Pierre Liardet (1943–2014)

[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.Search in Google Scholar

[L2] Liardet, P.: Transformations Rationnelles et Ensembles Algébriques, Thèse 3e cycle, Université de Provence, Faculté des Sciences, 1970.Search in Google Scholar

[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.Search in Google Scholar

[L4] Liardet, P.: Sur une conjecture de W. Narkiewicz, C. R. Acad. Sci. Paris Sér. A–B, 274 (1972), A1836–A 1838.Search in Google Scholar

[L5] Liardet, P.: Sur une conjecture de Serge Lang. C. R. Acad. Sci. Paris Sér. A, 279 (1974), 435–437.Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[L12] Liardet, P.: Discrépance sur le Cercle, Primaths 1, Univ. Marseille, 1979.Search in Google Scholar

[L13] Liardet, P.: Propriétés génériques de processus croisés, Compositio Math. 39 (1981), no. 4, 303—325.Search in Google Scholar

[L14] Coquet, J.—Liardet, P.: Répartitions uniformes des suites et indépendance statistique, Compositio Math., 51 no. 2, (1984), 215–236.Search in Google Scholar

[L15] Coquet, J.—Liardet, P.: A metric study involving independent sequences, J. Analyse Math., 49 (1987), 15—53.10.1007/BF02792891Open DOISearch in Google Scholar

[L16] Liardet, P.: Regularities of distribution, Compositio Math. 61 (1987), no. 3, 267–293.Search in Google Scholar

[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-XOpen DOISearch in Google Scholar

[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.Search in Google Scholar

[L19] Liardet, P.: Some metric properties of subsequences, Acta Arith. 55 (1990), no. 2, 119–135.Search in Google Scholar

[L20] Allouche, J.-P.—Liardet, P.: Generalized Rudin-Shapiro sequences, Acta Arith., 60 (1991), no. 1, 1–27.Search in Google Scholar

[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.Search in Google Scholar

[L22] Kraaikamp, C.–Liardet, P.: Good approximations and continued fractions, Proc. Amer. Math. Soc., 112 (1991), no. 2, 303–309.10.1090/S0002-9939-1991-1062392-7Open DOISearch in Google Scholar

[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/135/1185084Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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_16Search in Google Scholar

[L27] Kaminski, B.—Liardet, P.: Spectrum of multidimensional dynamical systems with positive entropy, Studia Math. 108 (1994), no. 1, 77–85.Search in Google Scholar

[L28] Grabner, P. J.—Liardet, P.—Tichy, R. F.: Odometers and systems of numeration, Acta Arith. 70 (1995), 103–123.10.4064/aa-70-2-103-123Search in Google Scholar

[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.Search in Google Scholar

[L30] Liardet, P.—Volný, D.: Sums of continuous and differentiable functions in dynamical systems, Israel J. Math. 98 (1997), 29–60.10.1007/BF02937328Open DOISearch in Google Scholar

[L31] Liardet, P.—Stambul, P.: Algebraic computations with continued fractions, J. Number Theory 73 (1998), no. 1, 92–121.10.1006/jnth.1998.2274Open DOISearch in Google Scholar

[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-91-4-329-349Search in Google Scholar

[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.Search in Google Scholar

[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-84/85-2-285-306Search in Google Scholar

[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/S0002-9939-00-05602-1Open DOISearch in Google Scholar

[L36] Liardet, P.—Stambul, P.: Séries de Engel et fractions continuées, J. Théor. Nombres Bordeaux, 12 (2000), no. 1, 37—68.Search in Google Scholar

[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.Search in Google Scholar

[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/aa99-2-4Open DOISearch in Google Scholar

[L39] Barat, G.—Downarowicz, T.—Liardet, P.: Dynamiques assocées à une échelle de numération, Acta Arith. 103 (2002), 41–77.10.4064/aa103-1-5Open DOISearch in Google Scholar

[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.Search in Google Scholar

[L41] Barat, G.—Liardet, P.: Dynamical systems originated in the Ostrowski alpha-expansion, Ann. Univ. Sci. Budapest. Sect. Comput. 24 (2004), 133–184.Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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.2233Open DOISearch in Google Scholar

[L45] Dajani, K.—Kraaikamp, C.—Liardet, P.: Ergodic properties of signed binary expansions, Discrete Contin. Dyn. Syst., 15 (2006) no. 1, 87–119.Search in Google Scholar

[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/1196285807Search in Google Scholar

[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.Search in Google Scholar

[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/aa135-4-1Open DOISearch in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

[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.2010.34Search in Google Scholar

[L53] Bonnecaze, A.—Liardet, P.: Uniform generators and combinatorial designs, International Journal on Advances in Networks and Services, 4 (2011), 107—118.Search in Google Scholar

[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.Search in Google Scholar

[L55] Liardet, P.: Gérard Rauzy (1938—2010), Gaz.Math. 132 (2012), 92–99.Search in Google Scholar

[L56] Liardet, P.: Gérard Rauzy (1938—2010), Unif. Distrib. Theory 7 (2012), no. 1, 1–9.Search in Google Scholar

[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.Search in Google Scholar

[L58] Abou, I.—Liardet, P.: Mixing of Prouhet-Thue-Morse and Rudin-Shapiro sequences, Ann. Univ. Sci. Budapest. Sect. yComput. 40 (2013), 55–67.Search in Google Scholar

[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.Search in Google Scholar

[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/CBO9781139696456.015Search in Google Scholar

[BGH] BARAT, GUY—GRABNER, PETER J.—HELLEKALEK, PETER: : Pierre Liardet (1943–2014), In Memorian, EMS Newsletter, 97 (2015), 52–58.Search in Google Scholar