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Abstract: We obtain new results regarding the precise average-- case analysis of the main quantities that intervene in algorithms of a broad Euclidean type. We develop a general framework for the analysis of such algorithms, where the average-case complexity of an algorithm is related to the analytic behaviour in the complex plane of the set of elementary transformations determined by the algorithms. The methods rely on properties of transfer operators suitably adapted from dynamical systems theory and... (Update)
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BibTeX entry: (Update)
@misc{ vall-digits,
author = "Brigitte Vallée",
title = "Digits and Continuants in Euclidean Algorithms. Ergodic versus Tauberian
Theorems",
url = "citeseer.ist.psu.edu/489610.html" }
Citations (may not include all citations):2003 The art of Computer programming (context) - Knuth - 1998
584 Perturbation Theory for Linear Operators (context) - Kato - 1980
144 Thermodynamic formalism (context) - Ruelle - 1978
137 Universal codeword sets and representations of the integers (context) - Elias - 1975
78 Ergodic Theory and Information (context) - Billingsley - 1965
57 Exact real computer arithmetic with continued fractions (context) - Vuillemin - 1990 ACM DBLP
30 Dynamical Zeta Functions for Piecewise Monotone Maps of the .. (context) - Ruelle - 1994
28 Produits tensoriels topologiques et espaces nucl'eaires (context) - Grothendieck - 1955
25 Symbolic Dynamics and Hyperbolic Spaces (context) - Bedford, Keane et al. - 1991
25 An average-case analysis of the Gaussian algorithm for latti.. (context) - Daud'e, Flajolet et al. - 1997 ACM
23 University of Chicago Press (context) - Khinchin, Fractions
21 Composition operators and classical function theory (context) - Shapiro - 1993
20 La th'eorie de Fredholm (context) - Grothendieck
19 Continued fractions and related transformations (context) - Mayer - 1991
17 Analysis of the subtractive algorithm for greatest common di.. (context) - Yao, Knuth - 1975
15 Theoretical Computer Science (context) - Flajolet, Vall'ee et al. - 1998 ACM
15 The number of steps in the Euclidean algorithm (context) - Dixon - 1970
14 i function related to the continued fraction transformation (context) - Mayer - 1976
13 The number of steps in the Euclidean algorithm (context) - Hensley - 1994
13 Dynamics of the Binary Euclidean Algorithm: Functional Analy.. (context) - Vall'ee - 1998 DBLP
12 a la th'eorie analytique des nombres (context) - Tenenbaum - 1990
11 Soviet Mathematical Doklady (context) - Babenko, of - 1978
11 the average length of a class of continued fractions (context) - Heilbronn - 1969
11 Artificial Intelligence Laboratory (context) - Beeler, Gosper et al. - 1972
11 Analytic Combinatorics (context) - Flajolet, Sedgewick
10 Analysis of the Binary Euclidean algorithm (context) - Brent - 1976
9 ange, G'en'eralisation du Th'eor`eme d'Ikehara (context) - Del - 1954
9 Oxford University Press (context) - Lorch, Theory - 1962
9 Distribution of L'evy's constants for quadratic numbers (context) - Faivre - 1992
8 the theorem of Gauss-Kusmin--L'evy and a Frobenius-type theo.. (context) - Wirsing - 1974
8 Analytic analysis of algorithms - Flajolet - 1992 ACM DBLP
6 a contraintes p (context) - Vall'ee, continues - 1998
6 Average bit--complexity of Euclidean Algorithms - Akhavi, Vall'ee
6 Uber die mittlere Schrittazahl bei Divisionalgorithmen (context) - Rieger - 1978
5 Positive solutions of operator equations (context) - Krasnoselsky - 1964
3 Atti del Congresso Internationale dei Matematici (context) - Kuzmin, probleme - 1928
3 A Unifying Framework for the analysis of a class of Euclidea.. - Vall'ee - 2000 ACM DBLP
2 A series of Comprehensive Studies in Mathematics (context) - Cornfeld, Fomin et al. - 1982
2 Dynamical Analysis of a Class of Euclidean Algorithms - Vall'ee ACM DBLP
1 Further analysis of the binary Euclidean algorithm - Brent - 1999 ACM
1 to appear in Theoretical Computer Science (context) - in, Science - 2001
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