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AN UNIVERSAL MINORATION OF THE MAHLER MEASURE OF REAL RECIPROCAL ALGEBRAIC INTEGERS

Jean-Louis Verger-Gaugry
2022
Pré-publication, Document de travail hal-03754750v1
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On a class of lacunary almost Newman polynomials modulo p and density theorems

Denys Dutykh , Jean-Louis Verger-Gaugry
Uniform Distribution Theory, 2022, 17, pp.29-54
Article dans une revue hal-03517173v1
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Phases of Intense Peaks in IPIC Quasicrystals Models. Formal Patterson Analysis

Jean-Louis Verger-Gaugry
APERIODIC '94, Sep 1994, Les Diablerets, Switzerland. pp.404-408, ⟨10.1142/9789814533423⟩
Communication dans un congrès hal-03153336v1
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Construction of 6D icosahedral crystals from approximate icosahedral 3D crystalline structures and phase transitions

J.-L. Verger-Gaugry , Nobumichi Tamura
Phase Transitions, 1991, 32, pp.89-101
Article dans une revue hal-03135054v1
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BEYOND THE ICOSAHEDRAL GLASS MODEL, THE INTERPENETRATING PSEUDO - ICOSAHEDRAL CLUSTERS (IPIC) MODEL.

J.-L. Verger-Gaugry
P. Jena; S. N. Khanna; B. K. Rao. Physics and Chemistry of Finite Systems: From Clusters to Crystals Vol. 1, 374, Kluwer Academic Publisher, pp.139-145, 1992, NATO ASI Series, ⟨10.1007/978-94-017-2645-0_17⟩
Chapitre d'ouvrage istex hal-03135315v1
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LOW CYCLE FATIGUE OF BINARY Al-Li ALLOYS. II-MICROSTRUCTURAL CHARACTERIZATION AND IN SITU FATIGUE EXPERIMENTS

Y Brechet , F Louchet , J.-L. Verger-Gaugry
Le Journal de Physique Colloques, 1987, 48, pp.C3-709-C3-716
Article dans une revue hal-03134480v1

Icosahedral Local Order in some Boron-Based Alloys and Quasicrystals

Jean-Louis Verger-Gaugry , Jacques Mainville
13th GENERAL CONFERENCE OF THE CONDENSED MATTER DIVISION OF THE EUROPEAN PHYSICAL SOCIETY in conjunction with ARBEITSKREIS FESTKÖRPERPHYSIK DEUTSCHE PHYSIKALISCHE GESELLSCHAFT, Markus Schwoerer (Chairman), Mar 1993, Ratisbonne, Germany. pp.1272 (ME12.47)
Communication dans un congrès hal-03154172v1
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Multidimensional Continued Fractions, Klein-Arnold Sails and Diffraction Theory from Finite and Infinite Icosahedral Clusters

Jean-Louis Verger-Gaugry
Proc. of the 5th International Conference on Quasicrystals, Avignon, 22-26 May 1995, C. Janot, R. Mosseri, May 1995, Avignon, France. pp.68-71
Communication dans un congrès hal-03166599v1
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Covering a ball with smaller equal balls in ~$\rb^{n}$

Jean-Louis Verger-Gaugry
Discrete and Computational Geometry, 2005, 33, pp.143--155
Article dans une revue hal-00346015v1

Recent Progress on the Dynamical Zeta Function of the β -shift, and Lehmer's Problem

Jean-Louis Verger-Gaugry
7th International Conference on Uniform Distribution Theory, Friedrich Pillichshammer, JKU Linz, Chair, Peter Kritzer, RICAM Linz, László Mérai, RICAM Linz, Arne Winterhof, RICAM Linz, Feb 2021, Linz, Austria
Communication dans un congrès hal-03168409v1
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On a generalization of the Selection Theorem of Mahler

Gilbert Muraz , Jean-Louis Verger-Gaugry
Journal de Théorie des Nombres de Bordeaux, 2005, 17 (1), pp.237--269
Article dans une revue hal-00346735v1
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On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon

J.-P. Gazeau , Jean-Louis Verger-Gaugry
Journal de Théorie des Nombres de Bordeaux, 2008, 20, pp.673-705
Article dans une revue hal-00341927v1
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Equidistribution of Galois and beta-conjugates of Parry numbers near the unit circle.

