Institut de Mathématiques de Luminy

BIBLIOGRAPHIE - Henri FAURE



Année
Publications
Files Type
2013 Faure Henri, Kritzer Peter.
New star discrepancy bounds for (t,m,s)-nets and (t,s)-sequences.
Monats. Math., DOI 10.1007/s00605-012-0470-1, january 2013.
PDF ACL
  Faure Henri, Pillichshammer Friedrich.
A generalization of NUT digital (0,1)-sequences and best possible lower bounds for the star discrepancy.
Acta Arith. 158, 321--340, doi:10.4064/aa158-4-2, 2013.
link ACL
2012 Faure Henri, Lemieux Christiane.
Improvements on the star discrepancy of (t, s)-sequences.
Acta Arith. 154.1, 61--78, 2012.
PDF ACL
  Faure Henri, Lemieux Christiane, Wang Xiaoheng.
Extensions of Atanassov’s methods for Halton sequences.
Proceedings of Monte Carlo and Quasi-Monte Carlo Methods 2010, Eds. L. Plastoka and H. Wozniakowski, Springer, 345--362, 2012.
PDF ACTI
2011 Faure Henri, Pillichshammer Friedrich, Pirsic Gottlied.
L2 discrepancy of linearly digit scrambled Zaremba point sets.
Uniform Distribution Theory 6.2, 59--81, 2011. 

228 k
ACL
  Faure Henri, Pillichshammer Friedrich.
L2 discrepancy of generalized Zaremba point sets.
J. Théor. Nombres Bordeaux 23, 121--136, 2011.

220 k
ACL
2010 Faure Henri, Lemieux Christiane.
Improved Halton sequences and discrepancy bounds.
Monte Carlo Methods Appl. 16, 231--250, 2010.

980 k
ACL
  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.
PDF 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.
PDF ACL
  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
ACTI
  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.
PDF ACTI
  Faure Henri, Pillichshammer Friedrich.
Lp discrepancy of generalized two-dimensional Hammersley point sets.
Monatsh. Math. 158, no. 1, 31--61, 2009.

231 k
ACL
2008 Faure Henri.
Star extreme discrepancy of generalized two-dimensional Hammersley point sets.
Uniform Distribution Theory 3, no. 2, 45–65, 2008.
PDF ACL
  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.
PDF ASCL
  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.
PDF 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.
PDF ACTI
  Faure Henri.
Van der Corput sequences towards general (0,1)-sequences in base b.
J. Théor. Nombres Bordeaux 19, no. 1, 125--140, 2007.
PDF 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.

PDF ACL
2005 Faure Henri.
Irregularities of distribution of digital (0,1)-sequences in prime base.
Integers 5, no. 3, A7, 12 pp. (electronic), 2005.
PS ACL
  Faure Henri.
Discrepancy and diaphony of digital (0,1)-sequences in prime base.
Acta Arith. 117, no. 2, 125--148, 2005.
PDF ACL
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.
PDF ACTI
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
  ACTI
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
PDF ACTI
  Faure Henri
Variations on (0,s)-sequences. Complexity of multivariate problems (Kowloon, 1999).
J. Complexity 17, no. 4, 741--753, 2001
PDF ACTI
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
PDF ACTI

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]
  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
 
  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
 
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
 
  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
 
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
 
  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
 
  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
 
1992 Faure Henri
Good permutations for extreme discrepancy,
J. Number Theory 42, no. 1, 47--56, 1992
 
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
 
1990 Faure Henri
Using permutations to reduce discrepancy,
Random numbers and simulation (Lambrecht, 1988). J. Comput. Appl. Math. 31, no. 1, 97--103, 1990
 
  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
 
  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
 
  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
 
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
 
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
 
  Faure Henri
On the star-discrepancy of generalized Hammersley sequences in two dimensions,
Monatsh. Math. 101, no. 4, 291--300, 1986
 
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
 
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
 
  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
 
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
 
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
 
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
 
  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
 
1974 Faure Henri
Sur un théorème métrique d'équirépartition,
Proceedings des Journées Arithmétiques Françaises de Bordeaux, 16 pages, 1974
 
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
 
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
 



Last update : april 29, 2013, EL.