Abstract
An asymptotic analysis of list structures properties leads to limiting Gaussian Markovian processes. Several costs functions are shown to have asymptotic Normal distributions.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
ABRAMOWITZ, M. and STEGUE, I.A. "Handbook of mathematical functions", 1965, Dover Publications
BILLINGSLEY, P. "Convergence of probability measures", 1968, Wiley
CHUNG, K.L. "Excursions in Brownian Motion", Ark. Mat. 14, 1976, pp. 155–177
FELLER, W. "An introduction to probability theory and its applications", Vol.I, 1970, Wiley
FELLER, W. "An introduction to probability theory and its applications", Vol.II, 1971, Wiley
FLAJOLET, P. "Combinatorial aspects of continued fractions", Discr. Math. 32, 1980, pp. 125–161
FLAJOLET, P. "Analyse d'algorithmes de manipulation d'arbres et de fichiers", Cahiers du BURO, 1981
FLAJOLET, P. and ODLYZKO, A. "The average height of binary trees and other simple trees", J. Comp. Syst. Sc. 25, 2, 1982, pp. 171–213.
FLAJOLET, P., PUECH, C. and VUILLEMIN, J. "The analysis of simple list structures", to appear in Information Sc.: and Int. J.
FLAJOLET, P. and PRODINGER, H. "Register allocation for unary-binary trees", to appear in SIAM J. Comput.
GREENE, D.H. and KNUTH, D.E. "Hathematics for the analysis of algorithms", 1981, Birkhaüser
ITO, K. and Mc KEAN, H.P. Jr "Diffusion processes and their sample paths", Sec. Ed., 1976, Springer-Verlag
LOUCHARD, D., "The Brownian Motion: a neglected tool for the complexity analysis of sorted tables manipulations", RAIRO, Inf. Th. 17, 4, 1983, pp. 365–385
LOUCHARD, G. "Kac's formula, Levy's local time and Brownian excursion", J. Appl. Prob. 21, 1984, pp. 479–499.
LOUCHARD, G. "The Brownian excursion area: a numerical analysis", Comp. and Math. with Appl. 10, 6, 1984, pp. 413–417
LOUCHARD, G. "Brownian Motion and Algorithms Complexity", to appear in B.I.T.
LOUCHARD, G. "Random Walks, Gaussian Processes and List Structures", L.I.T. Technical Report No152
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Louchard, G. (1986). Random walks, gaussian processes and list structures. In: Franchi-Zannettacci, P. (eds) CAAP '86. CAAP 1986. Lecture Notes in Computer Science, vol 214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0022670
Download citation
DOI: https://doi.org/10.1007/BFb0022670
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16443-2
Online ISBN: 978-3-540-39783-0
eBook Packages: Springer Book Archive