Research Publications, Survey Articles and Preprints


[1] :  "Problèmes d'unicité dans les représentations d'opérateurs sur l'espace de Fock", 
Séminaire de Probabilités XXVISpringer L.N.M. 1526 (1992),  p. 619-632.

[2] :  "Représentation des endomorphismes de l'espace de Wiener qui préservent les martingales", 
        Comptes Rendus de l'Académie des Sciences
316 (1993), p. 739-744.

[3] : "Interprétation probabiliste et extension des intégrales stochastiques non commutatives",
        (with P.-A. Meyer),
        Séminaire de Probabilités XXVII, Springer L.N.M. 1557
(1993), p. 312-327.

[4] : "Characterizations of some operators on Fock space",
Quantum probability and related Topics VIII, World Scientific (1993), p. 37-46.

[5] : "Characterizations of operators commuting with some conditionnal expectations on multiple Fock spaces",
        Quantum probability and related Topics VIII, World Scientific (1993), p. 47-69.

[6] : "An algebra of non-commutative bounded semimartingales -- Square and angle quantum brackets", 
Journal of Functional Analysis 124 (1994), p. 292-332.

[7] : "Semimartingales non commutatives et applications aux endomorphismes browniens",
        Thesis, Université Louis Pasteur, Strasbourg (1994).

[8] : "Equations de structure pour des martingales vectorielles",
        (with M. Emery),
        Séminaire de Probabilités XXVIII, Springer L.N.M. 1583 (1994), p. 256-278.

[9] : "Quantum Ito product formula: the combinatorial aspect",
        (with J.M. Lindsay),
        Proceedings of the memorial conference for A. Frigerio, in Contributions in probability,
editor C. Cecchini, Forum (1994), p. 31-42.

[10] : "Représentation des endomorphismes de l'espace de Wiener qui préservent les martingales",
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 31 (1995}), p. 467-484.

[11] :  "Sur quelques filtrations et transformations browniennes",
        (with C. Burdzi, M. Emery and Y. Hu),
Séminaire de Probabilités XXIX, Springer Verlag, L.N.M. 1613, (1995), p. 56-69.

[12] : "Strong Markov processes and the Dirichlet problem on von Neumann algebras",
        (with K.R. Parthasarathy),
Stochastic Analysis and Applications,
(Proceedings of the Fifth Gregynog Symposium, Gregynog,  Powys, 9--1 July 1995),

editors: Ian M Davies, Aubrey Truman, K David Elworthy
, p 53-75.

[13] : "Non-commutative chaotic expansion of Hilbert-Schmidt operators on Fock space", 
Communications in Mathematical Physics 175 (1996), p. 43-62.

[14] : "Martingales d'Azéma bidimensionnelles",
         (with M. Emery),
Asterisque 236, Hommage à P.-A. Meyer et J. Neveu (1996), p. 9-21.

[15] : "Calculs  stochastiques classique et quantique",
Diplôme d'Habilitation à Diriger des Recherches, Université J. Fourier,  Grenoble (1997).

[16] : "Classical and quantum stochastic calculus",
Quantum Probability Communications X, World scientific,  (1998), p 1-52.

[17] :  "Stopping semimartingales on Fock space",
         (with K.B. Sinha),
Quantum Probability Communications X, World Scientific, (1998), p 171-186.

[18] :  "Series of iterated non-commutative stochastic integrals",
        (with R.L. Hudson),
Séminaire de  Probabilités XXXIV,  Springer L.N.M. 1729 (2000), p. 157-170.

[19] : Quantum probability communications. Vol. XI.
Papers from the Summer School held in Grenoble, June 1998.
Edited by Stéphane Attal and J. Martin Lindsay.
World Scientific Publishing Co., Inc., River Edge, NJ,
2003.

[20] :  Quantum probability communications. Vol. XII.
Papers from the Summer School held in Grenoble, June 1998.
Edited by Stéphane Attal and J. Martin Lindsay.
World Scientific Publishing Co., Inc., River Edge, NJ,
2003.

[21] :  "Extensions of quantum stochastic calculus" ,
Quantum probability communications, Vol. XI (Grenoble, 1998), 1--37,
World Scientific Publishing, River Edge, NJ, 2003. 

[22] :  "The structure of the quantum semimartingale algebras",
Journal of Operator Theory 46 (2001), p. 391-410.

[23] : "Quantum stochastic calculus with maximal operator domain",
        (with J.M. Lindsay),
The Annals of Probability, 32 (2004), p. 488-529.

[24] : "Approximating the Fock space with the toy Fock space",
Séminaire de Probabilités XXXVI, Springer L.N.M. 1801 (2003) , p. 477-497.

[25] :  "Orthogonal spaces associated to exponentials of indicator functions on Fock space",
        (with A. Bernard),
The Journal of the London Mathematical Society 66 (2002), p. 487-498.

[26] : "Quantum stopping times and quasi left-continuity",
        (with A. Coquio),
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 40 (2004),  p. 497-512.

[27] : "From (n+1)-level atom chains to n-dimensional noises",
        (with Y. Pautrat),
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 41 (2005), p. 391-407.

[28] : "Elements of operator algebras and modular theory",
"Quantum Open Systems. Vol I: The Hamiltonian approach",
Springer Verlag, Lecture Notes in Mathematics 1880 (2006), p. 69-106

[29] : "Quantum noises",
"Quantum Open Systems. Vol II: The Markovian approach",
Springer Verlag, Lecture Notes in Mathematics 1881 (2006), p 79-148.

[30] : "From repeated to continuous quantum interactions",
        (with Y. Pautrat)
        Annales Henri Poincaré (Physique Théorique) 7 (2006), p. 59-104.

