Publications

[1] C. Mutafian and J. Peyrière, Sur les procédés de sommation des séries de Rademacher. Bull. Sci. Math. 93 (1969), 181–185.
[2] R. Spector and J. Peyrière, Sur les multiplicateurs radiaux de FLp(G). C. R. Acad. Sc. Paris 269 (1969), 273–274.
[3] J. Peyrière Sur les multiplicateurs de FLp. C. R. Acad. Sc. Paris 271 (1970), 992-994.
[4] J. Peyrière Sur la dérivabilité de certaines convolutions. C. R. Acad. Sc.Paris 273 (1971), 674–676.
[5] J. Peyrière Sur les produits de Riesz. C. R. Acad. Sc. Paris 276 (1973),1417-1419.
[6] H. Daboussi and J. Peyrière, Fonctions arithmétiques multiplicatives etmultiplicateurs de Fourier. Coll. Math. 28 (1973), 261–266.
[7] N. Lohoué and J. Peyrière, Estimation de la norme de certains opérateursde Lp(T). Ann. Scuola Norm. Sup. Pisa XXVII (1973), 815–844.
[8] J. Peyrière Utilisation des produits de Riesz pour minorer la dimensionde Hausdorff de certains ensembles. Sém. Théorie des Nombres de Bordeaux(1973-1974).
[9] J. Peyrière Turbulence et dimension de Hausdorff. C. R. Acad. Sc. Paris278 (1974), 567–569.
[10] J. Peyrière Etude de quelques propriétés des produits de Riesz. Ann.Inst. Fourier 25 (1975), 127–169.
[11] J. Peyrière Multiplicateurs sur certains groupes totalement discontinuset applications. Math. Scand. 35 (1974), 175–192.3
[12] J. Peyrière Sur la dérivabilité de certaines convolutions. Revue roumaineMath. Pures et Appl. 27 (1977), 553–565.
[13] J. Peyrière Thèse (regroupe les articles précédents à l’exception du premieret du sixième). Publ. Math. d’Orsay 93-7418 (1974).
[14] J.-P. Kahane and J. Peyrière, Sur certaines martingales de B. Mandelbrot.Advances in Math. 22 (1976), 131–145.
[15] J. Peyrière Calculs de dimensions de Hausdorff. Duke Math. J. 44(1977), 591–601.
[16] P. Baldi, N. Lohoué, and J. Peyrière, Sur la classification des groupesrécurrents. C. R. Acad. Sc. Paris 285 (1977), 1103–1104.
[17] P. Sjölin and J. Peyrière, Regularity of spherical means. Arkiv förMat. 16 (1978), 117–126.
[18] J. Peyrière A singular random measure generated by splitting [0, 1].Z. Wahrscheinlichkeitstheorie verw. Geb. 47 (1979), 289–297.
[19] J. Peyrière Regularity of spherical means. Proceedings of Symposia inPure Mathematics, 35.1 (1979), 99–100.
[20] J. Peyrière Sur les colliers aléatoires de B. Mandelbrot. C. R. Acad. Sc.Paris 286 (1978), 937–939.
[21] J. Peyrière Mandelbrot random beadsets and birth processes with interaction.IBM Research Report RC 7417 (# 31952) (1978).
[22] J. Peyrière Processus de naissance avec interaction des voisins. C. R.Acad. Sc. Paris 289 (1979), 223–224 et 557.
[23] J. Peyrière Processus de naissance avec interaction des voisins, évolutionde graphes. Ann. Inst. Fourier 31 (1981), 187–218.
[24] J. Peyrière Substitutions aléatoires itérées. Sém. Théorie des Nombresde Bordeaux, année 1980-81, exposé n◦ 17.
[25] N. Lohoué and J. Peyrière, Majoration de la transformée de Fourier decertaines mesures. Ann. Inst. Fourier 33 (1983), 115–122.
[26] A. Aharony, Y. Gefen, B. Mandelbrot, and J. Peyrière, Fractals, theirtransfer matrices and their eigendimensional sequences. J. Phys. A: Math.Gen. 18 (1985), 335–354.4
[27] J. Peyrière Comparaison de deux notions de dimension. Bull. Soc. Math.France 114 (1986), 97–103.
