Existing algorithms for accurately estimating the f( ) singularity spectrum from the samples of generalized dimensions Dq of a multifractal chaotic time series use either linear interpolation of the known Dq values or nely sample the Dq curve. Also, the derivative in the expression for Legendre transform necessary to go from Dq to f( ) is approximated using rst order centered di erence equation...

In this article, we generalize the Wasserstein distance to measures with di erent masses. We study the properties of such distance. In particular, we show that it metrizes weak convergence for tight sequences. We use this generalized Wasserstein distance to study a transport equation with source, in which both the vector eld and the source depend on the measure itself. We prove existence and un...

A wide class of fast image compression algorithms are elaborated in this paper. Proposed technique di er from the known spectral algorithms so that it truncates generalized cepstrum rather than spectrum together with additional information on spectrum phase for increasing of compression rate.

Transforms of linear operators on bivariate generating functions can be used for constructing explicte solutions to certain generalized q di¤erence equations. The method is applied to counting intersecting pairs of lattice paths with weighted turns, a re…nement of the q-Narayana numbers.

N, N΄-3, 4-di(methylamino)-1, 2, 5-oxadiazole (1f) was prepared by dehydration of N, N΄-3, 4-di(methylamino)glyoxime (2f) in aqueous potassium hydroxid at 170-180 ˚C. Under similar conditions N, N΄-3, 4-di(benzylamino)-1, 2, 5-oxadiazole (1c) and N, N΄-3, 4-di(isopropylamino)...

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While smooth exact potential games are easily characterized in terms of the crossderivatives of players’payo¤ functions, an analogous di¤erentiable characterization of ordinal or generalized ordinal potential games has been elusive for a long time. In this paper, it is shown that the existence of a generalized ordinal potential in a smooth game with multidimensional strategy spaces is crucially...

A general framework for the least squares approximation of symmetric de nite pencils subject to generalized eigenvalues constraints is developed in this paper This approach can be adapted to di erent applications including the inverse eigenvalue problem The idea is based on the observation that a natural parameterization for the set of symmetric de nite pencils with the same generalized eigenva...

This paper studies non-parametric identi…cation and the testable implications of the Roy Model. Results in the literature are generalized in three directions. First, my model allows fully general functions that characterize the income of di¤erent occupations. Second, identi…cation is obtained using strictly weaker exclusion restrictions. For example, the model with additive heterogeneity is non...

We investigate the linear stability of unstably strati ed Poiseuille ow between two horizontal parallel plates under non-Boussinesq conditions. It is shown, that Squire's transformation can be used to reduce the three-dimensional stability problem to an equivalent two-dimensional one. The eigenvalue problem, consisting of the generalized Orr-Sommerfeld equations, is solved numerically using an ...