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Evaluation of a constant associated with a parking problem

Authors: M. Lal and P. Gillard
Journal: Math. Comp. 28 (1974), 561-564
MSC: Primary 65D20
MathSciNet review: 0341814
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Abstract: A constant associated with a random space filling problem is computed to 19D. This is achieved by numerically solving an integral-difference equation.

References [Enhancements On Off] (What's this?)

  • [1] Alfréd Rényi, On a one-dimensional problem concerning random space filling, Magyar Tud. Akad. Mat. Kutató Int. Közl. 3 (1958), no. no 1/2, 109–127 (Hungarian, with Russian and English summaries). MR 0104284
  • [2] A. Dvoretzky and H. Robbins, On the “parking” problem, Magyar Tud. Akad. Mat. Kutató Int. Közl. 9 (1964), 209–225 (English, with Russian summary). MR 0173275
  • [3] J. J. A. Beenakker, The Differential-Difference Equation $ \alpha xf'(x) + f(x - 1) = 0$, Ph.D. Thesis, Technische Hogeschool, Eindhoven, The Netherlands, 1966.
  • [4] Ilona Palásti, On some random space filling problems, Magyar Tud. Akad. Mat. Kutató Int. Közl. 5 (1960), 353–360 (English, with Russian summary). MR 0146947
  • [5] Mohan Lal & Paul Gillard, "Numerical solution of two differential-difference equations on analytic theory of numbers," Conference on Numerical Solution of Differential Equations, Lecture Notes in Math., vol. 109, Springer-Verlag, Berlin and New York, 1969, pp. 179-187.
  • [6] Mathematical methods for digital computers, John Wiley & Sons, Inc., New York-London, 1960. MR 0117906

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Keywords: Differential-difference equation, random space filling
Article copyright: © Copyright 1974 American Mathematical Society