Publications de Vincent Bruneau

Articles et Notes

• V. Bruneau: Sur le spectre continu de l'opérateur de Dirac: formule de Weyl, limite non-relativiste, C.R. Acad. Sci. Paris, 322(I), 43-48 (1996).
• V. Bruneau: Fonctions Zeta et Eta en présence de spectre continu, C.R. Acad. Sci. Paris, 323(I), 475-480 (1996).
• V. Bruneau: Asymptotique de la phase de diffusion à haute énergie pour l'opérateur de Dirac, Ann. fac. Sci. de Toulouse, vol. 7 (2), (1998).
• V. Bruneau, D. Robert: Asymptotics of the Scattering Phase for the Dirac operator : High energy, semi-classical and non-relativistic limits, Arkiv för matematik, 37, 1-32 (1999).
• V. Bruneau: Semi-classical behaviour of the Scattering Phase for trapping perturbations of the Laplacian, Comm. in P.D.E., 24 (5-6), 1095-1125 (1999).
• V. Bruneau: Riesz means of bounded states : semi-classical asymptotic, C.R. Acad. Sci. Paris, (I), 328, 643-647 (1999).
• V. Bruneau: Semi-classical asymptotic of Riesz means, J. London Math. Soc., 62 (2), 613-624 (2000).
• V. Bruneau, V. Petkov: Semi-classical resolvent estimates for trapping perturbations, Commun. Math. Phys., 213, 413-432 (2000).
• V. Bruneau, V. Petkov: Representation of the spectral shift function and spectral asymptotics for trapping perturbations, Comm. in P.D.E.,  26 (11-12), 2081-2119 (2001).
• V. Bruneau, G. Carbou: Spectral asymptotic in the large coupling limit, Asymp. Anal, 29 (2), 91-113 (2002).
• V. Bruneau, V. Petkov: Meromorphic continuation of the spectral shift function, Duke Math. J, 116 (3), 389-430 (2003).
• V. Bruneau, V. Petkov: Eigenvalues of the reference operator and semi-classical resonances , J. Funct. Anal., 202, 571-590 (2003).
• V. Bruneau, A. Pushnitski, G. Raikov: Spectral Shift Function in Strong Magnetic Fields, Algebra i Analiz, 16, 207-238 (2004), St. Petersburg Math. J., 16 (1), 181-209 (2005).
• V. Bruneau, G. Raikov: High energy asymptotics of the magnetic Spectral Shift Function, J. of Math. Phys, 45, 3453-3461 (2004).
• V. Bruneau, M. Dimassi: Weak asymptotics of the Spectral Shift Function in strong constant magnetic field (.pdf), (.ps), Math. Nachrichten., 280, n.11, 1230-1243, (2007).
• J.F. Bony, V. Bruneau, G. Raikov: Resonances and spectral shift function near the landau levels (.pdf) (.ps), Annales de l'Institut Fourier, 57, n. 2, 629-671, (2007).
• M.A. Astaburuaga, P. Briet, V. Bruneau, C. Fernandez, G. Raikov: Dynamical resonances and SSF singularities for a magnetic Schrödinger operator (.pdf), Serdica Math. J., 34, 179-218 (2008).
• J.M. Bouclet, V. Bruneau: Resonances of Schrödinger operators as zeroes of regularized determinants (.pdf) (.ps) , International Mathematics Research Notices 2008, ID rnn002, 55 pages, (2008).
• V. Bruneau, E.M. Ouhabaz:  Lieb-Thirring estimates for non self-adjoint Schrödinger operators, (.pdf) Journal of Mathematical Physics 49, 093504 (2008).
• J.F. Bony, V. Bruneau, P. Briet, G. Raikov: Resonances and SSF singularities for magnetic Schroedinger operators, (.pdf) Cubo Math. Journal, 11, no 5, 23-38 (2009)
• V. Bruneau, A. Khochman, G. Raikov: Perturbation of a magnetic Schrödinger operator near an embedded infinite-multiplicity eigenvalue,(.pdf) Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics 500, (2009), AMS, Providence, 47-62.  
