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Pierre Liardet (1943–2014) Cover

Pierre Liardet (1943–2014)

Uniform distribution theory
Volume 11 (2016): Issue 1 (June 2016)
By: Cor Kraaikamp  
Open Access
|Jan 2017

References

  1. [L1] Ventadoux, M.—Liardet, P.: Transformations rationnelles laissant stables certains ensembles de nombres algébriques, C. R. Acad. Sci. Paris Sér. A–B, 269 (1969), A181–A 183.
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  2. [L2] Liardet, P.: Transformations Rationnelles et Ensembles Algébriques, Thèse 3e cycle, Université de Provence, Faculté des Sciences, 1970.
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  3. [L3] Liardet, P.: Sur les transformations polynomiales et rationnelles, in: Séminaire de Théorie des Nombres, 1971–1972 (Univ. Bordeaux I, Talence), Exp. No. 29. Lab. Théorie des Nombres, Centre Nat. Recherche Sci., Talence, 1972, pp. 20.
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  4. [L4] Liardet, P.: Sur une conjecture de W. Narkiewicz, C. R. Acad. Sci. Paris Sér. A–B, 274 (1972), A1836–A 1838.
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  5. [L5] Liardet, P.: Sur une conjecture de Serge Lang. C. R. Acad. Sci. Paris Sér. A, 279 (1974), 435–437.
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  6. [L6] Liardet, P.: Première Thèse: Sur la Stabilité Rationnelle ou Algébrique d’Eensembles de Nombres Algébriques; Deuxième Thèse: Difféomorphismes du Tore : Théorie Classique et Tthéorie Générique; Thèse d’État: Sciences Mathématiques, Université d’Aix-Marseille II, Faculté des Sciences, 1975.
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  7. [L7] Liardet, P.: Sur une conjecture de Serge Lang, in: Journées Arithmétiques de Bordeaux Conference, Univ. Bordeaux, 1974, Soc. Math. France, Paris, Astérisque, Nos. 24–25 (1975), pp. 187–210.
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  8. [L8] Kubota, K. K.—Liardet, P.: Réfutation d’une conjecture de W. Narkiewicz, C. R. Acad. Sci. Paris Sér. A–B, 282 no. 22, (1976), Ai, A1261–A 1264.
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  9. [L9] Liardet, P.: Résultats de stabilité algébrique, in: Séminaire de Théorie des Nombres, 1975–1976 (Univ. Bordeaux I, Talence), Exp. No. 24. Lab. Théorie des Nombres, Centre Nat. Recherche Sci., Talence, 1976, pp. 6.
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  10. [L10] Liardet, P.: Stabilité algébrique et topologies hilbertiennes, in: Séminaire Delange-Pisot-Poitou, 17e année (1975/76), Théorie des nombres: Fasc. 1, Exp. No. 8. Secrétariat Math., Paris, 1977, p. 9.
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  11. [L11] Liardet, P.: Répartition et ergodicité, in: Séminaire Delange-Pisot-Poitou, 19e année: 1977/78, Théorie des Nombres, Fasc. 1. Secrétariat Math., Paris, 1978, pp. Exp. No. 10, 12.
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  12. [L12] Liardet, P.: Discrépance sur le Cercle, Primaths 1, Univ. Marseille, 1979.
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  13. [L13] Liardet, P.: Propriétés génériques de processus croisés, Compositio Math. 39 (1981), no. 4, 303—325.
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  14. [L14] Coquet, J.—Liardet, P.: Répartitions uniformes des suites et indépendance statistique, Compositio Math., 51 no. 2, (1984), 215–236.
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  15. [L15] Coquet, J.—Liardet, P.: A metric study involving independent sequences, J. Analyse Math., 49 (1987), 15—53.10.1007/BF02792891
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  16. [L16] Liardet, P.: Regularities of distribution, Compositio Math. 61 (1987), no. 3, 267–293.
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  17. [L17] Jager, H.—Liardet, P.: Distributions arithmétiques des dénominateurs de convergents de fractions continues, Nederl. Akad. Wetensch. Indag. Math. 50 (1988), no. 2, 181–197.10.1016/S1385-7258(88)80026-X
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  18. [L18] Liardet, P.: Propriétés harmoniques de la numération suivant Jean Coquet, in: Colloque de Théorie Analytique des Nombres “Jean Coquet” (Marseille, 1985), Publ. Math. Orsay. Univ. Paris XI, 88 (1988), pp. 1–35.
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  19. [L19] Liardet, P.: Some metric properties of subsequences, Acta Arith. 55 (1990), no. 2, 119–135.
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  20. [L20] Allouche, J.-P.—Liardet, P.: Generalized Rudin-Shapiro sequences, Acta Arith., 60 (1991), no. 1, 1–27.
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  21. [L21] Gabriel, P.—Lemanczyk, M.—Liardet, P.: Ensemble d’invariants pour les produits croisés de Anzai, Mém. Soc. Math. France (N.S.) 47 (1991), 1—102.
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  22. [L22] Kraaikamp, C.–Liardet, P.: Good approximations and continued fractions, Proc. Amer. Math. Soc., 112 (1991), no. 2, 303–309.10.1090/S0002-9939-1991-1062392-7
