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Nearby variables with nearby conditional laws and a strong approximation theorem for Hilbert space valued martingales
In this paper we focus on sequences of random vectors which do not admit a strong approximation of their partial sums by sums of independent random...
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The hydrodynamic limit for a system with interactions prescribed by Ginzburg-Landau type random Hamiltonian
As a microscopic model we consider a system of interacting continuum like spin field over R d . Its evolution law is determined by the Ginzburg-Landau...
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Describing functions: Atomic decompositions versus frames
The theory of frames and non-orthogonal series expansions with respect to coherent states is extended to a general class of spaces, the so-called...
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Generalized Gamma convolutions and complete monotonicity
Let E be the class of pdf 's f on (0,∞) such that, for each u >0, f(uv) f (u/v) is completely monotone as a function of w = v + v −1 . This class includes many...
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An implementation of Karmarkar's algorithm for linear programming
This paper describes the implementation of power series dual affine scaling variants of Karmarkar's algorithm for linear programming. Based on a...
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Optimality Criteria in Design of Experiments
Experimentation is an essential part of any problem of decision-making. Whenever one is faced with the necessity of accepting one out of a set of...
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On the formation of circulating patterns of excitation in anisotropic excitable media
We present a model of excitable media with the feature that it has a vulnerable phase during which a premature current stimulus will result in the...
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Reinforcement by a thin layer with oscillating thickness
We study a singular perturbation problem involving variational functionals that nearly degenerate on a thin layer with rapidly varying thickness. One...
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Computerized Electrocardiography and Fuzzy Sets
This paper describes a system for the analysis of the diagnostic electrocardiogram (ECG). The main emphasis is placed on the problems of ECG...
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Improving the accuracy of collocation solutions of Volterra integral equations of the first kind by local interpolation
We study the numerical solution of Volterra integral equations of the first kind by collocation methods using piecewise polynomials of degree p . We...
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Error Analysis, Statistics and Other Uncertainties Associated with Linearity
Many traits of humankind have been suggested as being characteristics of the species. It seems to me that the ability and/or desire to plan for...
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Fibrillation of a cardiac region and the tachycardia mode of a two-oscillator system
The interaction between two nonlinear oscillators is discussed, each one representing a region of the heart and characterized by a specific type of...
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Extraction of weak bioelectrical signals by means of singular value decomposition
Most measurements of human electrical activity contain large amounts of electrical heart activity (electrocardiogram, ECG). Whenever other sources of...