[28] F. Axel, J.-P. Allouche, M. Kléman, M. Mendès France, and J. Peyrière,Vibrational modes in a one-dimensional “quasi-alloy”: the Morse case. J. Phys.,colloque C3, supplément au n◦ 7, t. 47 (1986), C3-181–186.
[29] J. Peyrière Frequency of patterns in certain graphs and in Penrosetilings. J. Phys., colloque C3, supplément au n◦ 7, t. 47 (1986), C3-41–62.
[30] B. Derrida, M. Mendès France, and J. Peyrière, Exactly solvable onedimensionalinhomogeneous models. J. Stat. Phys. 45 (1986), 439-449.
[31] J.-P. Allouche and J. Peyrière, Sur une formule de récurrence sur lestraces de produits de matrices associés à certaines substitutions. C. R. Acad.Sc. Paris 302 (1986), 1135–1136.
[32] J. Peyrière Mesures singulières associées à des découpages aléatoiresd’un hypercube. Coll. Math. 51 (1987), 267–276.
[33] H. Daboussi and J. Peyrière, Fonctions arithmétiques multiplicatives etmultiplicateurs de Fourier. II. Coll. Math. 52 (1987), 159–166.
[34] J. Peyrière Fréquence des motifs dans les suites doubles invariantes parune substitution. Ann. Sc. Math. Québec 11 (1987), 133–138.
[35] J. Peyrière Introduction aux mesures et dimensions de packing. DansDimensions non entières et applications. Ed. G. Cherbit. Paris, Masson,1987.
[36] F. Axel and J. Peyrière, Etats étendus dans une chaîne à désordrecontrôlé. C. R. Acad. Sc. Paris 306, série II (1988), 179–182.
[37] J.-P. Kahane, Wen Zhi-Ying, Wu Li-Ming and J. Peyrière, Moyennesuniformes et moyennes suivant une marche aléatoire. Prob. Th. Rel. Fields79 (1988), 625-628.
[38] B. Sapoval, J.-N. Chazalviel and J. Peyrière, Electrical response offractal and porous interfaces. Phys. Rev. A. 38, n◦ 11 (1988), 5867–5887.
[39] Y. Gefen, M. Kléman, A. Pavlovitch and J. Peyrière, Inflationary characterof Penrose Tilings. J. de Physique 49 (1988), 1111–1118.
[40] F. Axel and J. Peyrière, Spectrum and extended states in a harmonicchain with controlled disorder: effects of the Thue-Morse symmetry. J. Stat.Phys. 57 (1989), 1013–1047.5
[41] J. Peyrière Almost everywhere convergence of lacunary trigonometricseries with respect to Riesz products. Australian J. Math., (series A) 48(1990), 376–383.
[42] J. Peyrière On the trace map for products of matrices associated withsubstitutive sequences. J. Stat. Phys. 62 (1991), 411–414.
[43] F. Delyon and J. Peyrière, Recurrence of the eigenstates of a Schrödingeroperator with automatic potential. J. Stat. Phys. 64 (1991), 363–368.
[44] G. Brown, G. Michon and J. Peyrière, On the multifractal analysis ofmeasures. J. Stat. Phys. 66 (1992), 775–790.
[45] J. Peyrière Multifractal measures. In Probabilistic and StochasticMethods in Analysis (Proceedings of the NATO ASI, Il Ciocco 1991). Ed.J. Byrnes, Kluwer Academic Publishers, 1992.
[46] J. Peyrière, Wen Zhi-Xiong, and Wen Zhi-Ying, On the dynamicalbehaviour of iteration of trace maps associated with substitutive sequences.In non-linear problems in engineering and science (Beijing, 1991). Ed. ShutieXiao and Xian-Cheng Hu, Science Press 1992.
[47] J. Peyrière, Wen Zhi-Xiong, and Wen Zhi-Ying, Polynômes associés auxendomorphismes de groupes libres. L’Enseignement Mathématique, 2ième série, 39 (1993), 153–175.
