Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Taarabt, Amal"'
We analyze the properties of the spectral shift function (SSF) for some dispersive self-adjoint operators under suitable compact perturbations. New mechanisms allowing the SSF to have singularities at the thresholds are exhibited, based on the degene
Externí odkaz:
http://arxiv.org/abs/2409.13942
In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We establish an analog of Carmona's formula and deduce criteria for absolu
Externí odkaz:
http://arxiv.org/abs/2405.08898
We consider one-dimensional discrete Dirac models in vanishing random environments. In a previous work [6], we showed that these models exhibit a rich phase diagram in terms of their spectrum as a function of the rate of decay of the random potential
Externí odkaz:
http://arxiv.org/abs/2301.13107
We consider some compact non-selfadjoint perturbations of fibered one-dimensional discrete Schr\"odinger operators. We show that the perturbed operator exhibits finite discrete spectrum under suitable\- regularity conditions.
Comment: Submission
Comment: Submission
Externí odkaz:
http://arxiv.org/abs/2002.09590
We consider a one-dimensional Anderson model where the potential decays in average like $n^{-\alpha}$, $\alpha>0$. This simple model is known to display a rich phase diagram with different kinds of spectrum arising as the decay rate $\alpha$ varies.
Externí odkaz:
http://arxiv.org/abs/2001.08131
We study the spectrum and dynamics of a one-dimensional discrete Dirac operator in a random potential obtained by damping an i.i.d. environment with an envelope of type $n^{-\alpha}$ for $\alpha>0$. We recover all the spectral regimes previously obta
Externí odkaz:
http://arxiv.org/abs/2001.02199
We consider a one-dimensional continuum Anderson model where the potential decays in average like $|x|^{-\alpha}$, $\alpha>0$. We show dynamical localization for $0<\alpha<\frac12$ and provide control on the decay of the eigenfunctions.
Externí odkaz:
http://arxiv.org/abs/2001.02197
Let $H_0$ be a purely absolutely continuous selfadjoint operator acting on some separable infinite-dimensional Hilbert space and $V$ be a compact non-selfadjoint perturbation. We relate the regularity properties of $V$ to various spectral properties
Externí odkaz:
http://arxiv.org/abs/1807.01282
We investigate the distribution of the resonances near spectral thresholds of Laplace operators on regular tree graphs with $k$-fold branching, $k \geq 1$, perturbed by nonself-adjoint exponentially decaying potentials. We establish results on the ab
Externí odkaz:
http://arxiv.org/abs/1708.08032
Autor:
Sambou, Diomba, Taarabt, Amal
Publikováno v:
Comptes Rendus Mathematique 2017
We investigate the behaviour of the eigenvalues of two-dimensional Pauli operators with nonconstant magnetic fields perturbed by a sign-indefinite decaying electric potential V. We prove new eigenvalues asymptotics.
Comment: Final published vers
Comment: Final published vers
Externí odkaz:
http://arxiv.org/abs/1608.00294