7 citations · 13 across the 6 of their papers we have counts for
6 papers
Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications
Nassim Athmouni, Mohsen Ben Abdallah, Mondher Damak +3
We develop a local Lie theory for Lie algebras equipped with a quasi-norm, i.e., complete topological vector spaces satisfying a relaxed triangle inequality $\|x+y\|\le \Ctri(\|x\|…
A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium
Mondher Damak, Mayssa Hammami, Claude-Alain Pillet
We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study…
On the ascent-descent spectrum
Nassim Athmouni, Mondher Damak, Chiraz Jendoubi
We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Fu…
On the spectral analysis of many-body systems
Mondher Damak, Vladimir Georgescu
We describe the essential spectrum and prove the Mourre estimate for quantum particle systems interacting through k-body forces and creation-annihilation processes which do not pre…
Hilbert C*-modules and spectral analysis of many-body systems
Mondher Damak, Vladimir Georgescu
We study the spectral properties of a class of many channel Hamiltonians which contains those of systems of particles interacting through k-body and field type forces which do not…
Toeplitz algebras and spectral results for the one-dimensional Heisenberg model
Mondher Damak, Marius Mantoiu, Rafael Tiedra de Aldecoa
We determine the structure of the spectrum and obtain non-propagation estimates for a class of Toeplitz operators acting on a subset of the lattice . This class contains the…