Statistical bounds controlling the total fluctuations in mean and variance about a basic steady 6 state solution are developed for the truncated barotropic flows over topography. Statistical ensemble predic7 tion is an important topic in weather and climate research. Here the evolution of an ensemble of trajectories 8 is considered in the statistical instability analysis and is compared and con...

‎A topological space is called submaximal if each of its dense subsets is open and is called nodec if each of its nowhere dense ea subsets is closed‎. ‎Here‎, ‎we study a variety of spaces some of which have already been studied in $C(X)$‎. ‎Among them are‎, ‎most importantly‎, ‎quasi $P$-spaces and pointwise quasi $P$-spaces‎. ‎We obtain some new useful topological characterizations of quasi $...

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Abstract The construction of a spectral cocycle from the case one-dimensional substitution flows [A. I. Bufetov and B. Solomyak. A for systems translation flows. J. Anal. Math. 141 (1) (2020), 165–205] is extended to setting pseudo-self-similar tilings in ${\mathbb R}^d$ , allowing expanding similarities with rotations. pointwise upper Lyapunov exponent this used bound local dimension measures ...

Presentations \\ a la Coxeter" are given for all (irreducible) nite complex reeec-tion groups. They provide presentations for the corresponding generalized braid groups (still conjectural in some cases) which allow us to generalize some of the known properties of nite Coxeter groups (center of the braid group, construction of Hecke algebras). 1. Background from complex reflection groups For all...

On the category of bisimplicial sets there are different Quillen closed model structures associated to various definitions of fibrations. In one of them, which is due to Bousfield and Kan and that consists of seeing a bisimplicial set as a simplicial object in the category of simplicial sets, fibrations are those bisimplicial set maps such that each of the induced simplicial set maps is a Kan f...

The paper presents a system for locating a pun word. The developed method calculates a score for each word in a pun, using a number of components, including its Inverse Document Frequency (IDF), Normalized Pointwise Mutual Information (NPMI) with other words in the pun text, its position in the text, part-ofspeech and some syntactic features. The method achieved the best performance in the Hete...

This paper describes three systems from the University of Minnesota, Duluth that participated in the DiSCo 2011 shared task that evaluated distributional methods of measuring semantic compositionality. All three systems approached this as a problem of collocation identification, where strong collocates are assumed to be minimally compositional. duluth1 relies on the t-score, whereas duluth-2 an...

Probabilistic graphical models for continuous variables can be built out of either parametric or nonparametric conditional density estimators. While several research efforts have been focusing on parametric approaches (such as Gaussian models), kernel-based estimators are still the only viable and wellunderstood option for nonparametric density estimation. This paper develops a semiparametric e...

But what is it exactly? Let us motivate the problem in a mathematical way: consider the Gel’fand-Naimark duality theorem, a mathematical theorem which establishes a one-to-one correspondence between topological (Hausdorff) spaces X and commutative C∗-algebras A=C(X), where A is the algebra of continuous complex-valued functions f : X → C with the pointwise multiplication (f.g)(x) = f(x).g(x). G...