Zobrazeno 1 - 10
of 250
pro vyhledávání: '"Schlag, Wilhelm"'
Autor:
Han, Rui, Schlag, Wilhelm
We prove H\"older continuity of the Lyapunov exponent $L(\omega,E)$ and the integrated density of states at energies that satisfy $L(\omega,E)>4\kappa(\omega,E)\cdot \beta(\omega)\geq 0$ for general analytic potentials, with $\kappa(\omega,E)$ being
Externí odkaz:
http://arxiv.org/abs/2408.15962
Autor:
Han, Rui, Schlag, Wilhelm
We prove non-perturbative Anderson localization for quasi-periodic Jacobi block matrix operators assuming non-vanishing of all Lyapunov exponents. The base dynamics on tori $\mathbb{T}^b$ is assumed to be a Diophantine rotation. Results on arithmetic
Externí odkaz:
http://arxiv.org/abs/2309.03423
Autor:
Han, Rui, Schlag, Wilhelm
We prove non-perturbative Anderson localization and almost localization for a family of quasi-periodic operators on the strip. As an application we establish Avila's almost reducibility conjecture for Schr\"odinger operators with trigonometric potent
Externí odkaz:
http://arxiv.org/abs/2306.15122
We consider the harmonic map heat flow for maps from the plane to the two-sphere. It is known that solutions to the initial value problem exhibit bubbling along a well-chosen sequence of times. We prove that every sequence of times admits a subsequen
Externí odkaz:
http://arxiv.org/abs/2304.05927
Autor:
Luhrmann, Jonas, Schlag, Wilhelm
We consider the codimension one asymptotic stability problem for the soliton of the focusing cubic Klein-Gordon equation on the line under even perturbations. The main obstruction to full asymptotic stability on the center-stable manifold is a small
Externí odkaz:
http://arxiv.org/abs/2302.05273
Autor:
Han, Rui, Schlag, Wilhelm
In this paper we give a characterization of Avila's quantized acceleration of the Lyapunov exponent via the number of zeros of the Dirichlet determinants in finite volume. As applications, we prove $\beta$-H\"older continuity of the integrated densit
Externí odkaz:
http://arxiv.org/abs/2212.05988
Autor:
Luhrmann, Jonas, Schlag, Wilhelm
We establish the asymptotic stability of the sine-Gordon kink under odd perturbations that are sufficiently small in a weighted Sobolev norm. Our approach is perturbative and does not rely on the complete integrability of the sine-Gordon model. Key e
Externí odkaz:
http://arxiv.org/abs/2106.09605
Autor:
Schlag, Wilhelm
These lectures present some basic ideas and techniques in the spectral analysis of lattice Schrodinger operators with disordered potentials. In contrast to the classical Anderson tight binding model, the randomness is also allowed to possess only fin
Externí odkaz:
http://arxiv.org/abs/2104.14248
Publikováno v:
Analysis & PDE 17 (2024) 1887-1906
We prove the uniqueness of several excited states to the ODE $\ddot y(t) + \frac{2}{t} \dot y(t) + f(y(t)) = 0$, $y(0) = b$, and $\dot y(0) = 0$ for the model nonlinearity $f(y) = y^3 - y$. The $n$-th excited state is a solution with exactly $n$ zero
Externí odkaz:
http://arxiv.org/abs/2101.08356