← Back to Home

• Decay estimates for unitary representations with applications to continuous- and discrete-time models,
  with S. Richard, Ann. Henri Poincaré, 24 (2023), 1-36
• Discrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators,
  with H. S. Nguyen and S. Richard, Math. Nachr. 295 (2022), no. 5, 912-949
• Scattering operator and wave operators for 2D Schrödinger operators with threshold obstructions,
  with S. Richard and L. Zhang, Complex Anal. Oper. Theory 15 (2021), article number 106
• Spectral and scattering theory of one-dimensional coupled photonic crystals,
  with G. De Nittis, M. Moscolari and S. Richard, Rev. Math. Phys. 33 (2021), no. 8, 2150027
• Spectral and scattering properties of quantum walks on homogenous trees of odd degree,
  Ann. Henri Poincaré 22 (2021), no. 8, 2563-2593
• Stationary scattering theory for unitary operators with an application to quantum walks,
  J. Funct. Anal. 279 (2020), no. 7, 108704 (33 pages)
• Commutator criteria for strong mixing II. More general and simpler,
  with S. Richard, Cubo 21 (2019), no. 1, 37-48
• Quantum time delay for unitary operators: general theory,
  with D. Sambou, Rev. Math. Phys. 31 (2019), no. 6, 1950018 (49 pages)
• Quantum walks with an anisotropic coin II: scattering theory,
  with S. Richard and A. Suzuki, Lett. Math. Phys. 109 (2019), no. 1, 61-88
• Quantum walks with an anisotropic coin I: spectral theory,
  with S. Richard and A. Suzuki, Lett. Math. Phys. 108 (2018), no. 2, 331-357
• Degree, mixing, and absolutely continuous spectrum of cocycles with values in compact Lie groups,
  Far East J. Dyn. Syst. 30 (2018), no. 4, 135-209
• Ruled strips with asymptotically diverging twisting,
  with D. Krejcirik, Ann. Henri Poincaré 19 (2018), no. 7, 2069-2086
• Spectral properties of horocycle flows for compact surfaces of constant negative curvature,
  Proyecciones 36 (2017), no. 1, 95-116
• Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition,
  with S. Richard, J. Math. Anal. Appl. 446 (2017), no. 2, 1695-1722
• Commutator criteria for strong mixing,
  Ergodic Theory Dynam. Systems 37 (2017), no. 1, 308-323
• Furstenberg transformations on Cartesian products of infinite-dimensional tori,
  with P. A. Cecchi, Potential Anal. 44 (2016), no. 1, 43-51
• Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides,
  with S. Richard, Bull. Soc. Math. France 144 (2016), no. 2, 251-277
• The absolute continuous spectrum of skew products of compact Lie groups,
  Israel J. Math. 208 (2015), no. 1, 323-350
• Commutator methods for the spectral analysis of uniquely ergodic dynamical systems,
  Ergodic Theory Dynam. Systems 35 (2015), no. 3, 944-967
• Explicit formulas for the Schrödinger wave operators in R^2,
  with S. Richard, C. R. Acad. Sci. Paris, Ser. I 351 (2013), no. 5, 209-214
• New expressions for the wave operators of Schrödinger operators in R^3,
  with S. Richard, Lett. Math. Phys. 103 (2013), 1207-1221
• A few results on Mourre theory in a two-Hilbert spaces setting,
  with S. Richard, Anal. Math. Phys. 3 (2013), no. 2, 183-200
• Commutator methods for unitary operators,
  with C. Fernández and S. Richard, J. Spectr. Theory 3 (2013), no. 3, 271-292
• Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends,
  with S. Richard, Rev. Math. Phys. 25 (2013), no. 2, 1350003 (40 pages)
• Spectral analysis of time changes of horocycle flows,
  J. Mod. Dyn. 6 (2012), no. 2, 275-285
• Time delay and Calabi invariant in classical scattering theory,
  with A. Gournay, Rev. Math. Phys. 24 (2012), no. 9, 1250023 (27 pages)
• A formula relating sojourn times to the time of arrival in Hamiltonian dynamics,
  with A. Gournay, J. Phys. A: Math. Gen. 45 (2012), no. 21, 215204 (23 pages)
• Time delay is a common feature of quantum scattering theory,
  with S. Richard, J. Math. Anal. Appl. 387 (2012), no. 2, 618-630
• A new formula relating localisation operators to time operators,
  with S. Richard, in Spectral Analysis of Quantum Hamiltonians: Spectral Days 2010, 301-338,
  Operator Theory: Advances and Applications 224, Birkhäuser, Basel, 2012
• Asymptotics near +-m of the spectral shift function for Dirac operators with non-constant magnetic fields,
  Comm. Partial Differential Equations 36 (2011), no. 1, 10-41
• New formulae for the wave operators for a rank one interaction,
  with S. Richard, Integral Equations and Operator Theory 66 (2010), no. 21, 283-292
• Time delay for dispersive systems in quantum scattering theory,
  Rev. Math. Phys. 21 (2009), no. 5, 675-708
• The method of the weakly conjugate operator: Extensions and applications to operators on graphs and groups,
  with M. Mantoiu and S. Richard, BMIF - Mathematics, Informatics, Physics Series, LXI (2009), no. 1, 31-42
• Anisotropic Lavine's formula and symmetrised time delay in scattering theory,
  Math. Phys. Anal. Geom. 11 (2008), no. 2, 155-173
• Spectral analysis for convolution operators on locally compact groups,
  with M. Mantoiu, J. Funct. Anal. 253 (2007), no. 2, 675-691
• On the spectrum of magnetic Dirac operators with Coulomb-type perturbations,
  with S. Richard, J. Funct. Anal. 250 (2007), no. 2, 625-641
• Generalized definition of time delay in scattering theory,
  with C. Gérard, J. Math. Phys. 48 (2007), no. 12, 122101
• Spectral analysis for adjacency operators on graphs,
  with M. Mantoiu and S. Richard, Ann. Henri Poincaré 8 (2007), no. 7, 1401-1423
• Toeplitz algebras and spectral results for the one-dimensional Heisenberg model,
  with M. Damak and M. Mantoiu, J. Math. Phys. 47 (2006), no. 8, 082107
• Time delay and short-range scattering in quantum waveguides,
  Ann. Henri Poincaré 7 (2006), no. 1, 105-124
• On perturbations of Dirac operators with variable magnetic field of constant direction,
  with S. Richard, J. Math. Phys. 45 (2004), no. 11, 4164-4173
• The nature of the essential spectrum in curved quantum waveguides,
  with D. Krejcirik, J. Phys. A: Math. Gen. 37 (2004), no. 20, 5449-5466

• Spectral Theory and Mathematical Physics,
  M. Mantoiu, G. Raikov and R. Tiedra de Aldecoa (Editors), Operator Theory: Advances and Applications 254 (2016), Birkhäuser Basel

• Métodos a conmutadores en teoría espectral y teoría del scattering,
  (in Spanish), Revista Joven Matemático 2 (2011), 36-42

• Conjugate operators and translation invariance in scattering theory,
  (in French), PhD Thesis (2005), University of Geneva
• Elements of homogeneous Cosmology at first-order in String Theory,
  (in French), MSc Thesis (2001), University of Geneva