I consider random Schrödinger operators with exponentially decaying single site potential, which is allowed to change sign. For this model, I prove Anderson localization both in the sense of exponentially decaying eigenfunctions and dynamical localization. Furthermore, the results imply a Wegner-type estimate strong enough to use in classical forms of multi-scale analysis
We study Schrödinger operators on L2(ℝd) and ℓ2(ℤd) with a random potential of alloy-type. The singl...
In this thesis we will prove various types of localization for some classes of one-dimensionalrandom...
In this thesis we will prove various types of localization for some classes of one-dimensionalrandom...
I consider random Schrödinger operators with exponentially decaying single site potential, which is...
AbstractWe prove exponential localization at all energies for one-dimensional continuous Anderson-ty...
Abstract. We show persistence of both Anderson and dynamical local-ization in Schrödinger operators...
We give a proof of exponential localization in the Anderson model with long range hopping based on a...
AbstractWe prove exponential localization at all energies for one-dimensional continuous Anderson-ty...
We prove pure point spectrum with exponentially decaying eigenfunctions at all band edges for Schrod...
We give a simple geometric proof of Wegner's estimate which leads to a variety of new results o...
AbstractWe prove the existence with probability one of an interval of pure point spectrum for some f...
AbstractWe prove the existence with probability one of an interval of pure point spectrum for some f...
The notion of Anderson localization refers to the appearance of pure point spectrum with exponential...
We prove Anderson localization at the internal band-edges for periodic magnetic Schr{ö}dinger operat...
We consider a random Schrödinger operator on the binary tree with a random potential which is the su...
We study Schrödinger operators on L2(ℝd) and ℓ2(ℤd) with a random potential of alloy-type. The singl...
In this thesis we will prove various types of localization for some classes of one-dimensionalrandom...
In this thesis we will prove various types of localization for some classes of one-dimensionalrandom...
I consider random Schrödinger operators with exponentially decaying single site potential, which is...
AbstractWe prove exponential localization at all energies for one-dimensional continuous Anderson-ty...
Abstract. We show persistence of both Anderson and dynamical local-ization in Schrödinger operators...
We give a proof of exponential localization in the Anderson model with long range hopping based on a...
AbstractWe prove exponential localization at all energies for one-dimensional continuous Anderson-ty...
We prove pure point spectrum with exponentially decaying eigenfunctions at all band edges for Schrod...
We give a simple geometric proof of Wegner's estimate which leads to a variety of new results o...
AbstractWe prove the existence with probability one of an interval of pure point spectrum for some f...
AbstractWe prove the existence with probability one of an interval of pure point spectrum for some f...
The notion of Anderson localization refers to the appearance of pure point spectrum with exponential...
We prove Anderson localization at the internal band-edges for periodic magnetic Schr{ö}dinger operat...
We consider a random Schrödinger operator on the binary tree with a random potential which is the su...
We study Schrödinger operators on L2(ℝd) and ℓ2(ℤd) with a random potential of alloy-type. The singl...
In this thesis we will prove various types of localization for some classes of one-dimensionalrandom...
In this thesis we will prove various types of localization for some classes of one-dimensionalrandom...