Institut de Mathématiques de Luminy

PUBLICATIONS 2003-2004

Dynamique, Arithmétique et Combinatoire

Aberkane Ali.
Words whose complexity satisfies lim p(n)/n=1.
Theoret. Comput. Sci. 307, no. 1, 31--46, 2003.

Adamczewski Boris, Cassaigne Julien.
On the transcendence of real numbers with a regular expansion.
J. Number Theory 103, no. 1, 27--37, 2003.

Ahlswede Rudolf, Khachatrian Levon H., Mauduit Christian, Sárközy András.
A complexity measure for families of binary sequences.
Period. Math. Hungar. 46, no. 2, 107--118, 2003.

Allouche Jean-Paul, Baake Michael, Cassaigne Julien, Damanik David.
Palindrome complexity.
Theoret. Comput. Sci. 292, no. 1, 9--31, 2003.

Bedaride Nicolas.
Billiard complexity in rational polyhedra.
Regul. Chaotic Dyn. 8, no. 1, 97--104, 2003.

Bruin H., Troubetzkoy Serge.
The Gauss map on a class of interval translation mappings.
Israel J. Math. 137, 125--148, 2003.

Bruin H., Saussol B., Troubetzkoy Serge, Vaienti S.
Return time statistics via inducing.
Ergodic Theory Dynam. Systems 23, no. 4, 991--1013, 2003.

Cassaigne Julien, Nicolas François.
Quelques propriétés des mots substitutifs [Some properties of substitutive words].
Bull. Belg. Math. Soc. Simon Stevin 10, suppl., 661--676, 2003.

Ferenczi Sébastien, Holton Charles, Zamboni Luca Q.
Structure of three-interval exchange transformations. II. A combinatorial description of the trajectories.
J. Anal. Math. 89, 239--276, 2003.

Mauduit Christian, Sárközy András.
On the measures of pseudorandomness of binary sequences.
Discrete Math. 271, no. 1-3, 195--207, 2003.

Saussol B., Troubetzkoy Serge, Vaienti Sandro.
Recurrence and Lyapunov exponents.
Mosc. Math. J. 3, no. 1, 189--203, 260, 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.

Troubetzkoy Serge, Schmeling J.
Inhomogeneous Diophantine approximations and angular recurrence for billiards in polygons.
Mat. Sb. 194, no. 2, 129--144, 2003.

Troubetzkoy Serge, Hubert Pascal.
Billards Polygonaux.
Le bulletin de la FRUMAM n°5, 7-11, 2003.

Troubetzkoy Serge, Vu H. L., Nguyen H. H., Nguyen V. Q., Russell M., Mestecky J.
Absolute quantification of specific nucleic acids by (RT)-PCR using a nonlinear mathematical model for data analysis.
PCR Technology: Current Innovations, Second Edition; Thomas Weissensteiner, Annette M. Griffin and Hugh G. Griffin (Editors) CRC Press, 2003. 

Anisiu Mira-Cristiana, Cassaigne Julien.
Properties of the complexity function for finite words
Rev. Anal. Numér. Théor. Approx. 33, no. 2, 123--139, 2004.

Arnoux Pierre, Berthé Valérie, Siegel Anne.
Two-dimensional iterated morphisms and discrete planes.
Theoret. Comput. Sci. 319, no. 1-3, 145--176, 2004.

Bálint Péter, Troubetzkoy Serge.
Rotor interaction in the annulus billiard.
J. Statist. Phys. 117, no. 3-4, 681--702, 2004.

Bálint Péter, Troubetzkoy Serge.
Ergodicity of two hard balls in integrable polygons.
Nonlinearity 17, no. 6, 2069--2090, 2004.

Barbolosi Dominique, Faivre Christian.
Sur les grands quotients partiels du développement en fraction continue [On large partial quotients in continued fraction expansion].
J. Number Theory 106, no. 2, 299--325, 2004.

Blanchard François, Durand Fabien, Maass Alejandro.
Constant-length substitutions and countable scrambled sets.
Nonlinearity 17, no. 3, 817--833, 2004.

Boshernitzan Michael, Nogueira Arnaldo.
Generalized eigenfunctions of interval exchange maps.
Ergodic Theory Dynam. Systems 24, no. 3, 697--705, 2004.