Jean-Louis Verger-Gaugry
AMS Fall Western Sectional Meeting, November 7/8 2009, Michel L. Lapidus, University of California Riverside, Hung Lu, Hawaii Pacific University, Erin P. J. Pearse, University of Iowa, Nov 2009, Riverside, California, United States. pp.1054-11-233
Communication dans un congrès hal-03167840v1
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Symmetry groups for beta-lattices

Avi Elkharrat , Christiane Frougny , Jean-Pierre Gazeau , Jean-Louis Verger-Gaugry
Theoretical Computer Science, 2004, 319 (1-3), pp.281 - 305. ⟨10.1016/j.tcs.2004.02.013⟩
Article dans une revue hal-03136734v1
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A proof of the Conjecture of Lehmer

Jean-Louis Verger-Gaugry
2019
Pré-publication, Document de travail hal-02322497v3
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Calculation of 6D Atomic Surfaces from a Given Approximant Crystalline Structure Using Approximate Icosahedral Periodic Tilings

J.-L. Verger-Gaugry
Springer Proceedings in Physics, 1990, Number Theory and Physics. Proceedings of the Winter School, Les Houches, France, March 7–16, 1989, 47, pp.128-137. ⟨10.1007/978-3-642-75405-0_12⟩
Article dans une revue istex hal-03135318v1
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On the Conjecture of Lehmer, limit Mahler measure of trinomials and asymptotic expansions

Jean-Louis Verger-Gaugry
Uniform Distribution Theory, 2016, 11, pp.79-139
Article dans une revue hal-01196990v1

On limit dynamical zeta functions and Mahler measure of height one trinomials

Jean-Louis Verger-Gaugry
Zeta Functions 6 - Moscou 2016, D. Fiorilli, F. Jouve, P. Lebacque, A. Zykin, Dec 2016, Moscou, Russia
Communication dans un congrès hal-03757546v1
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Limit Conjectures in Number Theory, Lehmer's Conjecture, Conjecture of Schinzel-Zassenhaus, Dynamical Zeta Function of the Beta-shift

Jean-Louis Verger-Gaugry
2018
Vidéo hal-03146797v1

Icosahedral Local order in Matter. A Geometrical Classification

Jean-Louis Verger-Gaugry , N Tamura , J.-L. Verger-Gaugry
13th GENERAL CONFERENCE OF THE CONDENSED MATTER DIVISION OF THE EUROPEAN PHYSICAL SOCIETY in conjunction with ARBEITSKREIS FESTKÖRPERPHYSIK DEUTSCHE PHYSIKALISCHE GESELLSCHAFT, Mar 1993, Regensburg, Germany. pp.1271 (ME 12.45)
Communication dans un congrès hal-03154153v1

An Attack of the Conjecture of Lehmer by the Dynamical Zeta function of the β -shift

Jean-Louis Verger-Gaugry
International Congress of Mathematicians ICM 2018, M. Viana, Aug 2018, Rio-de-Janeiro, Brazil
Communication dans un congrès hal-03168425v1

The method of asymptotic expansions of Poincaré and Mahler measures of univariate polynomials in the Conjecture of Lehmer

Jean-Louis Verger-Gaugry
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery: The Geometry, Algebra and Analysis of Algebraic Numbers (15w5054), Francesco Amoroso (Université de Caen, Laboratoire LMNO), Igor Pritsker (Oklahoma State), Christopher Smyth (University of Edinburgh) Jeffrey Vaaler (University of Texas at Austin), Oct 2015, Banff, Canada
Communication dans un congrès hal-03168451v1

Equidistribution of the poles near the unit circle of the Artin-Mazur zeta function of the beta-transformation for beta a Parry number

Jean-Louis Verger-Gaugry
Colloque International ``Zeta Functions", M. Tsfasman, Dec 2008, Moscow, Russia
Communication dans un congrès hal-03168250v1
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Microanalysis of TiNb Carbonitrides in HSLA Steels

J.-L. Verger-Gaugry , G. Ocampo , J.D. D Embury
Metallography, 1985, 18, pp.381-393
Article dans une revue hal-03134927v1
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Alphabets, rewriting trails and periodic representations in algebraic bases

Denys Dutykh , Jean-Louis Verger-Gaugry
Research in Number Theory, 2021, 7 (64)
Article dans une revue hal-03090468v3
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Theory of G-approximant crystals with G, a non-crystallographic point group. I

J.-L. Verger-Gaugry
Journal de Physique I, 1991, 1 (9), pp.1303-1320. ⟨10.1051/jp1:1991208⟩
Article dans une revue istex jpa-00246413v1
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A Panorama on the Minoration of the Mahler Measure: from the Problem of Lehmer to its Reformulations in Topology and Geometry

Jean-Louis Verger-Gaugry
2020
Pré-publication, Document de travail hal-03148129v1
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A PROOF OF THE CONJECTURE OF LEHMER

Jean-Louis Verger-Gaugry
2021
Pré-publication, Document de travail hal-03119536v3
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ON ALGEBRAIC INTEGERS WHICH ARE 2-SALEM ELEMENTS IN POSITIVE CHARACTERISTIC

Mabrouk Ben Nasr , Hassen Kthiri , Jean-Louis Verger-Gaugry
2020
Pré-publication, Document de travail hal-03090505v1

A compactness theorem for the set of uniformly discrete sets and its subsets: lattices, clusters, model sets and Delone sets

Gilbert Muraz , Jean-Louis Verger-Gaugry
Aperiodic Order, Michael Baake, Tübingen, Jean Bellissard, Toulouse, Robert V. Moody, Edmonton, May 2001, Oberwolfach, Germany
Communication dans un congrès hal-03168493v1