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Bulgarian Digital Mathematics Library at IMI-BAS
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  • An Effective Method for Constructing Data Structures Solving an Array Maintenance Problem

    In this paper a constructive method of data structures solving an array maintenance problem is offered. These data structures are defined in terms of a family of digraphs which have previously been defined, representing solutions for this problem. We present as well a prototype of the method in Haskell.

    Experiences on Application Generators

    The National Institute for Statistics is the organism responsible for acquiring economical data for governmental statistics purposes. Lisbon agreements establish a framework in which this acquisition process shall be available through Internet, so each survey should be considered as a little software project to be developed and maintained. Considering the great amount of different surveys and all changes produced per year on each make impossible this task. An application generator...

    Tail Inference for a Law in a Max-Semistable Domain of Attraction

    2000 Mathematics Subject Classification: 62G32, 62G05. The class of max-semistable distributions appeared in the literature of extremes, in a work of Pancheva (1992), as the limit distribution of samples with size growing geometrically with ratio r > 1. In Canto e Castro et al. (2002) it is proved that any max-semistable distribution function has a logperiodic component and can be characterized by the period therein, by a tail index parameter and by a real function y representing a repetit...

    Discrete Models of Time-Fractional Diffusion in a Potential Well

    Mathematics Subject Classification: 26A33, 45K05, 60J60, 60G50, 65N06, 80-99. By generalization of Ehrenfest’s urn model, we obtain discrete approximations to spatially one-dimensional time-fractional diffusion processes with drift towards the origin. These discrete approximations can be interpreted (a) as difference schemes for the relevant time-fractional partial differential equation, (b) as random walk models. The relevant convergence questions as well as the behaviour ...

    On Principle Eigenvalue for Linear Second Order Elliptic Equations in Divergence Form

    2002 Mathematics Subject Classification: 35J15, 35J25, 35B05, 35B50 The principle eigenvalue and the maximum principle for second-order elliptic equations is studied. New necessary and sufficient conditions for symmetric and nonsymmetric operators are obtained. Applications for the estimation of the first eigenvalue are given.
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