St Petersburg University

output

20022015

most citedBayesHammer: Bayesian clustering for error correction in single-cell sequencing

501 citations

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Showing 2014Show all

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math.CV2014

Complementability of exponential systems

Yurii Belov

We prove that any incomplete system of complex exponentials ${e^{i λ_{n} t}}$ in $L^{2} (- π, π)$ is a subset of some complete and minimal system of exponentials. In addition, we prove a…

math.FA2014

Symmetric interpolatory dual wavelet frames

A. V. Krivoshein

For any symmetry group $H$ and any appropriate matrix dilation we give an explicit method for the construction of $H$ -symmetric refinable interpolatory refinable masks which satisf…

math.AP2014

On the higher-dimensional harmonic analog of the Levinson log log theorem

Alexander Logunov

Let $M : (0, 1) \to [e, + \infty)$ be a decreasing function such that $0 \int 1 lo g lo g M (y) d y < + \infty$ . Consider the set $H_{M}$ of all functions $u$ harmonic in $P:=\{(…

math.ST2014

Tests of exponentiality based on Arnold-Villasenor characterization, and their efficiencies

M. Jovanovic, B. Milosevic, Ya. Yu. Nikitin +2

We propose two families of scale-free exponentiality tests based on the recent characterization of exponentiality by Arnold and Villasenor. The test statistics are based on suitabl…