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On the mathematical work of M. SH Birman
International audience -
Remarks on J. Espinar's ''Finite index operators on surfaces''
In this paper, we make some remarks on José Espinar's paper ''Finite index operators on surfaces'' [\texttt{arXiv:0911.3767}, to appear in Journal of Geometric... -
Lifshitz tails for acoustic waves in random quantum waveguide
In this study, we consider acoustic operators in a random quantum waveguide. Precisely we deal with the acoustic operator of the form $-\nabla \varrho \nabla$ on a... -
Stability properties of steady-states for a network of ferromagnetic nanowires
International audience -
Isospectrality for quantum toric integrable systems
35 pages, 6 figures -
First steps in symplectic and spectral theory of integrable systems
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Spectral positivity and Riemannian coverings
Bull. London Math. Soc. 45 (2013) 1041–1048 -
Landauer-Büttiker formula and Schrödinger conjecture
International audience -
Stability of acoustic propagation in 2D duct flows: A low frequency approach
International audience -
Singular Bohr-Sommerfeld conditions for 1D Toeplitz operators: hyperbolic case
International audience -
Tunnel effect for semiclassical random walks
We study a semiclassical random walk with respect to a probability measure with a finite number n_0 of wells. We show that the associated operator has exactly n_0... -
On the ground state energy of the Laplacian with a magnetic field created by ...
We consider the three-dimensional Laplacian with a magnetic field created by an infinite rectilinear current bearing a constant current. The spectrum of the associated... -
Contributions to the study of spectral minimal partitions
This work is concerned with the problem of minimal partitions, at the interface between spectral theory and shape optimization. A general introduction gives a precise... -
Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic...
The hydrogen binding energy in the Pauli-Fierz model with the spin Zeeman term is determined up to the order alpha cube, where alpha denotes the fine-structure constant.