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  23. [L23] Broglio, A.—Liardet, P.: Predictions with automata, in: Symbolic dynamics and its applications (New Haven, CT, 1991), Contemp. Math. Amer. Math. Soc. Vol. 135, Providence, RI, 1992, 111–124.10.1090/conm/135/1185084
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  24. [L24] Goodson, G. R.—Kwiatkowski, J.—Lemańczyk, M.—Liardet, P.: On the multiplicity function of ergodic group extensions of rotations, Studia Math. 102 (1992), no. 2, 157–174.
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  25. [L25] Lemańczyk, M.—Liardet, P.—Thouvenot, J.-P.: Coalescence of circle extensions of measure-preserving transformations, Ergodic Theory Dynam. Systems, 12 (1992), no. 4, 769–789.
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  26. [L26] Harari, S.—Liardet, P.: Rational interval maps and cryptography, in: Eurocode ’92 (Udine, 1992), CISM Courses and Lectures, Vol. 339, Springer, Vienna, 1993, pp. 185–200.10.1007/978-3-7091-2786-5_16
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  27. [L27] Kaminski, B.—Liardet, P.: Spectrum of multidimensional dynamical systems with positive entropy, Studia Math. 108 (1994), no. 1, 77–85.
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  28. [L28] Grabner, P. J.—Liardet, P.—Tichy, R. F.: Odometers and systems of numeration, Acta Arith. 70 (1995), 103–123.10.4064/aa-70-2-103-123
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  29. [L29] Kaminski, B.—Kowalski, Z. S.—Liardet, P.: On extremal and perfect σ-algebras for Zd-actions on a Lebesgue space, Studia Math. 124 (1997), no. 2, 173–178.
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  30. [L30] Liardet, P.—Volný, D.: Sums of continuous and differentiable functions in dynamical systems, Israel J. Math. 98 (1997), 29–60.10.1007/BF02937328
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  31. [L31] Liardet, P.—Stambul, P.: Algebraic computations with continued fractions, J. Number Theory 73 (1998), no. 1, 92–121.10.1006/jnth.1998.2274
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  32. [L32] Grabner, P. J.—Liardet, P.: Harmonic properties of the sum-of-digits function for complex bases, Acta Arith. 91, (1999), 329—349.10.4064/aa-91-4-329-349
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  33. [L33] Grabner, P. J.—Liardet, P.—Tichy, R. F.: Average case analysis of numerical integration, in: Advances in Multivariate Approximation (Witten-Bommerholz, 1998), Math. Res. Vol. 107, Wiley-VCH, Berlin, 1999, pp. 185–200.
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  34. [L34] Barat, G.—Downarowicz, T.—Iwanik, A.—Liardet, P.: Propriétés topologiques et combinatoires des échelles de numération. Colloquium Mathematicum, 84/85 (2000), 285–306.10.4064/cm-84/85-2-285-306
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  35. [L35] Kowalski, Z. S.—Liardet, P.: Genericity of the K-property for a class of transformations, Proc. Amer.Math. Soc., 128 (2000), no. 10, 2981–2988.10.1090/S0002-9939-00-05602-1
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  36. [L36] Liardet, P.—Stambul, P.: Séries de Engel et fractions continuées, J. Théor. Nombres Bordeaux, 12 (2000), no. 1, 37—68.
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  37. [L37] Cerruti, U.—Giacobini, M.—Liardet, P.: Prediction of binary sequences by evolving finite state machines, in: Proc. of the Fifth Conference on Artificial Evolution (EA-2001), (P.Collet, C. Fonlupt, J.-K. Hao, E. Lutton, and M. Schoenauer, eds.), LNCS Vol. 2310, Springer Verlag, Le Creusot, France, 2002 pp. 42–53.
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  38. [L38] Kátai, I.—Liardet, P.: Additive functions with respect to expansions over the set of Gaussian integers, Acta Arith., 99 (2001), no. 2, 173–182.10.4064/aa99-2-4
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  39. [L39] Barat, G.—Downarowicz, T.—Liardet, P.: Dynamiques assocées à une échelle de numération, Acta Arith. 103 (2002), 41–77.10.4064/aa103-1-5
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  40. [L40] Aupetit, S.—Liardet, P.—Slimane, M.: Evolutionary search for binary strings with low aperiodic auto-correlations, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 2936, Springer-Berlin, 2004, pp. 39–50.
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  41. [L41] Barat, G.—Liardet, P.: Dynamical systems originated in the Ostrowski alpha-expansion, Ann. Univ. Sci. Budapest. Sect. Comput. 24 (2004), 133–184.
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  42. [L42] Grabner, P. J.—Liardet, P.—Tichy, R. F.: Spectral disjointness of dynamical systems related to some arithmetic functions, Publ. Math. Debrecen 66 (2005), no. 1–2, 213–243.
