AbstractWe investigate the large time behaviour of various solutions of the Schrödinger equation in terms of some local and global dimensions of the spectral measure. We emphasize in particular the role of the Hausdorff and correlation dimensions for the growth exponents of position moments. We also discuss the stability of such exponents under local perturbations
In this Dissertation thesis the spectral theory of Schrödinger operators modeling quasicrystals in d...
We study two topics in the theory of Schr\"odinger operators:1. We establish bounds on the density o...
This article contains and develops the results of hal-00765928We look at the long-time behaviour of ...
AbstractWe investigate the large time behaviour of various solutions of the Schrödinger equation in ...
We consider quasiperiodic Jacobi and Schr\"odinger operators of both a single- and multi-frequency. ...
To explain the origin of quantum behavior, we propose a fractal calculus to describe the non-local p...
We study fractal dimension properties of singular Jacobi operators. We prove quantitative lower spec...
International audienceIn this chapter, we study some aspects of the chaotic behaviour of the time ev...
Abstract. We study the spectrum of the Fibonacci Hamiltonian and prove upper and lower bounds for it...
We study the spectrum of the Fibonacci Hamiltonian and prove upper and lower bounds for its fractal ...
After nearly one hundred years after its origins, foundational quantum mechanics remains one of the ...
The open problem Study the Thue-Morse trace map; in particular, find the asymptotics of the Hausdorf...
AbstractWe study relations between quantum dynamics and spectral properties, concentrating on spectr...
The open problem Study the Thue-Morse trace map; in particular, find the asymptotics of the Hausdorf...
In this survey, we review recent results concerning the canonical dispersive flow e^(itH) led by a S...
In this Dissertation thesis the spectral theory of Schrödinger operators modeling quasicrystals in d...
We study two topics in the theory of Schr\"odinger operators:1. We establish bounds on the density o...
This article contains and develops the results of hal-00765928We look at the long-time behaviour of ...
AbstractWe investigate the large time behaviour of various solutions of the Schrödinger equation in ...
We consider quasiperiodic Jacobi and Schr\"odinger operators of both a single- and multi-frequency. ...
To explain the origin of quantum behavior, we propose a fractal calculus to describe the non-local p...
We study fractal dimension properties of singular Jacobi operators. We prove quantitative lower spec...
International audienceIn this chapter, we study some aspects of the chaotic behaviour of the time ev...
Abstract. We study the spectrum of the Fibonacci Hamiltonian and prove upper and lower bounds for it...
We study the spectrum of the Fibonacci Hamiltonian and prove upper and lower bounds for its fractal ...
After nearly one hundred years after its origins, foundational quantum mechanics remains one of the ...
The open problem Study the Thue-Morse trace map; in particular, find the asymptotics of the Hausdorf...
AbstractWe study relations between quantum dynamics and spectral properties, concentrating on spectr...
The open problem Study the Thue-Morse trace map; in particular, find the asymptotics of the Hausdorf...
In this survey, we review recent results concerning the canonical dispersive flow e^(itH) led by a S...
In this Dissertation thesis the spectral theory of Schrödinger operators modeling quasicrystals in d...
We study two topics in the theory of Schr\"odinger operators:1. We establish bounds on the density o...
This article contains and develops the results of hal-00765928We look at the long-time behaviour of ...
DOI
Add to ORKG