Bressaud Xavier.
Expanding interval maps with intermittent behaviour, physical measures and time scales.
Discrete Contin. Dyn. Syst. 11, no. 2-3, 517--546, 2004.

Buzzi Jérôme, Hubert Pascal.
Piecewise monotone maps without periodic points: rigidity, measures and complexity.
Ergodic Theory Dynam. Systems 24, no. 2, 383--405, 2004.

Cassaigne Julien, Plagne Alain.
Grekos' S function has a linear growth.
Proc. Amer. Math. Soc. 132, no. 10, 2833--2840 (electronic), 2004.

Fouvry Étienne, Michel Philippe, Rivat Joël, Sárközy András.
On the pseudorandomness of the signs of Kloosterman sums.
J. Aust. Math. Soc. 77, no. 3, 425--436, 2004.

Goubin Louis, Mauduit Christian, Sárközy András.
Construction of large families of pseudorandom binary sequences.
J. Number Theory 106, no. 1, 56--69, 2004.

Gutkin Eugene, Hubert Pascal, Schmidt Thomas A.
Affine diffeomorphisms of translation surfaces: periodic points, Fuchsian groups, and arithmeticity.
Ann. Sci. École Norm. Sup. (4) 36 (2003), no. 6, 847--866, 2004.

Hubert Pascal, Sárközy András.
On p-pseudorandom binary sequences.
Period. Math. Hungar. 49, no. 1, 73--91, 2004.

Hubert Pascal, Schmidt Thomas A.
Infinitely generated Veech groups.
Duke Math. J. 123, no. 1, 49--69, 2004.

Mauduit Christian, Rivat Joël, Sárközy András.
Construction of pseudorandom binary sequences using additive characters.
Monatsh. Math. 141, no. 3, 197--208, 2004.

Monteil Thierry.
A counter-example to the theorem of Hiemer and Snurnikov.
J. Statist. Phys. 114, no. 5-6, 1619--1623, 2004.

Troubetzkoy Serge.
Recurrence and periodic billiard orbits in polygons.
Regul. Chaotic Dyn. 9, no. 1, 1--12, 2004.

Arnoux Pierre, Fisher Albert.
Anosov families, renormalization and non-stationary subshifts.
Ergodic theory and dynamical systems. A paraître.

Arnoux Pierre, Siegel Anne.
Dynamique du nombre d'or.
Actes de l'université d'été de Bordeaux (2004). A paraître.

Hubert Pascal, Lelièvre Samuel.
Prime arithmetic Teichmüller discs in H(2).
Israel Journal of Math. A paraître.

Hubert Pascal, Lelièvre Samuel.
Non congruence subgroups in H(2).
International Math. Research Notices. A paraître.

Mauduit Christian, Pomerance C., Sarközy A.
On Niven numbers.
Ramanujan Journal. A paraître.

Mauduit Christian, Ahlswede R., Sarközy A.
Large families of pseudorandom sequences of k symbols and their complexity I.
Proceedings on General Theory of Information Transfer and Combinatorics. A paraître.

Mauduit Christian, Ahlswede R., Sarközy A.
Large families of pseudorandom sequences of k symbols and their complexity II.
Proceedings on General Theory of Information Transfer and Combinatorics. A paraître.

Mauduit Christian, Sarközy A.
Construction of pseudorandom binary sequences by using the multiplicative inverse.
Acta Math. Hungarica. A paraître.

Mauduit Christian, Rivat Joel.
Propriétés q-multiplicatives de la suite [nc].
Journal of Number Theory. A paraître.

Mauduit Christian, Fouvry E.
Sur les entiers dont la somme des chiffres est moyenne.
Journal of Number Theory. A paraître.

Troubetzkoy Serge.
Periodic billiard orbits in right triangles.
Annales de l'Institut Fourier. A paraître.

 Ouvrages

Pytheas-Fogg.
Substitutions in Dynamics, Arithmetics and Combinatorics.
Lectures Notes in Mathematics 1794, Springer-Verlag, 2002.

Blondel Vincent D., Cassaigne Julien, Karhumäki Juhani.
Freeness of multiplicative matrix semigroups.
in Unsolved Problems in Mathematical Systems and Control Theory, édité par Blondel Vincent D. et Megretski Alexandre, Princeton University Press, Princeton, NJ, 309--314, 2004.



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