We study the spectral properties of a charged particle confined to a twodimensional plane and submitted to homogeneous magnetic and electric fields and an impurity potential V . We use the method of… (More)

We study the spectrum of a random Schrödinger operator for an electron submitted to a magnetic field in a finite but macroscopic two dimensional system of linear dimensions equal to L. The y… (More)

We review observations of extended regions of radio emission in clusters; these include diffuse emission in 'relics', and the large central regions commonly referred to as 'halos'. The spectral… (More)

We study edge states of a random Schrödinger operator for an electron submitted to a magnetic field in a finite macroscopic two dimensional system of linear dimensions equal to L. The y direction is… (More)

We present an investigation of the metal enrichment of the intra-cluster medium (ICM) by galactic winds and merger-driven starbursts. We use combined N-body/hydrodynamic simulations with a… (More)

Measurement of the gas velocity distribution in galaxy clusters provides insight into the physics of mergers, through which large scale structures form in the Universe. Velocity estimates within the… (More)

We present deep LOFAR observations between 120 and 181MHz of the “Toothbrush” (RX J0603.3+4214), a cluster that contains one of the brightest radio relic sources known. Our LOFAR observations exploit… (More)

The purpose of this paper is to study the decay properties of resonances in two dimensions in the presence of crossed magnetic and electric fields and a potential type perturbation. We assume that… (More)

We study the spectrum of a random Schrödinger operator for an electron submitted to a magnetic field in a finite but macroscopic two dimensional system of linear dimensions equal to L. The y… (More)