[48] G. Michon and J. Peyrière, Thermodynamique des Ensembles de CantorAutosimilaires. Chinese Ann. of Math. 15 (1994), 253–272.
[49] J. Peyrière, E. Cockayne, F. Axel, Linear-shape Analysis of high resolutionX-ray diffraction spectra of finite size Thue-Morse GaAs–AlAs multilayerheterostructure. Journal de Physique I, 5 (1995), 111–127.
[50] J. Peyrière Trace maps. In Beyond Quasicrystals. Eds. F. Axel andD. Gratias. Editions Fran¸caises de Physique and Springer, 1995, 465–480.
[51] J. Peyrière Introduction to multifractal analysis. In Beyond Quasicrystals.Eds. F. Axel and D. Gratias. Editions Fran¸caises de Physique andSpringer, 1995, 563–582.
[52] J.-P. Allouche, Z.-X. Wen, Z.-Y. Wen and J. Peyrière, Hankel determinantsof the Thue-Morse sequence. Ann. Inst. Fourier 48 (1998), 1–27.6
[53] J. Peyrière Analyse multifractale des processus multiplicatifs de B. Mandelbrot.Actes du colloque de la Société Mathématique de Tunisie (Mahdia1998), 88–101.
[54] J. Peyrière, Wen Zhi-Xiong, and Wen Zhi-Ying, Algebraic properties oftrace mappings associated with substitutive sequences. In Dynamical Systems,Proceedings of the international conference in honor of Professor LiaoShantao (Beijing University, 1998), Jiang Yunping and Wen Lan Eds. 223–236. World Scientific 1999.
[55] J. Peyrière On an article by W. Magnus on the Fricke characters of freegroups. J. of Algebra 228 (2000), 659–673.
[56] J. Peyrière Recent results on Mandelbrot multiplicative cascades. Progressin Probability 46 (2000), 147–159.
[57] J.-P. Allouche, M. Mendès France and J. Peyrière, Automatic Dirichletseries. J. Number Theory 81 (2000), 359–373.
[58] J. Peyrière, Wen Zhi-Xiong et Wen Zhi-Ying, Endomorphismes de certainesalgèbres à identités polynomiales. C. R. Acad. Sci. Paris 331, Série I(2000), 111–114.
[59] J. Peyrière Polynomial dynamical systems associated with substitutions.In Substitutions in Dynamics, Arithmetics and Combinatorics. Eds.V. Berthé, S. Ferenczi, C. Mauduit, and A. Siegel. Lecture Notes in Mathematics1794. Springer 2002, 321–342. ISSN 0075-8434, ISBN 3-540-44141-7.
[60] J. Barral, F. Ben Nasr and J. Peyrière, Comparing multifractal formalisms:the Neighboring Boxes Condition. Asian J. of Math. 7 (2003), 149–166.
[61] J. Peyrière Multifractal formalisms: boxes or centered intervals? Analysisin Theory and Appl. 19 (2003), 332–341.
[62] J. Peyrière, B. Tan, Z.-X. Wen, and J. Wu, The factors compositionmatrices of sequences.. Theoret. Comp. Sc. 329 (2004), 251–269.
[63] J. Peyrière A Vectorial Multifractal Formalism. Proceedings of Symposiain Pure Mathematics, 72.2 (2004), 217–230.
[64] Q.-H. Liu, J. Peyrière, and Z.-Y. Wen, Periodic polynomial of tracemaps. Bull. Sci. Math., 131 (2007), 572–582.7
[65] Qinghui Liu, J. Peyrière, and Zhi-Ying Wen, Dimension of the spectrumof one-dimensional discrete Schrödinger operators with Sturmian potentials.C. R. Math. Acad. Sci. Paris 345 (2007), no. 12, 667–672.
[66] Aihua Fan, Limin Liao and J. Peyrière, Generic points in systems ofspecification and Banach valued Birkhoff ergodic average. Discrete and continuousdynamical systems 21, no. 4 (2008), 1103–1128.
[67] Julien Barral, J. Peyrière, and Wen Zhi-Ying, Dynamics of Mandelbrotcascades. Prob. Theory Rel. Fields, 144 (2009), 615–631.
