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Année
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Publications
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Files |
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Faure Henri, Pillichshammer Friedrich, Pirsic Gottlied.
L2 discrepancy of linearly digit scrambled Zaremba point sets.
Preprint 2011. |
228 k
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AP |
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Faure Henri, Lemieux Christiane, Wang Xiaoheng.
Extensions of Atanassov’s methods for Halton sequences.
Preprint 2011. |
169 k
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AP |
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Faure Henri, Pillichshammer Friedrich.
L2 discrepancy of generalized Zaremba point sets.
A paraître dans Journal de Théorie des Nombres de Bordeaux, 2010. |
220 k
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ASCL |
| 2010 |
Faure Henri, Lemieux Christiane.
Improved Halton sequences and discrepancy bounds.
Monte Carlo Methods Appl. 16, 231--250, 2010. |
980 k
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ACL |
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Faure Henri, Pillichshammer F., Pirsic G., Schmid W.
L2 discrepancy of generalized two-dimensional Hammersley point sets scrambled with arbitrary permutations.
Acta Arith., 141.4, 395–418, 2010. |
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ACL |
| 2009 |
Faure Henri, Lemieux C.
Generalized Halton sequences in 2008: a comparative study.
ACM Trans. Model. Comp. Sim. 19, Article 15:1--31, 2009.
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HFL08 |
ACL |
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Faure Henri, Pillichshammer F.
L2 discrepancy of two dimensional digitally shifted Hammersley point sets in base b.
Proceedings of Monte Carlo and Quasi-Monte Carlo Methods 2008, Springer, 2009, 355--368, 2009. |
191 k
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ACTI |
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Lemieux C., Faure Henri.
New perspectives on (0, s)−sequences.
Proceedings of “MCQMC 2008”, Eds. P. L’Ecuyer and A. Owen, Springer, 113–130, 2009. |
mcqmc
08 |
ACTI |
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Faure Henri, Pillichshammer Friedrich.
Lp discrepancy of generalized two-dimensional Hammersley point sets.
Monatsh. Math. 158, no. 1, 31--61, 2009. |
231
k
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ACL |
| 2008 |
Faure Henri.
Star extreme discrepancy of generalized two-dimensional Hammersley point sets.
Uniform Distribution Theory 3, no. 2, 45–65, 2008. |
Fau08-2 |
ACL |
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Wang X., Lemieux C., Faure Henri.
A note on Atanassov’s discrepancy bound for Halton sequences.
Technical report, Department of Statistics and Actuarial Science, University of Waterloo, 2008. |
08-04 |
ASCL |
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Faure Henri.
Improvements on low discrepancy one-dimensional sequences and two-dimensional point sets.
Proceedings of “MCQMC 2006”, Eds. A. Keller, S. Heinrich and H. Niederreiter, Springer, p. 327-341, 2008. |
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ACTI |
| 2007 |
Faure Henri.
On the L2 discrepancy of van der Corput sequences.
Proceedings of the Sixth International Congress on Industrial and Applied Mathematics (ICIAM07), PAMM Proc. Appl. Math. Mech. 7, 1022607-1022608, 2007. |
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ACTI |
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Faure Henri.
Van der Corput sequences towards general (0,1)-sequences in base b.
J. Théor. Nombres Bordeaux 19, no. 1, 125--140, 2007. |
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ACL |
| 2006 |
Faure Henri.
Selection criteria for (random) generation of digital (0,s)-sequences.
Monte Carlo and quasi-Monte Carlo methods 2004, 113--126, Springer, Berlin, 2006. |
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ACL |
| 2005 |
Faure Henri.
Irregularities of distribution of digital (0,1)-sequences in prime base.
Integers 5, no. 3, A7, 12 pp. (electronic), 2005. |
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Faure Henri.
Discrepancy and diaphony of digital (0,1)-sequences in prime base.
Acta Arith. 117, no. 2, 125--148, 2005. |
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| 2003 |
Tezuka Shu, Faure Henri.
I-binomial scrambling of digital nets and sequences. Information-Based Complexity Workshop (Minneapolis, MN, 2002).
