Displaying similar documents to “Opening gaps in the spectrum of strictly ergodic Schrödinger operators”

Image sampling with quasicrystals.

Grundland, Mark, Patera, Jirí, Masáková, Zuzana, Dodgson, Neil A. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Genealogies of regular exchangeable coalescents with applications to sampling

Vlada Limic (2012)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

This article considers a model of genealogy corresponding to a regular exchangeable coalescent (also known as 𝛯 -coalescent) started from a large finite configuration, and undergoing neutral mutations. Asymptotic expressions for the number of active lineages were obtained by the author in a previous work. Analogous results for the number of active mutation-free lineages and the combined lineage lengths are derived using the same martingale-based technique. They are given in terms of convergence...

Optimal random sampling for spectrum estimation in DASP applications

Andrzej Tarczynski, Dongdong Qu (2005)

International Journal of Applied Mathematics and Computer Science

Similarity:

In this paper we analyse a class of DASP (Digital Alias-free Signal Processing) methods for spectrum estimation of sampled signals. These methods consist in sampling the processed signals at randomly selected time instants. We construct estimators of Fourier transforms of the analysed signals. The estimators are unbiased inside arbitrarily wide frequency ranges, regardless of how sparsely the signal samples are collected. In order to facilitate quality assessment of the estimators, we...

Fixed precision optimal allocation in two-stage sampling

Wojciech Niemiro, Jacek Wesołowski (2001)

Applicationes Mathematicae

Similarity:

Two-stage sampling schemes arise in survey sampling, especially in situations when the complete update of the frame is difficult. In this paper we solve the problem of fixed precision optimal allocation in two special two-stage sampling schemes. The solution is based on reducing the original question to an eigenvalue problem and then using the Perron-Frobenius theorem.

Asymptotic sampling formulae for 𝛬 -coalescents

Julien Berestycki, Nathanaël Berestycki, Vlada Limic (2014)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We present a robust method which translates information on the speed of coming down from infinity of a genealogical tree into sampling formulae for the underlying population. We apply these results to population dynamics where the genealogy is given by a 𝛬 -coalescent. This allows us to derive an exact formula for the asymptotic behavior of the site and allele frequency spectrum and the number of segregating sites, as the sample size tends to ∞ . Some of our results hold in the case of...