My research was in the field of mathematical physics, especially on applications of probabilistic ideas to quantum mechanics. My main topics of research were related with repeated indirect measurements (their distributions, the information that can be extracted from them, their effect on the measured system) and with the so called full counting statistics (or two-time measurements, that allow for a reformulation of e.g. thermodynamic laws for quantum systems).

These lines of research are described in the manuscript for my habilitation thesis, which you're strongly encouraged to read, for otherwise I would have translated it for nothing :-)

publications and prepublications

• Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras
  

  with Simeng Wang

  arXiv:2010.02177

• classical probability for quantum statistical mechanics
  

  habilitation à diriger les recherches de l'Université Paris Saclay

  
  

• invariant measure for stochastic Schrödinger equations
  

  with T. Benoist, M. Fraas, C. Pellegrini

  arXiv:1907.08485

  Annales Henri Poincaré

• heat conservation and fluctuations for open quantum systems in the two-time measurement picture

  with T. Benoist, A. Panati

  arXiv:1810.09999,

  Journal of Statistical Physics

• recurrence and transience of continuous-time open quantum walks

  with H. Bringuier, I. Bardet, C. Pellegrini

  arXiv:1803.03436,

  Séminaire de Probabilités L (2019)

• Landauer’s principle for trajectories of repeated interaction systems
  

  with E. Hanson, A. Joye, R. Raquépas

  arXiv:1705.08281,

  Annales Henri Poincaré 19 (2018)

• invariant measure for quantum trajectories

  with T. Benoist, M. Fraas, C. Pellegrini

  arXiv:1703.10773

  Probability Theory and Related Fields 174 (2019)

• passage times, exit times and Dirichlet problems for open quantum walks
  

  with I. Bardet, D. Bernard

  arXiv:1610.06772

  Journal of Statistical Physics 167-2 (2017)

• contractivity properties of a quantum diffusion semigroup
  

  with N. Datta, C. Rouzé

  arXiv:1607.04242

  Journal of Mathematical Physics 58 (2017)

• on entropy production of repeated quantum measurements I. General theory
  

  with T. Benoist, V. Jaksic, C.-A. Pillet

  arXiv:1607.00162,

  Communications in Mathematical Physics 357 (2018)

• Landauer's principle in repeated interaction systems
  

  with E. Hanson, A. Joye, R. Raquépas

  arXiv:1510.00533,

  Communications in Mathematical Physics 349 (2017)

• irreducible decompositions and stationary states of quantum channels
  

  with R. Carbone

  arXiv:1507.08404,

  Reports in Mathematical Physics 77 (2016)

• second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d. ‒ quantum lattice systems and more
  

  with N. Datta, C. Rouzé

  arXiv:1510.04682,

  Journal of Mathematical Physics 57 (2016)

• open quantum random walks: reducibility, period, ergodic properties
  

  with R. Carbone

  arXiv:1405.2214,

  Annales Henri Poincaré 17 (2016)

• full statistics of energy conservation in two times measurement protocols
  

  with T. Benoist, V. Jaksic, A. Panati, C.-A. Pillet

  arXiv:1503.07333,

  Physical Reviews E, 92 (2015)

• homogeneous open quantum random walks on a lattice
  

  with R. Carbone

  arXiv:1408.1113,

  Journal of Statistical Physics 160 (2015)

• entropic fluctuations in quantum statistical mechanics: an Introduction
  

  with V. Jaksic, Y. Ogata, C.-A. Pillet

  arXiv:1106.3786,

  Lecture Notes of the Les Houches Summer School 95 (2010)

• a non-commutative Lévy-Cramér continuity theorem
  

  with V. Jaksic, C.-A. Pillet

  hal-00423439,

  Markov Processes and Related Fields 16 (2010)

• a quantum central limit theorem for sums of independent identically distributed random variables
  

  with V. Jaksic, C.-A. Pillet

  hal-00423440,

  Journal of Mathematical Physics 51 (2010)

• central limit theorem for locally interacting Fermi gas
  

  with V. Jaksic, C.-A. Pillet

  hal-00183637,

  Communications in Mathematical Physics 285 (2009)

• transport properties of quasi-free fermions
  

  with W. Aschbacher, V. Jaksic, C.-A. Pillet

  hal-00109016,

  Journal of Mathematical Physics 48 (2007)

• topics in non-equilibrium quantum statistical mechanics
  

  with W. Aschbacher, V. Jaksic, C.-A. Pillet

  hal-00005352,

  Open quantum systems. III, Lecture Notes in Math. 1882 (2006)

• from repeated to continuous quantum interactions
  

  with S. Attal

  arXiv:/0311002,

  Annales Henri Poincaré 7 (2006)

• kernel and integral representations of operators on infinite dimensional toy Fock spaces
  

  hal-01735639,

  Séminaire de probabilités XXXIX (2006)
  

• from n+1-level atom chains to n-dimensional noises
  

  with S. Attal

  arXiv:/0402064,

  Annales de l'Institut H. Poincaré Probab. Statist. 41 (2005)

• from Pauli matrices to quantum Itô formula
  

  hal-01735660,

  Mathematical Physics, Analysis and Geometry 8 (2005)

• stochastic integral representations of second quantization operators
  

  hal-01735670,

  Journal of Functional Analysis 208 (2004)

• des matrices de Pauli aux bruits quantiques
  

  tel-00004050v1,

  thèse de doctorat de l'Univ. Joseph Fourier