Quantum flows with unbounded structure maps and finite degrees of freedom. Zbl 0791.60053
Fagnola, F.; Sinha, Kalyan B.
1993
Scattering theory for unitary cocycles. Zbl 0844.60098
Fagnola, F.; Sinha, Kalyan B.
1993
A representation free quantum stochastic calculus. Zbl 0759.60068
Accardi, Luigi; Fagnola, F.; Quaegebeur, J.
1992
Free noise dilation of semigroups of countable state Markov processes. Zbl 0789.47026
Fagnola, F.; Mancino, M.
1992
Towards a stochastic Stone’s theorem. Zbl 0789.60054
Chebotarev, A. M.; Fagnola, F.; Frigerio, A.
1992
Unitarity of solutions to quantum stochastic differential equations and conservativity of the associated semigroups. Zbl 0789.47027
Fagnola, Franco
1992
On quantum stochastic integration with respect to “free” noises. Zbl 0953.60527
Fagnola, Franco
1991
Fagnola, Franco
1991
Pure birth and pure death processes as quantum flows in Fock space. Zbl 0776.46028
Fágnola, Franco
1991
Quantum stochastic differential equations and Feynman-Kac perturbation of quantum evolution. Zbl 0953.60530
Fagnola, Franco
1991
On quantum stochastic differential equations with unbounded coefficients. Zbl 0685.60058
Fagnola, Franco
1990
A martingale characterization of quantum Poisson processes. Zbl 0694.60045
Fagnola, Franco
1990
Quantum stochastic calculus and a Boson Lévy theorem. Zbl 0705.60100
Fagnola, F.
1990
Stochastic integration. Zbl 0659.46055
Accardi, Luigi; Fagnola, Franco
1988
Sur la représentation intégrale des martingales d’un processus de comptage. (On the integral representation of martingales of a counting process). Zbl 0615.60045
Fagnola, Franco; Letta, Giorgio
1986
all top 5

### Cited by 232 Authors

 40 Fagnola, Franco 23 Accardi, Luigi 18 Carbone, Raffaella 14 Rebolledo Berroeta, Rolando 14 Umanità, Veronica 13 Mukhamedov, Farruh Maksutovich 11 Quezada, Roberto B. 10 Sasso, Emanuela 8 Mora, Carlos M. 7 Ko, Chul Ki 7 Park, Yong Moon 7 Pautrat, Yan 6 Agredo, Julián 6 Gough, John E. 6 Wang, Caishi 5 Chebotarev, Alexandr M. 5 García, Julio César 5 Hachicha, Skander 5 Lindsay, J. Martin 5 Lu, Yun Gang 5 Wills, Stephen J. 4 Arnold, Anton 4 Ayed, Wided 4 Bahn, Changsoo 4 Bardet, Ivan 4 Belton, Alexander C. R. 4 Bolaños-Servin, Jorge R. 4 Dhahri, Ameur 4 Duvenhage, Rocco 4 Kholevo, Aleksandr Semënovich 4 Joye, Alain 3 Androulakis, George 3 Bhat, B. V. Rajarama 3 Bruneau, Laurent 3 Carlen, Eric Anders 3 Chen, Jinshu 3 Clark, Jeremy Thane 3 Fidaleo, Francesco 3 Hudson, Robin Lyth 3 James, Matthew R. 3 Nurdin, Hendra Ishwara 3 Ouerdiane, Habib 3 Poletti, Damiano 3 Quaegebeur, Johan 3 Röckner, Michael 3 Sinha, Kalyan B. 3 Skeide, Michael 3 van Handel, Ramon 3 Yoo, Hyun Jae 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 Boukas, Andreas 2 Bouten, Luc 2 Chang, Mouhsiung 2 Cipriani, Fabio 2 Datta, Nilanjana 2 Erkurşun Özcan, Nazife 2 Gnacik, Michał 2 Guan, Ji 2 Guerrero-Poblete, Fernando 2 Hanson, Eric P. 2 Horowitz, Jordan M. 2 Kachanovsky, Nikolai A. 2 Kozyrev, Sergeĭ Vladimirovich 2 Kumar, Dharmendra 2 Lardizabal, Carlos F. 2 López, José Luis 2 Maas, Jan 2 Mohari, Anilesh 2 Mokhtar-Kharroubi, Mustapha 2 Ogundiran, Michael Oluniyi 2 Parthasarathy, Kalyanapuram Rangachari 2 Raquépas, Renaud 2 Ren, Suling 2 Santis, Ricardo Castro 2 Soler, Juan S. 2 Sparber, Christof 2 Srivastava, Sachi 2 Tang, Yuling 2 Temir, Seyit 2 Trushechkin, Anton Sergeevich 1 Akin, Hasan 1 Alazzawi, Sabina 1 Amini, Hadis 1 Amorim, Érik 1 Andersson, Andreas 1 Andréys, Simon 1 Anshelevich, Michael 1 Arenas, Mallén 1 Arlotti, Luisa 1 Arveson, William Barnes 1 Banasiak, Jacek ...and 132 more Authors
all top 5

### Cited in 81 Serials

 45 Infinite Dimensional Analysis, Quantum Probability and Related Topics 25 Journal of Mathematical Physics 17 Annales Henri Poincaré 16 Journal of Functional Analysis 14 Journal of Statistical Physics 12 Mathematical Notes 11 Communications in Mathematical Physics 9 Open Systems & Information Dynamics 8 Reviews in Mathematical Physics 6 Reports on Mathematical Physics 4 Probability Theory and Related Fields 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Indian Journal of Pure & Applied Mathematics 3 Letters in Mathematical Physics 3 Stochastic Analysis and Applications 3 Acta Mathematica Hungarica 3 Linear Algebra and its Applications 2 Semigroup Forum 2 Journal of Theoretical Probability 2 The Annals of Applied Probability 2 Random Operators and Stochastic Equations 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Stochastics 2 Banach Journal of Mathematical Analysis 2 Advances in Mathematical Physics 1 Communications in Algebra 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 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 Automatica 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 New Journal of Physics 1 Statistical Inference for Stochastic Processes 1 Lobachevskii Journal of Mathematics 1 Stochastic Models 1 Stochastics and Dynamics 1 Milan Journal of Mathematics 1 Quantum Information Processing 1 Mediterranean Journal of Mathematics 1 Cubo 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proyecciones 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Inequalities 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Dynamic Games and Applications 1 Quanta 1 Carpathian Mathematical Publications 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications
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### Cited in 30 Fields

 174 Quantum theory (81-XX) 120 Functional analysis (46-XX) 108 Operator theory (47-XX) 107 Probability theory and stochastic processes (60-XX) 70 Statistical mechanics, structure of matter (82-XX) 18 Partial differential equations (35-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Measure and integration (28-XX) 6 Ordinary differential equations (34-XX) 4 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Potential theory (31-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)