Preprints

• Expansion of the Many-body Quantum Gibbs State of the Bose-Hubbard Model on a Finite Graph (in collaboration with Shahnaz Farhat and Sören Petrat) May 2024 read more >

Publications

• Almost sure existence of global solutions for general initial value problems. Advances in Mathematics, September 2024, Vol. 453 (in collaboration with Shahnaz Farhat & Vedran Sohinger) read more >
• Towards a derivation of Classical ElectroDynamics of charges and fields from QED
  (in collaboration with Marco Falconi & Fumio Hiroshima) February 2022 (To appear in Annales de l'institut Fourier) read more >
• Invariant measures as probabilistic tools in the analysis of nonlinear ODEs & PDEs. Springer INdAM Series vol. 57 & 58 (in collaboration with Shahnaz Farhat & Vedran Sohinger) read more >
• Semiclassical analysis of quantum asymptotic fields in the Yukawa theory. Journal of Differential Equations Vol. 357 (2023) (in collaboration with Marco Falconi & Marco Olivieri) read more >
• Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs. Revista Matemática Iberoamericana Vol. 39 (2023) (in collaboration with Vedran Sohinger) read more >
• High temperature convergence of the KMS boundary conditions: The Bose-Hubbard model on a finite graph. Communications in Contemporary Mathematics Vol. 23, No. 05, 2050035 (2021) (in collaboration with Antsa Ratsimanetrimanana) read more >
• On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type. Arch. Ration. Mech. Anal. 238 (2020) (in collaboration with Quentin Liard and Clément Rouffort) read more >
• Quantum mean-field asymptotics and multiscale analysis. Tunis. J. Math. 1 (2019) (in collaboration with Sébastien Breteaux and Francis Nier) read more >
• On uniqueness of measure-valued solutions to Liouville's equation of Hamiltonian PDEs. Discrete Contin. Dyn. Syst. 38 (2018) (in collaboration with Quentin Liard) read more >
• Bohr's correspondence principle for the renormalized Nelson model. SIAM J. Math. Anal. 49 (2017) (in collaboration with Marco Falconi) read more >
• On the rate of convergence for the mean field approximation of bosonic many-body quantum dynamics. Commun. Math. Sci. 14 (2016) (in collaboration with Marco Falconi and Boris Pawilowski) read more >
• Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Ann. Sc. Norm. Super. Pisa Cl. Sci. 14 (2015) (in collaboration with Francis Nier) read more >
• On the classical limit of self-interacting quantum field Hamiltonians with cutoffs. Hokkaido Math. J. 43 (2014) (in collaboration with Maher Zerzeri) read more >
• Wigner measures approach to the classical limit of the Nelson model: convergence of dynamics and ground state energy. J. Stat. Phys. 157 (2014) (in collaboration with Marco Falconi) read more >
• On the Hausdorff dimension of singular sets for the Leray-alpha Navier-Stokes equations with fractional regularization, Dynamics of PDE, 9 (2012) (in collaboration with Hani Ali) read more >
• Propagation of chaos for many-boson systems in one dimension with a point pair-interaction, Asymptot. Anal. 76 (2012) (in collaboration with Sébastien Breteaux) read more >
• Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states, J. Math. Pures Appl. (9) 95 (2011) (in collaboration with Francis Nier) read more >
• Mean field limit for bosons and propagation of Wigner measures, J. Math. Phys. 50 (2009)
  (in collaboration with Francis Nier) read more >
• Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis, Annales Henri Poincare, 9 (2008) (in collaboration with Francis Nier) read more >
• Canonical commutation relations and interacting Fock spaces, Journées "Équations aux Dérivées Partielles'', Exp. No. II, (2004) read more >
• Scattering theory for a class of fermionic Pauli-Fierz models, J. Funct. Anal. 208 (2004) read more >
• On odd perturbations of free fermion fields, Lett. Math. Phys. 63 (2003) read more >
• Asymptotic completeness for a renormalized nonrelativistic Hamiltonian in quantum field theory: the Nelson model, Math. Phys. Anal. Geom. 3 (2000) read more >