• V. Bruneau, P. Miranda, G. Raikov: Discrete spectrum of quantum Hall effect Hamiltonians I. Monotone edge potentials (.pdf), Journal of Spectral Theory, 1, 237-272 (2011). 
• B. Bercu, J.-F. Bony, V. Bruneau: Large deviations of Gaussian stationary processes and semi-classical analysis (.pdf), lecture notes in mathematics, Séminaire de Probabilité XLIV, 2046,  409-428 (2012).
• J.F. Bony, V. Bruneau, G. Raikov: Counting function of characteristic values and magnetic resonances (.pdf), Comm. Partial Diff. Equations, 39 (2), 274-305  (2014).
• J.F. Bony, V. Bruneau, G. Raikov : Resonances and Spectral Shift Function for Magnetic Quantum Hamiltonians (.pdf), RIMS Hokyuroku Bessatsu, à paraître (2014).
• V. Bruneau, P. Miranda, G. Raikov: Dirichlet and Neumann Eigenvalues for Half-Plane Magnetic Hamiltonians (.pdf) Review in Mathematical Physics, 26 (2) 1450003 (23 pages) (2014).
• V. Bruneau, N. Popoff: On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current (.pdf) J. of Funct. Analysis, 268 (5), 1277-1307 (2015)
• V. Bruneau, D. Sambou: Spectral clusters for magnetic exterior problems (.pdf), Operator Theory: Advances and Application, 254, pp. 57-70 (2016)
• V. Bruneau, N. Popoff: On the negative spectrum of the Robin Laplacian in corner domains (.pdf), Anal. PDE 9, no. 5, 1259–1283 (2016)
• V. Bruneau, D. Sambou: Counting function of magnetic resonances for exterior problems (.pdf), Annales Henri Poincaré, 17 (12), 3443-3471 (2016)
• V. Bruneau, K. Pankrashkin, N. Popoff: Eigenvalue counting function for Robin Laplacians on conical domains (.pdf) ,  J. of Geom. Anal. Vol. 28 (1), 123-151 (2018)
• V. Bruneau, G. Raikov: Local eigenvalue asymptotics of the perturbed Krein Laplacian. (.pdf) Mathematical problems in quantum physics, 197–213, Contemp. Math., 717, Amer. Math. Soc., Providence, RI, 2018.
• V. Bruneau, A. Doradoux, P. Fabrie: Convergence of a Vector Penalty Projection Scheme for the Navier-Stokes Equations with moving body (.pdf), ESAIM Math. Model. Numer. Anal. 52 (4), 1417-1436 (2018)
• V. Bruneau, G. Raikov: Spectral Properties of Harmonic Toeplitz Operators and Applications to the Perturbed Krein Laplacian (.pdf) Asymptot. Anal. 109 (1-2) 53-74 (2018)
• V. Bruneau, P. Miranda: Threshold Singularities of the Spectral Shift Function for a Half-Plane Magnetic Hamiltonian (.pdf) J. Funct. Anal. 274 (9)  2499-2531 (2018)
• V. Bruneau, P. Miranda, N. Popoff: Resonances near thresholds in slightly twisted waveguides. (.pdf) Proc. Amer. Math. Soc. 146 (11) 4801-4812 (2018)
• V. Bruneau, P. Miranda, D. Parra, N. Popoff: Eigenvalue and Resonance Asymptotics in perturbed periodically twisted tubes: Twisting versus Bending, (.pdf) Ann. Henri Poincaré, 21 (2) 377- 403 (2020)
• V. Bruneau, G. Raikov: Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians, (.pdf) Ann. Henri Poincaré, 21 1451- 1488 (2020)

Pré-publications

• B. Benhellal, V. Bruneau, M. Zreik : A Poincaré-Steklov map for the MIT bag model (.pdf)
• V. Bruneau : The Spectral Shift Function for Quantum Hamiltonians (.pdf)

Livre (version préliminaire)

• V. Bruneau, G. Raikov: Magnetic Quantum Hamiltonians and Berezin-Toeplitz Operators, Spectral analysis (.pdf)