J. Complexity 19, no. 6, 744--757, 2003. |
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| 2002 |
Faure Henri, Tezuka Shu.
Another random scrambling of digital (t,s)-sequences.
Monte Carlo and quasi-Monte Carlo methods, 2000 (Hong Kong), 242--256, Springer, Berlin, 2002 |
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| 2001 |
Faure
Henri.
Monte-Carlo and quasi-Monte-Carlo methods for numerical integration.
Combinatorial & computational mathematics (Pohang,
2000), 1--12, World Sci. Publishing, River Edge, NJ, 2001 |
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Faure
Henri
Variations on (0,s)-sequences. Complexity of multivariate problems (Kowloon, 1999).
J. Complexity 17, no. 4, 741--753, 2001 |
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| 2000 |
Faure
Henri
On the distribution of the sums of binomial coefficients modulo a prime,
Algebraic number theory and Diophantine analysis (Graz,
1998), 143--151, de Gruyter, Berlin. Full paper : Monatsh. Math. 131, 263-277,
2000 |
[Fau98] |
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| 1998 |
Faure Henri
Discrepancy lower bounds for special quasi-random sequences,
Monte Carlo and quasi-Monte Carlo methods 1996 (Salzburg),
232--237, Lecture Notes in Statist., 127, Springer, New York, 1998 |
[Fau97] |
| 1996 |
Faure
Henri and Chaix Henri
Minoration de discrépance en dimension deux [Lower bound for discrepancy
in two dimensions],
Acta Arith. 76, no. 2, 149--164, 1996 |
[CF96] |
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Xiao Yi-Jun and Faure Henri
Volume-discrepancy estimates in one and two dimensions,
Monte Carlo and quasi-Monte Carlo methods. Math. Comput.
Modelling 23, no. 8-9, 25--36, 1996 |
[FjX96] |
| 1995 |
Faure
Henri
Discrepancy lower bound for two-dimensional quasi-random sequences,
Proceedings of the Hong-Kong Workshop on QMC
Methods, 6 pages, 1995 |
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Faure
Henri
Discrepancy lower bound in two dimensions,
Monte Carlo and quasi-Monte Carlo methods in scientific
computing (Las Vegas, NV, 1994), 198--204, Lecture Notes in Statist., 106,
Springer, New York, 1995 |
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| 1994 |
Faure
Henri
Méthodes quasi-Monte Carlo multidimensionnelles [Multidimensional
quasi-Monte Carlo methods], Number theory, combinatorics
and applications to computer science (Marseille, 1991). Theoret. Comput.
Sci. 123, no. 1, 131--137, 1994 |
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Faure
Henri and Chaix Henri
Minoration de discrépance en dimension deux [Lower bound for discrepancy
in two dimensions]
C. R. Acad. Sci. Paris Sér. I Math. 319, no.
1, 1--4, 1994 |
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| 1993 |
Faure
Henri and Chaix Henri
Discrépance et diaphonie en dimension un [Discrepancy and diaphony
in dimension one],
Acta Arith. 63, no. 2, 103--141, 1993 |
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Faure
Henri
Suggestions for quasi-Monte Carlo users,
Finite fields, coding theory, and advances in communications
and computing (Las Vegas, NV, 1991), 269--278, Lecture Notes in Pure and
Appl. Math., 141, Dekker, New York, 1993 |
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Faure
Henri
Discrépance et diaphonie en dimension un [Discrepancy and diaphony
in dimension one],
Advances in number theory (Kingston, ON, 1991), 411--419,
Oxford Sci. Publ., Oxford Univ. Press, New York, 1993 |
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| 1992 |
Faure
Henri
Good permutations for extreme discrepancy,
J. Number Theory 42, no. 1, 47--56, 1992 |
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| 1991 |
Chaix
Henri and Faure Henri
Discrépance et diaphonie des suites de van der Corput généralisées.
III [Discrepancy and diaphony of the generalized van der Corput sequences.
III],
C. R. Acad. Sci. Paris Sér. I Math. 312, no.
11, 755--758, 1991 |
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| 1990 |
Faure
Henri
Using permutations to reduce discrepancy,
Random numbers and simulation (Lambrecht, 1988). J.
