A b s t r a c t. Let Wp,q be the Fourier modulation space FMp,q and let ∗σ be the twisted convolution. If a ∈ D′ such that (a ∗σ φ,φ) ≥ 0 for every φ ∈ C∞ 0 , and χ ∈ S such that χ(0) 6= 0, then we prove that χa ∈ Wp,∞ iff a ∈ Wp,∞. We also present some extensions to the case when weighted Fourier modulation spaces are used. AMS Mathematics Subject Classification (2000): 47B65, 35A21, 35S05

Yields and spectra of Σ(1385) are measured in p+p, d+Au and Au+Au collisions at √ s NN =200 GeV. The nuclear modification factors in d + Au collisions are presented. The pT dependent medium effects are investigated via the nuclear modification factors. The implications of these results on various models are discussed.

In the manuscript “Multivariable Mendelian Randomization: the Use of Pleiotropic Genetic Variants to Estimate Causal Effects” (1), we commented on an analysis method recently used in the literature (2), which we referred to as a “regression-based method.” We presented simulation results showing that the method had some weaknesses—in particular, not estimating the same parameter as that from a 2...

A weighted string over an alphabet of size σ is a string in which a set of letters may occur at each position with respective occurrence probabilities. Weighted strings, also known as position weight matrices or uncertain sequences, naturally arise in many contexts. In this article, we study the problem of weighted string matching with a special focus on average-case analysis. Given a weighted ...

This note considers the problem of sampling from the set of weighted independent sets of a graph with maximum degree ∆. For a positive fugacity λ, the weight of an independent set σ is λ|σ|. Luby and Vigoda proved that the Glauber dynamics, which only changes the configuration at a randomly chosen vertex in each step, has mixing time O(n log n) when λ < 2 ∆−2 for triangle-free graphs. We extend...

BACKGROUND Geographically weighted regression (GWR) is a modelling technique designed to deal with spatial non-stationarity, e.g., the mean values vary by locations. It has been widely used as a visualization tool to explore the patterns of spatial data. However, the GWR tends to produce unsmooth surfaces when the mean parameters have considerable variations, partly due to that all parameter es...

An experimental realization of the entanglement-assisted “Guess My Number” protocol for the reduction of communication complexity, introduced by Steane and van Dam, would require producing and detecting three-qubit GHZ states with an efficiency η > 0.70, which would require single photon detectors of efficiency σ > 0.89. We propose a modification of the protocol which can be translated into a r...

A modification of the Abelian Duality transformations is proposed guaranteeing that a (not necessarily conformally invariant) σ-model be quantum equivalent (at least up to two loops in perturbation theory) to its dual. This requires a somewhat non standard perturbative treatment of the dual σ-model. Explicit formulae of the modified duality transformation are presented for a special class of bl...

In this paper we find upper and lower bounds for approximation numbers of compact composition operators on the weighted Hardy spaces Hσ under some conditions on the weight function σ.