On a continuous spectral algorithm for simulating non-stationary Gaussian random fields
Sign Up to like & getrecommendations! Published in 2017 at "Stochastic Environmental Research and Risk Assessment"
DOI: 10.1007/s00477-017-1402-3
Abstract: This paper presents an algorithm for simulating Gaussian random fields with zero mean and non-stationary covariance functions. The simulated field is obtained as a weighted sum of cosine waves with random frequencies and random phases,… read more here.
Keywords: random fields; stationary gaussian; algorithm simulating; non stationary ... See more keywords
Stationary Gaussian entanglement between levitated nanoparticles
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DOI: 10.1088/1367-2630/abcce6
Abstract: Coherent scattering of photons is a novel mechanism of optomechanical coupling for optically levitated nanoparticles promising strong, versatile interactions with light and between nanoparticles. We show that it allows efficient deterministic generation of Gaussian entanglement… read more here.
Keywords: gaussian entanglement; mode; stationary gaussian; levitated nanoparticles ... See more keywords
On the Probability That a Stationary Gaussian Process With Spectral Gap Remains Non-negative on a Long Interval
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DOI: 10.1093/imrn/rny248
Abstract: Let $f$ be a zero mean continuous stationary Gaussian process on $\mathbb{R}$ whose spectral measure vanishes in a $\delta $-neighborhood of the origin. Then, the probability that $f$ stays non-negative on an interval of length… read more here.
Keywords: probability stationary; stationary gaussian; gaussian process; non negative ... See more keywords
Extrema of rescaled locally stationary Gaussian fields on manifolds
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DOI: 10.3150/16-bej913
Abstract: Given a class of centered Gaussian random fields $\{X_{h}(s),s\in\mathbb{R}^{n},h\in(0,1]\}$, define the rescaled fields $\{Z_{h}(t)=X_{h}(h^{-1}t),t\in\mathcal{M}\}$, where $\mathcal{M}$ is a compact Riemannian manifold. Under the assumption that the fields $Z_{h}(t)$ satisfy a local stationary condition, we study… read more here.
Keywords: extrema rescaled; stationary gaussian; locally stationary; rescaled locally ... See more keywords