Comput. Appl. Math. 31, no. 1, 97--103, 1990 |
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Chaix
Henri and Faure Henri
Discrépance et diaphonie des suites de van der Corput généralisées
[Discrepancy and diaphony of generalized van der Corput sequences]
C. R. Acad. Sci. Paris Sér. I Math. 310, no.
6, 315--320, 1990 |
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Faure
Henri
Discrépance quadratique de la suite de van der Corput et de sa symétrique
[Quadratic discrepancy of the van der Corput sequence and its symmetrization],
Acta Arith. 55, no. 4, 333--350, 1990 |
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Chaix
Henri and Faure Henri
Discrépance et diaphonie des suites de van der Corput généralisées.
II [Discrepancy and diaphony of generalized van der Corput sequences. II],
C. R. Acad. Sci. Paris Sér. I Math. 311, no.
2, 65--68, 1990 |
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| 1989 |
Faure
Henri
Discrépance quadratique de suites infinies en dimension un [Quadratic
discrepancy of infinite sequences in dimension one],
Théorie des nombres (Quebec, PQ, 1987), 207--212,
de Gruyter, Berlin-New York, 1989 |
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| 1986 |
Faure
Henri
Lemme de Bohl pour les suites de van der Corput généralisées
[Bohl's lemma for generalized van der Corput sequences],
J. Number Theory 22, no. 1, 4--20, 1986 |
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Faure
Henri
On the star-discrepancy of generalized Hammersley sequences in two dimensions,
Monatsh. Math. 101, no. 4, 291--300, 1986 |
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| 1983 |
Faure
Henri
Étude des restes pour les suites de van der Corput généralisées
[Study of remainders for generalized van der Corput sequences],
J. Number Theory 16, no. 3, 376--394, 1983 |
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| 1982 |
Faure
Henri
Suites à faible discrépance en dimension s,
Journées Arithmétiques Françaises
à Exeter (1980), London Math. Society, Lectures Notes Series, p.
284-290, 1982 |
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Faure
Henri
Discrépance de suites associées à un système
de numération (en dimension s) [Discrepancy of sequences associated
with a number system (in dimension s)],
Acta Arith. 41, no. 4, 337--351, 1982 |
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| 1981 |
Faure
Henri
Discrépances de suites associées à un système
de numération (en dimension un) [Discrepancy of sequences associated
with a number system (in dimension one)],
Bull. Soc. Math. France 109, no. 2, 143--182,
1981 |
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| 1980 |
Faure
Henri
Amélioration d'un résultat de H.G. Meijer sur les suites
de Halton,
Publ.du Dép. de Math. de Limoges, 8 pages,1980 |
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| 1978 |
Faure
Henri
Discrépance de suites associées à un système
de numération [Discrepancy of sequences associated with a number
system],
C. R. Acad. Sci. Paris Sér. A-B 286, no. 6,
A293--A296, 1978 |
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Béjian
Robert and Faure Henri
Discrépance de la suite de Van der Corput [Discrepancy of the van
der Corput sequence],
C. R. Acad. Sci. Paris Sér. A-B 285 (1977),
no. 5, A313--A316 and also in Séminaire Delange-Pisot-Poitou, 19e
année: 1977/78, Théorie des nombres, Fasc. 1, Exp. No. 13,
14 pp., Secrétariat Math., Paris, 1978 |
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| 1974 |
Faure
Henri
Sur un théorème métrique d'équirépartition,
Proceedings des Journées Arithmétiques
Françaises de Bordeaux, 16 pages, 1974 |
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| 1971 |
Faure
Henri
Problème du cercle et harmoniques sphériques,
Colloque de Théorie des Nombres (Univ. de Bordeaux,
Bordeaux, 1969), pp. 59--70. Bull. Soc. Math. France, Mem. No. 25, Soc.
Math. France, Paris, 1971 |
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| 1969 |
Faure
Henri.
Résultat voisin d'un théorème de Landau sur le nombre
de points d'un réseau dans une hypersphère,
C. R. Acad. Sci. Paris Sér. A-B 269, A383--A386,
1969 |
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