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(avec Hervé Kunz et Charles Pfister) "Exponential
Decay and Geometric Aspect of Transition
Probabilities in the Adiabatic Limit" Annals of Physics 208, (1991), p. 299-332. |
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(avec Charles Pfister) "Exponentially Small
Adiabatic Invariant for the Schrödinger Equation" Communications in Mathematical Physics 140, (1991) , p. 15-41 . |
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(avec Charles Pfister) "Full Asymptotic Expansion of
Transition Probabilities in the Adiabatic Limit" Journal of Physics A 24, (1991), p. 753-766. |
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(avec Gaetano Mileti et Charles Pfister) "Interferences in
Adiabatic Transition
Probabilities Mediated by Stokes Lines" Physical Review A 44, (1991), p. 4280-4295. |
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(avec Charles Pfister) "Absence of geometrical
correction to the Landau-Zener formula " Physics Letters A 169, (1992), p. 62-66. |
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"
Geometrical and Mathematical
Aspects of the Adiabatic Theorem of Quantum Mechanics " Thèse du Département de Physique de l'E.P.F.L. n0 1022 (26 mai 1992) |
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(avec Charles Pfister) "
Superadiabatic Evolution and Adiabatic Transition Probability between
two non-degenerate Levels isolated in the Spectrum " Journal of Mathematical Physics 34, (1993), p. 454-479, . |
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(avec Charles Pfister) "Non-abelian
Geometric
Effect in Quantum Adiabatic Transitions" Physical Review A 48, (1993), p. 2598-2608. |
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(avec Charles Pfister) "Adiabatic Evolution in Quantum
Mechanics" in Phase Transitions: Mathematics, Physics, Biology... R.Kotecky edt. World Scientific, Singapore, (1993), p. 123-128. |
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"Non-trivial Prefactors in Adiabatic Transition
Probabilities Induced by High Order Complex Degeneracies" Journal of Physics A 26, (1993), p. 6517-6540. |
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"Proof of the Landau-Zener Formula"
Asymptotic Analysis 9, (1994), p. 209-258. |
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(avec Charles Pfister) "Quantum Adiabatic Evolution" in Leuven Conference Proceedings; On the Three Levels Micro-, Meso- and Macro-approaches in Physics M.Fannes, C.Meas, A.Verbeure eds. Plenum, New-York, (1994), p. 139-148. |
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"Absence
of Absolutely Continuous
Spectrum of
Floquet Operators" Journal of Statistical Physics 75, (1994), p. 929-952. |
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"An
Adiabatic Theorem for
Singularly Pertubed Hamiltonians" Annales de l'Institut Henri Poincaré, Physique. Théorique 63, (1995), p. 231- 250. |
|
(avec Charles Pfister)
"Semiclassical Asymptotics Beyond
all Orders for Simple Scattering Systems", SIAM Journal on Mathematical Analysis 26, (1995), p. 944-977. |
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"Upper
Bounds for the Energy Expectation in
Time-Dependent Quantum Mechanics", Journal of Statistical Physics 85, (1996), p. 575-606. |
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"Théorie Adiabatique: Applications et
Généralisations" Mémoire d'Habilitation à Diriger des Recherches, Université de Toulon et du Var (7 mai 1996) |
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"Exponential
Asymptotics
in a Singular
Limit
for n-Level Scattering Systems", SIAM Journal on Mathematical Analysis, 28 (1997), p. 669-703. |
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(avec George Hagedorn) "Landau-Zener
transitions
through
small electronic eigenvalue gaps in the Born-Oppenheimer
approximation", Annales de l'Institut Henri Poincare, Physique Théorique, 68, 1 (1998), p. 85-134. |
|
(avec Jean-Marie Barbaroux) "Expectation
Values
of
Observables
in Time-Dependent Quantum Mechanics", Journal of Statistical Physics, 90 (1998), p. 1225-1250. |
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(avec George Hagedorn) "Molecular
Propagation
Through
Small Avoided Crossings of Electron Energy Levels", Reviews in Mathematical Physics, 11 (1999), p. 41-101. |
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(avec Charles Pfister) "Exponential
Estimates
in
Adiabatic
Quantum Evolution", XIIth International Congress of Mathematical Physics, ICMP '97 (1999), p. 309-315, De Wit, Bracken, Gould and Pearce Eds, International Press, Cambridge. |
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(avec François Monti, Stéphane
Guérin, et Hans
Jauslin) "Adiabatic
Evolution
for Systems with Infinitely many Eigenvalue Crossings", Journal of Mathematical Physics, 40 (1999), p. 5456-5472. |
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(avec George Hagedorn) "Semiclassical
dynamics
with
exponentially small error estimates", Communications in Mathematical Physics, 207 (1999), p. 439-465. |
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(avec Pavel Exner et Hynek Kovarik) "Edge
currents
in
