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Robust Design of Slow-Light Tapers in Periodic Waveguides
robust optimization PDE-constrained optimization shape optimization coupling taper
2015/7/9
This paper concerns the design of tapers for coupling power between uniform and slow-light periodic waveguides. New optimization methods are described for designing robust tapers, which not only perfo...
Light tails: Gibbs conditional principle under extreme deviation
Light tails Gibbs conditional principle extreme deviation
2013/6/14
Let $X_{1},..,X_{n}$ denote an i.i.d. sample with light tail distribution and $S_{1}^{n}$ denote the sum of its terms; let $a_{n}$ be a real sequence\ going to infinity with $n.$\ In a previous paper ...
Let X(t) t 0 ,X(0) = 0, be a L´evy process with spectral L´evy measure . Assuming that ((−1, 0)) < 1 and the right tail of is light, we show that in the presence of Brownian co...
Cowles commission structural equation approach in light of nonstationary time series analysis
Cowles commission structural equation approach nonstationary time series analysis
2010/4/27
We review the advancement of nonstationary time series analysis
from the perspective of Cowles Commission structural equation approach.
We argue that despite the rich repertoire nonstationary time s...