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Random Mapping Statistics (1990)  (Make Corrections)  (42 citations)
Philippe Flajolet Inria Rocquencourt, F-78150 Le Chesnay (France) Andrew M....
Lecture Notes in Computer Science



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Abstract: Random mappings from a finite set into itself are either a heuristic or an exact model for a variety of applications in random number generation, computational number theory, cryptography, and the analysis of algorithms at large. This paper introduces a general framework in which the analysis of about twenty characteristic parameters of random mappings is carried out: These parameters are studied systematically through the use of generating functions and singularity analysis. In... (Update)

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18:   Singularity Analysis of Generating Functions (context) - Flajolet, Odlyzko - 1990
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BibTeX entry:   (Update)

P. Flajolet and A.M. Odlyzko, Random Mapping Statistics, Lect. Notes in Comp. Sc. 434 (1990), 329--354. In Advances in Cryptology, Proceedings of Eurocrypt'89, J-J. Quisquater and J. Vandewalle Editors.. http://citeseer.ist.psu.edu/flajolet90random.html   More

@article{ flajolet90random,
    author = "P. Flajolet and A. M. Odlyzko",
    title = "Random mapping statistics",
    journal = "Lecture Notes in Computer Science",
    volume = "434",
    pages = "329--354",
    year = "1990",
    url = "citeseer.ist.psu.edu/flajolet90random.html" }
Citations (may not include all citations):
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249   volume 3: Sorting and Searching (context) - Knuth, of - 1973
216   volume 2: Seminumerical Algorithms (context) - Knuth, of - 1981
154   Combinatorial Enumeration (context) - Goulden, Jackson - 1983  ACM
98   Asymptotics and Special Functions (context) - Olver - 1974
66   the altitude of nodes in random trees (context) - Meir, Moon - 1978
61   Oxford University Press (context) - Titchmarsh, of - 1939
61   Asymptotic Methods in Analysis (context) - de Bruijn - 1958
46   MAPLE: Reference Manual (context) - Char, Geddes et al. - 1988
34   Ordered cycle lengths in a random permutation (context) - Shepp, Lloyd - 1966
32   A Monte Carlo method for factorization (context) - Pollard - 1975
20   Probability distributions related to random mappings (context) - Harris - 1960
20   The average height of binary trees and other simple trees (context) - Flajolet, Odlyzko - 1982  DBLP
19   Gaussian limiting distributions for the number of components.. (context) - Flajolet, Soria - 1989  ACM
19   How easy is collision search (context) - Quisquater, Delescaille - 1989  ACM
16   Random mappings with constraints on coalescence and number o.. (context) - Arney, Bender - 1982
15   Lambda--Upsilon--Omega: An assistant algorithms analyzer - Flajolet, Salvy et al. - 1989
15   Singularity analysis of generating functions (context) - Flajolet, Odlyzko - 1990  DBLP
14   emes d"enum (context) - Foata, g'en'eratrice et al. - 1974
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13   Optimization Software Inc (context) - Kolchin - 1986
13   Factorization of the eighth Fermat number (context) - Brent, Pollard - 1981
13   The first cycles in an evolving graph (context) - Flajolet, Knuth et al. - 1989  ACM
9   Periodic oscillations of coefficients of power series that s.. (context) - Odlyzko - 1982
8   the distribution of the number of vertices in strata of a ra.. (context) - Proskurin - 1973
8   Toward a theory of Pollard's rho--method (context) - Bach - 1989
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7   Analytic Functions (context) - Evgrafov - 1966
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4   es sciences, Universit (context) - Soria, pour et al. - 1989
4   A class of random mappings (context) - Kalugin - 1988
4   Julia sets and bifurcation diagrams for exponential maps (context) - Devaney - 1984
4   Alas: un syst`eme d'analyse alg'ebrique (context) - Zimmermann - 1989
3   Dynamics of entire maps (context) - Devaney
3   Australian Journal of Mathematics (context) - R'enyi, Szekeres et al. - 1967
2   Limit theorems concerning random mapping patterns (context) - Mutafciev - 1988
2   On random mappings with constraints on the number of cycles (context) - Pavlov - 1988
2   Weighted random mappings; properties and applications (context) - Broder - 1985
2   an equation in a symmetric semigroup (context) - Pavlov - 1988
2   Components and cycles of a random function (context) - Delaurentis - 1988  ACM   DBLP
2   Lambda--Upsilon--Omega (context) - Flajolet, Salvy et al. - 1989
2   Random mappings with bounded height (context) - Sachkov - 1973
2   Transactions of the American Mathematical Society (context) - Purdom, Williams et al. - 1968
2   Mickiewicz University (context) - Jaworski, PhD - 1985
2   Other cycling tests for DES (context) - Quisquater, Delescaille - 1988
2   On some stochastic problems of discrete mathematics (context) - Mutafciev - 1984



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