the absence of edges", Physics Letters A, 264, (1999), p. 124-130. |
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(avec George Hagedorn) "Semiclassical
Dynamics
and
Exponential Asymptotics", dans Differential Equations and Mathematical Physics, Proceedings of the International Conference held at Birmingham, March 16-20, 1999, R.Weikard and G.Weinstein Eds, AMS/IP Studies in Advanced Mathematics, 16 , pp 181-195, 2000. |
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(avec F.Monti, S.Guérin, H.R.Jauslin) "Adiabatic evolution through infinitely many eigenvalue crossings", dans Equadiff'99, International Conference on Differential Equations, Berlin 1999 , B.Fiedler, K.Groeger and J.Sprekels Eds, World Scientific, Vol.2, pp 1241-1246, 2000. | ![]() |
(avec Charles Pfister) "Complex
WKB Method
for 3-Level Scattering Systems", Asymptotic Analysis, 23, (2000), p. 91-109. |
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(avec George Hagedorn) "Exponentially
Accurate
Semiclassical
Dynamics: Propagation, Localization, Ehrenfest Times,
Scattering
and More General States", Annales Henri Poincaré, 1 , (2000), p. 837-883. |
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(avec George Hagedorn) "A
Time-Dependent
Born-Oppenheimer
Approximation with Exponentially Small Error Estimates", Communications in Mathematical Physics, 223, (2001), p. 583-626. |
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(avec Pavel Exner) " Avoided
Crossings
in
Mesoscopic
Systems: Electron Propagation on a Non-uniform Magnetic Cylinder", Journal of Mathematical Physics, 42 , (2001), p. 4707-4738. |
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(avec Pavel Exner et Hynek Kovarik) "
Magnetic
transport in a straight parabolic channel", Journal of Physics A: Mathematical and General, 34 , (2001), p. 9733-9752. |
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(avec George Hagedorn) "
Elementary
Exponential
Error Estimates for the Adiabatic Approximation", Journal of Mathematical Analysis and Applications, 267 , (2002), p. 235-246. |
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(avec Olivier Bourget et James Howland) "Spectral
Analysis of Unitary Band Matrices", Communications in Mathematical Physics, 234 , (2003), p. 191-227 . |
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"Density
of
States and Thouless Formula for
Random
Unitary Band Matrices", Annales Henri Poincaré, 5 , (2004), p. 349-379 . |
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(avec George Hagedorn) " Time
Development of
Exponentially Small Non-Adiabatic Transitions", Communications in Mathematical Physics, 250, (2004), p. 393-413 . |
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(avec George Hagedorn) "
Determination of
Non-Adiabatic Scattering Wave Functions in a Born-Oppenheimer Model", Annales Henri Poincaré, 6 , (2005), p. 937-990. Erratum, ibid. p.1197-1199. |
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"
Introduction to the Theory of Linear
Operators ", In "Open Quantum Systems", Vol. I: The Hamiltonian
Approach,
S.Attal, A.Joye & C.A.Pillet Eds. Springer Lecture Notes in Mathematics, 1880, (2006), p. 1-40. |
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"
Introduction to Quantum Statistical Mechanics ", In "Open Quantum
Systems", Vol. I: The Hamiltonian
Approach,
S.Attal, A.Joye & C.A.Pillet Eds. Springer Lecture Notes in Mathematics, 1880, (2006), p. 41-67. |
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(avec Stéphane Attal) "
Weak Coupling and Continuous Limits for Repeated Quantum Interactions" ,
Journal of Statistical Physics , 126, (2007), p. 1241-1283. |
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"
Fractional Moment Estimates for Random
Unitary Operators ", Letters in Mathematical Physics, 72, (2005), p. 51-64 . |
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(avec Eman Hamza et Günter Stolz) "
Localization for Random Unitary Operators" , Letters in Mathematical Physics, 75, (2006), p. 255-272 . |
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(avec Stéphane Attal et Claude-Alain Pillet)
Editeurs de "Open
Quantum Systems", Volume I: The Hamiltonian Approach, Volume II: The
Markovian Approach, Volume III: Recent Developments, Springer Lecture Notes in Mathematics, , 1880, 1881 & 1882, (2006). |
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(avec Joachim Asch) Editeurs de "Mathematical Physics of
Quantum
Mechanics",
Selected and Refereed Lectures from QMath9, Springer Lecture Notes in Physics, 690, (2006). |
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(avec Magali Marx) "
Semi-classical
Determination of Exponentially Small Intermode Transitions for 1+1
Space-time Scattering Systems ", Communications on Pure and Applied Mathematics, 60, (2007), p.1189-1237. |
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(avec George Hagedorn) "
Mathematical Analysis
of Born-Oppenheimer Approximations", in Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday. Part I: Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems, F. Gesztesy, P. Deift, C. Galvez, P. Perry, W. Schlag, editors. AMS Proc. of Symposia in Pure Math. 76 , p. 203-226, 2007. |