[31] : "Disparition de Paul-André Meyer",
        In memoriam Paul-André Meyer: Séminaire de Probabilités XXXIX, 
27–34, Lecture Notes in Math., 1874

[32] : Quantum Open Systems. Vol I: The Hamiltonian approach
        Papers from the Summer School held in Grenoble, June 2003.
        Edited by Stéphane Attal, Alain Joye and  Claude-Alain Pillet
        Springer Verlag
, Lecture Notes in Mathematics, 1880 (2006).

[33] : Quantum Open Systems. Vol II: The Markovian approach
Papers from the Summer School held in Grenoble, June 2003.
        Edited by Stéphane Attal, Alain Joye and  Claude-Alain Pillet
        Springer Verlag, Lecture Notes in Mathematics, 1881 (2006).

[34] : Quantum Open Systems. Vol III: Recent developments
        Papers from the Summer School held in Grenoble, June 2003.
Edited by Stéphane Attal, Alain Joye and  Claude-Alain Pillet
Springer Verlag, Lecture Notes in Mathematics, 1882 (2006).

[35] : "Weak coupling and continuous limits for repeated quantum interactions",
        (with  A. Joye)
        Journal of Statistical Physics 126, (2007), p. 1241-1283.

[36] : "The Langevin equation for a quantum heat bath",
        (with A. Joye)
        Journal of Functional Analysis, 247, (2007),  p. 253-288.

[37] : "The chaotic-representation property for some Azéma martingales",
        (with A. Belton)
        Probability Theory and Related Fields, 139 (2007), p. 543-562.

[38] : "Strong Markov processes and the Dirichlet problem on von Neumann algebras",
        (with K.R. Parthasarathy)
       preprint, unpublished

[39] : "Statistical properties of the Pauli matrices going through noisy channels",
        (with N. Guillotin-Plantard),
         Séminaire de Probabilités, XLII, Springer L.N.M. 1979 (2009), p. 433-448.

[40] : "Repeated quantum interactions and unitary random walks",
        (with A. Dhahri)
       Journal of Theoritical Probability, 23 (2010), p. 345-361.

[41] : "Discrete approximation of the free Fock space"   
        (with I. Nechita),
        Séminaire de Probabilités XLIII, Springer L.N.M. 2006 (2010), p. 379-394.

[42] : "Stochastic Schrödinger equations in thermal environment"   
        (with C. Pellegrini),
       Open Systems and Information Dynamics 17 (2010), p. 389-408.

[43] : "Return to equilibrium for some stochastic Schrödinger equations"   
        (with C. Pellegrini),
       In  Nova Publisher Book « Stochastic Differential Equations », ISBN: 978-1-61324-278-0 (2011).

[44] : "Markov Chains and Dynamical Systems: The Open System Point of View",
      
Communications on Stochastic Analysis 4 (2010), p. 523-540.

[45] : "Open Quantum Random Walks"
          (with F. Petruccione, C. Sabot and I. Sinayskiy)
          J. Stat. Phys. 147, (2012), no. 4, p. 832–852.

[46] : "Open Quantum Random Walks on Graphs"
          (with F. Petruccione and I. Sinayskiy)
          Phys. Lett. A., Vol. 376, Issue 18 (2012),  p. 1545–1548

[47] : "Central Limit Theorems for Open Quantum Random Walks and Quantum Measurement Records"
          (with N. Guillotin and C. Sabot)
          
Annales Henri Poincaré (Physique Théorique),  Ann. Henri Poincaré 16 (2015), no. 1, 15–43.

[48] : "Entanglement of Bipartite Quantum Systems driven by Repeated Interactions"
          (with J. Deschamps and C. Pellegrini)
           Journal of Statistical Physics,  154 (2014), no. 3, 819–837.

[49] : "Complex Obtuse Random Walks and their Continuous-Time Limit"
          (with J. Deschamps and C. Pellegrini)
          Probability Theory and Related Fields (2015).

[50] : "Operator and Spectral Theory",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 1 (59p),
       http://math.univ-lyon1.fr/~attal/chapters.html

[51] : "Tensor Products and Partial Traces",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 2 (25p),
         http://math.univ-lyon1.fr/~attal/chapters.html

[52] : "Operator Semigroups",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 3 (29p),
         http://math.univ-lyon1.fr/~attal/chapters.html

[53] : "Stochastic Processes",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 4 (54p),
         http://math.univ-lyon1.fr/~attal/chapters.html

[54] : "Quantum Mechanics",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 5 (27p),
         http://math.univ-lyon1.fr/~attal/chapters.html
 

[55] : "Quantum Channels",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 6 (65p),
         http://math.univ-lyon1.fr/~attal/chapters.html

[56] : "Quantum Probability",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 7 (47p),
         http://math.univ-lyon1.fr/~attal/chapters.html

[57] : "Fock Spaces",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 8 (22p),
         http://math.univ-lyon1.fr/~attal/chapters.html

[58] : "Repeated Quantum Interactions",
          In "Lectures on Quantum Noise Theory, vol I", Lecture 9,
         http://math.univ-lyon1.fr/~attal/chapters.html,
            in preparation

[59] : "Classical Noises Emerging from Quantum Environments"
          (with J. Deschamps and C. Pellegrini)
           in preparation.

[60] : "Coarse Graining from Open to Unitary Quantum Walks"
          (with F. Petruccione and I. Sinayskiy)
           in preparation.

[61] : "Repeated Quantum Interactions and Thermalization for Fermionic Systems"
          (with S. Andreys, D. Karevski, T. Platini)
           in preparation.