Far Eastern Mathematical Journal

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Probability and deterministic problems of minimal interval


G. Sh. Tsitsiashvili

2009, issue 1-2, . 190193


Abstract
A problem of a minimal interval between neighbor points appears in different applications: in the solid state physics, in the surface physics, in the mathematical economics, in the operations research and etc. From a mathematical point of view these problems are sufficiently substandard and demand a creation of special approaches. In this paper as probability so deterministic formulations of this problem are considered. Original algorithms of the problem solution and asymptotic formulas are constructed.

Keywords:
a minimal interval problem, the Bellman equation, the Karlin theorem

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References

[1] S. Karlin, Osnovy teorii sluchajnyx processov, Mir, M., 1971.

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