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(avec George Hagedorn) " Recent
Results on
Non--Adiabatic
Transitions in Quantum Mechanics ", In "Recent Advances in Differential Equations and Mathematical Physics", edited by N. Chernov, Y. Karpeshina, I. Knowles, R. Lewis, and R. Weikard. AMS Contemporary Mathematics Series , 412, p. 183--198 2006. |
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(avec Stéphane Attal) "
The Langevin Equation for a Quantum Heat Bath" , Journal of Functional Analysis , 247, (2007), p. 253-288. |
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(avec Laurent Bruneau et Marco Merkli) " Asymptotics
of repeated interaction quantum systems ", Journal of Functional Analysis, 239, (2006), p. 310-344 . |
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(avec George Hagedorn) " A
Mathematical
Theory for Vibrational Levels Associated with Hydrogen Bonds I: The
Symmetric Case ", Communications in Mathematical Physics, 274, (2007), p. 691-715. |
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"
General Adiabatic Evolution
with a Gap Condition ", Communications in Mathematical Physics , 275, (2007), p. 139-162. |
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(avec George Hagedorn) "
Vibrational Levels
Associated
with Hydrogen Bonds and Semiclassical Hamiltonian Normal Forms ", In "Adventures in Mathematical Physics", a Conference in Honor of Jean-Michel Combes, edited by F. Germinet and P. Hislop, AMS Contemporary Mathematics Series, 447, (2007), p. 139-151. |
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(avec Valentina Brosco, Rosario Fazio et Frank Hekking) "Non-abelian
superconducting
pumps", Physical Review Letters , 100, 027002, (2008). |
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(avec Laurent Bruneau et Marco Merkli) " Infinite
Products of Random Matrices and Repeated Interaction Dynamics ", Annales Institut Henri Poincaré (B) Probabilités et Statistiques, 46, (2010), p. 442-464 |
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(avec Laurent Bruneau et Marco Merkli) " Random
Repeated Interaction Quantum Systems ", Communications in Mathematical Physics , 284, (2008), p. 553-581. |
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"
Repeated Interaction Quantum Systems:
Deterministic and Random ", In "Mathematical Results in Quantum Mechanics", Proceedings of the QMath10 Conference, edited by I. Beltita, G. Nenciu, R. Purice, World Scientific, 2008, p. 169-189. |
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(avec Volker Betz et Stefan Teufel) "
Emergence of exponentially small reflected waves", Asymptotic Analysis, 64, (2009), 53-100 |
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|
(avec George Hagedorn) "
A Mathematical Theory for Vibrational Levels Associated
with Hydrogen Bonds II: The Non--Symmetric Case", Reviews in Mathematical Physics, 21, (2009), 279-313. |
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(avec George Hagedorn) "
A Mathematical Theory for Vibrational Levels Associated
with Hydrogen Bonds ", In the Proceedings of the Conference ``Critical Stability V'', Erice 2008, Few Body Systems, 45, (2009), 183-186. |
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(avec Eman Hamza et Günter Stolz) "
Dynamical Localization for Unitary Anderson Models" , Mathematical Physics, Analysis and Geometry, 12, (2009), 381-444. |
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(avec Laurent Bruneau et Marco Merkli) "
Repeated and Continuous Interactions in Open Quantum Systems ", Annales Henri Poincaré, 10, (2010), 1251-1284. |
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(avec Joachim Asch et Olivier Bourget) "
Localization Properties of the Chalker-Coddington Model ", Annales Henri Poincaré, 11, (2010), 1341-1373. |
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(avec Vasile Gradinaru et George Hagedorn) "
Tunneling dynamics and spawning with adaptive semi-classical wave-packets ", Journal of Chemical Physics, 132 , (2010), 184108. |
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(avec Valentina Brosco et Frank Hekking) "
Abstract adiabatic charge pumping ",
Confluentes Mathematici, 2, (2010), 159-180. |
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(avec Vasile Gradinaru et George Hagedorn) "
Exponentially Accurate Semiclassical Tunneling Wave Functions in One Dimension ",
Journal of Physics A: Mathematical and Theoretical , 43 , (2010), 474026. |
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(avec Marco Merkli) "
Dynamical Localization of Quantum Walks in Random Environments ",
Journal of Statistical Physics, 140, (2010), 1025-1053. |
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(avec George Hagedorn) " Non--Adiabatic Transitions in a Simple Born--Oppenheimer
Scattering System ",
In "Mathematical Results in Quantum Physics, Proceedings of the QMath11 Conference", edited by P. Exner, World Scientific, 2011, p. 208-212. |
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" Random Time-Dependent Quantum Walks ", Communications in Mathematical Physics, 307, (2011), 65-100. |
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" Random Unitary Models and their Localization Properties ",
