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Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian
Robin Laplacian Eigenvalues Optimisation
2012/4/18
We consider the problem of minimising the $n^{th}-$eigenvalue of the Robin Laplacian in $\mathbb{R}^{N}$. Although for $n=1,2$ and a positive boundary parameter $\alpha$ it is known that the minimiser...
One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps
generalized Choi maps One parameter family Quantum Physics
2011/10/8
Abstract: In the recent paper [Chru\'{s}ci\'{n}ski and Wudarski, arXiv:1105.4821], it was conjectured that the entanglement witnesses arising from some generalized Choi maps are optimal. We show that ...
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem
Localization Optimal Entropy Production Convergence rates the Central Limit Theorem
2011/7/27
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem.
Judging Model Reduction of Chaotic Systems via Optimal Shadowing Criteria
Shadowing Criteria Chaotic Systems
2010/4/2
A common goal in the study of high dimensional and complex system is to model the system by a low order representation. In this letter we propose a general approach for assessing the quality of a redu...