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  43. [L43] Aupetit, S.—Monmarché, N.—Slimane, M.—Liardet, P.: An exponential representation in the API algorithm for hidden Markov models training, Lecture Notes in Comput. Sci. (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics., LNCS, Vol. 3871, Springer, Bellin, 2006, pp. 61–72.
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  44. [L44] Barat, G.—Berthé, V.—Liardet, P.—Thuswaldner, J.: Dynamical directions in numeration, Ann. Inst. Fourier (Grenoble), 56 (2006), no. 7, 1987–2092. Numération, pavages, substitutions.10.5802/aif.2233
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  45. [L45] Dajani, K.—Kraaikamp, C.—Liardet, P.: Ergodic properties of signed binary expansions, Discrete Contin. Dyn. Syst., 15 (2006) no. 1, 87–119.
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  46. [L46] Dekking, F. M.—Liardet, P.: On random walks in random scenery, in: Dynamics & stochastics IMS Lecture Notes Monogr. Ser., Vol. 48, Inst. Math. Statist., Beachwood, OH, 2006, pp. 47–52.10.1214/lnms/1196285807
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  47. [L47] Hellekalek, P.—Liardet, P.: The dynamics associated with certain digital sequences, in: Probability and Number Theory-Kanazawa 2005, Adv. Stud. Pure Math. Math. Soc. Japan, Tokyo 49 (2007), 105—131.
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  48. [L48] Drmota, M.—Grabner, P. J.—Liardet, P.: Block additive functions on the Gaussian integers, Acta Arith. 135 (2008), no. 4, 299–332.10.4064/aa135-4-1
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  49. [L49] Jebalia, M.—Auger, A.—Liardet, P.: Log-linear convergence and optimal bounds for the (1 + 1)-ES, in: Artificial Evolution, Lecture Notes in Comput. Sci. Vol. 4926, Springer, Berlin, 2008, pp. 207–218.
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  50. [L50] Abou, I.—Liardet, P.: Flots chaîînés, in: Proceedings of the Sixth Congress of Romanian Mathematicians, Vol. 1, Ed. Acad. Române, Bucharest, pp. 401–432.
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  51. [L51] Baláž, V.—Liardet, P.—Strauch, O.: Distribution functions of the sequence ϕ(M)/M, M ∈ (k, k + N] as k, N go to infinity, Integers 10 (2010), A53, 705—732.
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  52. [L52] Bonnecaze, A.—Liardet, P.: Efficient uniform k-out-of-n generators, in: Proceedings of the 5th International Conference on Systems and Networks Communications, ICSNC’10, IEEE Computer Society, Washington, DC, USA, 2010, pp. 177–182.10.1109/ICSNC.2010.34
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  53. [L53] Bonnecaze, A.—Liardet, P.: Uniform generators and combinatorial designs, International Journal on Advances in Networks and Services, 4 (2011), 107—118.
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  54. [L54] Grabner, P. J.—Hellekalek, P.—Liardet, P.: The dynamical point of view of low-discrepancy sequences, Unif. Distrib. Theory, 7 (2012), no. 1, 11–70.
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  55. [L55] Liardet, P.: Gérard Rauzy (1938—2010), Gaz.Math. 132 (2012), 92–99.
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  56. [L56] Liardet, P.: Gérard Rauzy (1938—2010), Unif. Distrib. Theory 7 (2012), no. 1, 1–9.
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  57. [L57] Bonnecaze, A.—Liardet, P.—Venelli, A.: AES side-channel countermeasure using random tower field constructions, Des. Codes Cryptogr. 69 (2013), no. 3, 331—349.
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  58. [L58] Abou, I.—Liardet, P.: Mixing of Prouhet-Thue-Morse and Rudin-Shapiro sequences, Ann. Univ. Sci. Budapest. Sect. yComput. 40 (2013), 55–67.
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  59. [L59] Feng, D.-J.—Liardet, P.—Thomas, A.: Partition functions in numeration systems with bounded multiplicity, Unif. Distrib. Theory 9 (2014), no. 1, 43–77.
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  60. [L60] Liardet, P.—Thomas, A.: Asymptotic formulas for partitions with bounded multiplicity, Applied Algebra and Number Theory, Cambridge Univ. yPress, Cambridge, 2014, pp.235–254.10.1017/CBO9781139696456.015
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  61. [BGH] BARAT, GUY—GRABNER, PETER J.—HELLEKALEK, PETER: : Pierre Liardet (1943–2014), In Memorian, EMS Newsletter, 97 (2015), 52–58.
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DOI: https://doi.org/10.1515/udt-2016-0011 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
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Language: English
Page range: i - xi
Submitted on: May 21, 2016
Accepted on: May 23, 2016
Published on: Jan 13, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Related subjects:
Mathematics,
Algebra and number theory,
Discrete mathematics,
Probability and statistics,
Numerical and computational mathematics

© 2017 Cor Kraaikamp, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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