[68] J. Peyrière A remark on a note by Laguerre. C. R. Acad. Sci. Paris,347, (2009), 347–351.
[69] J. Barral, A.-H. Fan, and J. Peyrière, Mesures engendrées par multiplications,in Quelques interactions entre analyse, probabilités et fractals,Panoramas et Synthèses 32 (2010), 57–189.
[70] J. Peyrière, Benoît Mandelbrot, Images des maths (novembre 2010).
[71] J. Peyrière, Benoît Mandelbrot, Images des mathématiques. Les Editionsdu CNRS (2010).
[72] J. Barral, A.-H. Fan, and J. Peyrière, Mesures engendrées par multiplications,in Quelques interactions entre analyse, probabilités et fractals,Panoramas et Synthèses 32 (2010), 57–189.
[73] F. Axel and J. Peyrière, Beyond Bragg mirrors: the design of aperiodicomnidirectional multilayer reflectors, J. Phys. A: Math. Theor. 44 (2011),035005–035014.
[74] F. Ben Nasr and J. Peyrière, Revisiting the multifractal analysis ofmeasures, Rev. Mat. Iberoam. 29 (2013), no. 1, 135–162 .
[75] J. Barral and J. Peyrière, Le fabuleux destin des cascades de Mandelbrot,Gazette des mathématiciens, no. 136 (2013), 135–158.
[76] J. Barral and J. Peyrière, The Mandelbrot martingales: a legendarydestiny, In Benoit Mandelbrot: A Life In Many Dimensions; Michael Frame,World Scientific (2014), ISBN-13: 978-9814366069.
[77] J. Barral, J. Peyrière, and H. Queffélec, The Mathematical Legacy ofJean-Pierre Kahane, Newsletter of the European Mathematical Society, 108(2018), 43–47.8
[78] J. Barral and Jacques Peyrière, Mandelbrot cascades on random weightedtrees and nonlinear smoothing transforms, Asian Journal of Math. 22, (2018)
[79] R. Coifman and J. Peyrière, Phase unwinding, or invariant subspacedecompositions of Hardy spaces. J. Fourier Analyseis and Applications 25-3, (2019), 684–695.
[80] J. Barral, J. Peyrière et H. Queffélec, Ce que nous lègue Jean-PierreKahane, numéro spécial de la Gazette des Mathématiciens (2019), 11–18.
[81] S. Lafon, J. Lévy Véhel, and J. Peyrière, Sampling and Frequency Warping.http://arxiv.org/abs/1407.6275
[82] R. Coifman and J. Peyrière, Multiscale decompositions of Hardy spaces,arXiv:2101.05311 (2021).
[83] R. Coifman, J. Peyrière, and G. Weiss On complex analytic tools andthe holomorphic rotation method, arXiv:2210.01949 (2022).
[84] J. Peyrière, Explicit fixed points of the smoothing transformation,arXiv:2209.08872 (2022).
[85] J. Peyrière, Moore machine duality. Theoretical Computer Science 251,(March 2023).
[86] J. Peyrière, F. Liu, Z. Zheng, and Z. Gong, Public key cryptosystemsbased on iterated functions systems, arXiv:2309.05917 (2023).

Books

• Convolution, séries et intégrales de Fourier. Paris Onze Edition, k 156(1998), ISBN 2-87800-140-0, 63 pages.
• Arithmétique et compléments d’algèbre pour le premier cycle. ParisOnze Edition, k 157 (1998), 43 pages, ISBN 2-87800-141-9.
• An introduction to fractal measures and dimensions. Paris Onze Edition,k 159 (1998), ISBN 2-87800-143-5, 40 pages.9
• Convolution, séries et intégrales de Fourier. Editions Ellipse 2012, collectionréférences sciences, ISBN 978-2-7298-72052, 112 pages.Chinese version: Higher Education Press, Beijing, ISBN 978-7-04-029216-9 (2010), 113 pages.
• An Introduction to Singular Integrals. Higher Education Press Beijingand SIAM (Society for Industrial and Applied Mathematics), 2019 andHigher Education Press (China), 2020