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We establish quantum dynamical lower bounds for a number of discrete one-dimensional Schrödinger operators. These dynamical bounds are derived from power-law upper...

We present an approach to quantum dynamical lower bounds for discrete one-dimensional Schrödinger operators which is based on power-law bounds on transfer matrices. It...

We consider Scrödinger operators in l^2(Z^+) with potentials of the form V(n)=S(n)+Q(n). Here S is a sparse potential: S(n)=n^{1-\eta \over 2 \eta}, 0<\eta <1,...

We establish quantum dynamical lower bounds for discrete one-dimensional Schrödinger operators in situations where, in addition to power-law upper bounds on solutions...

Let H be a self-adjoint operator on a separable Hilbert space ${\cal H}$, $\psi$ some vector and ${\cal B}$ an orthonormal basis of ${\cal H}$. We consider the...

International audience

International audience

International audience

International audience

International audience

International audience

International audience

International audience

International audience

International audience

International audience