@article{ITA_1983__17_4_365_0,
author = {Louchard, G.},
title = {The brownian motion : a neglected tool for the complexity analysis of sorted tables manipulation},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
volume = {17},
year = {1983},
pages = {365-385},
mrnumber = {743895},
zbl = {0523.68031},
language = {en},
url = {http://dml.mathdoc.fr/item/ITA_1983__17_4_365_0}
}
Louchard, G. The brownian motion : a neglected tool for the complexity analysis of sorted tables manipulation. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 17 (1983) pp. 365-385. http://gdmltest.u-ga.fr/item/ITA_1983__17_4_365_0/
1. , Higher Transcendal Functions, Vol. 1, McGraw-Hill, 1953. | MR 58756
2. and , A Robust Variation of Interpolation Search, Information Processing Letters, Vol. 10, No. 4 and 5, 1980, pp.198-201.
3. , Stochastic Problems in Physics and Astronomy, Review of Modern Physics, Vol. 15, 1943, pp. 57-59. | MR 8130 | Zbl 0061.46403
4. and , The Theory of Stochastic Processes, Chapman and Hall, 1980. | Zbl 0359.60004
5. , Justification and Extension of Doob's Heuristic Approach to the Kolmogorov-Smirnov Theorems, Annals of Mathematical Statistics, 1952, pp. 277-281. | MR 47288 | Zbl 0046.35103
6. , Heuristic Approach to the Kolmogorov-Smirnov Theorems, Annals of Mathematical and Statistics, Vol. 20, 1949, pp. 393-403. | MR 30732 | Zbl 0035.08901
7. , Analyse d'algorithmes de manipulation d'arbres et de fichiers, Cahiers du BURO, 1981, pp. 34-35.
8. , Interpolation and Interpolation-Hash Searching, Research Report CS-77-02, University of Waterloo, 1977. | MR 2716070
9. , and , An Algorithmic and Complexity Analysis of Interpolation Search, Acta Informatica, Vol. 13, 1980, pp. 39-52. | MR 557548 | Zbl 0405.68057
10. and , Diffusion Processes and their Sample Paths, Springer-Verlag, 1974. | MR 345224 | Zbl 0285.60063
11. , The Art of Computer Programming, Vol. 3, Addison-Wesley, 1973. | MR 445948 | Zbl 0302.68010
12. , and , Expected Complexity of Fast Search with Uniformly Distributed Data, Information Processing Letters, Vol. 13, No. 1, 1981, pp. 4-7. | MR 636310 | Zbl 0468.68061
13. , and , Interpolation Search. A Log Log N Search, Communications of the ACM, Vol. 21, No. 7, 1978, pp. 550-553. | MR 489109 | Zbl 0378.68029
14. , Mathematical Analysis of Combinatorial Algorithms in Probability and Computer Science, G. LATOUCHE and G. LOUCHARD, Ed., Academic Press (to appear). | MR 753477
15. and , The Complexity of Searching an Ordered Random Table, Proceedings of the 17th Annual Symposium on Foundations of Computer Science, 1976, pp. 173-177.