In "Entropy & the Quantum II", Contemporary Mathematics, 552, (2011), 117-134. |
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(avec Eman Hamza) " Correlated Markov Quantum Walks ",
Annales Henri Poincaré, 13, (2012), 1767-1805. |
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(avec Joachim Asch et Olivier Bourget) " Dynamical Localization of the Chalker-Coddington Model far from Transition ",
Journal of Statistical Physics, 147, (2012), 194-205. |
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" Dynamical Localization for d-Dimensional Random Quantum Walks ",
Quantum Information Processing Special Issue: Quantum Walks, 11, (2012), 1251-1269. |
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" Dynamical Localization of Random Quantum Walks on the Lattice ",
XVII th International Congress on Mathematical Physics, Aalborg, Denmark, 6-11 August 2012, A.Jensen Edt., World Scientific, p.486-494, (2013). |
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(avec Eman Hamza) " Spectral Transition for Random Quantum Walks on Trees ",
Communications in Mathematical Physics , |
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(avec Laurent Bruneau et Marco Merkli) "
Repeated Interactions in Open Quantum Systems ",
Journal of Mathematical Physics , |
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(avec Laurent Marin) "
Spectral Properties of Quantum Walks on Rooted Binary Trees ",
Journal of Statistical Physics, |
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(avec Eman Hamza) "
Spectral Properties of Non-Unitary Band Matrices ",
Annales Henri Poincaré, |
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(avec Joachim Asch et Olivier Bourget) "
Spectral Stability of Unitary Network Models ",
Reviews in Mathematical Physics, |
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"
Density of States for Random Contractions ",
Journal of Spectral Theory , |
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(avec Marco Merkli) "
Representations of Canonical Commutation Relations Describing Infinite Coherent States ",
Communications in Mathematical Physics , |
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(avec Eric Hanson, Yan Pautrat et Renaud Raquépas) "
Landauer's Principle in Repeated Interaction Systems ",
Communications in Mathematical Physics , |
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(avec Eman Hamza) "
Random Quantum Walks and Non-Unitary Band Operators ",
Proceedings of ICMP 2015, Santiago. |
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(avec Eman Hamza) "
Thermalization of Fermionic Quantum Walkers ",
Journal of Statistical Physics, |
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(avec Marco Merkli) "
Random Phase Infinite Coherent States: Construction and Dynamics ",
Contemporary Mathematics, |
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(avec Eric Hanson, Yan Pautrat et Renaud Raquépas) "
Landauer's Principle for Trajectories of Repeated Interaction Systems ",
Annales Henri Poincaré, |
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(avec Joachim Asch et Olivier Bourget) "
Chirality induced Interface Currents in the Chalker Coddington Model ",
Journal of Spectral Theory, |
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(avec Joachim Asch) "
Lower Bounds on the Localisation Length of Balanced Random Quantum Walks ",
Letters in Mathematical Physics, |
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(avec Joachim Asch et Olivier Bourget) "
On stable quantum currents ",
Journal of Mathematical Physics, |
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(avec Clotilde Fermanian-Kammerer) "
A Nonlinear Quantum Adiabatic Approximation ",
Nonlinearity, |
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(avec Marco Merkli et Dominique Spehner) " Adiabatic transitions in a two-level system coupled to a free Boson reservoir ",
Annales Henri Poincaré, |
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(avec Simon Andréys et Renaud Raquépas) " Fermionic walkers driven out of equilibrium ",
Journal of Statistical Physics, |
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(avec Géraldine Haack) " Perturbation Analysis of Quantum Reset Models ",
Journal of Statistical Physics, |
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" Adiabatic Lindbladian Evolution with Small Dissipators ",
Communications in Mathematical Physics, |
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(avec Jean-François Bougron et Claude-Alain Pillet) " Markovian Repeated Interaction Quantum Systems ",
Reviews in Mathematical Physics, |
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(avec Marco Merkli) " The Adiabatic Wigner-Weisskopf Atom ",
Journal of Statistical Physics, |
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(avec Géraldine Haack) " Entropy Production of Quantum Reset Models ",
Prépublication , (2024) |
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(avec Christopher Cedzich, Albert Werner, Reinhard Werner) " Exponential Tail Estimates for Quantum Lattice Dynamics ",
Prépublication , (2024) |
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