Pierre Mathieu

ORCID: 0009-0004-0138-6301
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About
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Research Areas
  • Algebraic structures and combinatorial models
  • Nonlinear Waves and Solitons
  • Osteoarthritis Treatment and Mechanisms
  • Stochastic processes and statistical mechanics
  • Advanced Topics in Algebra
  • Social Sciences and Governance
  • Laser Design and Applications
  • Black Holes and Theoretical Physics
  • Muscle activation and electromyography studies
  • Markov Chains and Monte Carlo Methods
  • Mathematical Dynamics and Fractals
  • Theoretical and Computational Physics
  • Advanced Combinatorial Mathematics
  • Laser-Matter Interactions and Applications
  • Spectroscopy and Laser Applications
  • Inflammatory mediators and NSAID effects
  • Advanced Fiber Laser Technologies
  • Hip disorders and treatments
  • Multiculturalism, Politics, Migration, Gender
  • Physics of Superconductivity and Magnetism
  • Total Knee Arthroplasty Outcomes
  • Nonlinear Photonic Systems
  • Advanced Mathematical Modeling in Engineering
  • Quantum Mechanics and Non-Hermitian Physics
  • French Urban and Social Studies

Clermont Recherche Management
2014-2024

Institut de Chimie Séparative de Marcoule
2024

CEA Grenoble
2024

Commissariat à l'Énergie Atomique et aux Énergies Alternatives
2024

Centre Hospitalier Universitaire de Clermont-Ferrand
2024

University of Mons
2023-2024

Aix-Marseille Université
1999-2023

Institut Polytechnique de Bordeaux
2015-2023

Château Gombert
2015-2023

Institut de Mathématiques de Marseille
2008-2023

It is shown that among a one-parameter family of supersymmetric extensions the Korteweg–de Vries equation, there special system has an infinite number conservation laws, which can be formulated in second Hamiltonian structure, and nontrivial Lax representation. Its modified version also discussed.

10.1063/1.528090 article EN Journal of Mathematical Physics 1988-11-01

We consider a supercritical Bernoulli percolation model in , d ≥2, and study the simple symmetric random walk on infinite cluster. The aim of this paper is to prove almost sure (quenched) invariance principle for walk.

10.1098/rspa.2007.1876 article EN Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 2007-07-03
Martine Gilard Hélène Eltchaninoff Patrick Donzeau‐Gouge Karine Chevreul Jean Fajadet and 95 more Pascal Leprince Alain Leguerrier Michel Lièvre Alain Prat Emmanuel Teíger Thierry Lefevre Didier Tchetchè Didier Carrié Dominique Himbert Bernard Albat Alain Cribier Arnaud Sudre Didier Blanchard Gilles Rioufol F Collet Rémi Houël Pierre Dos Santos Nicolas Méneveau Saïd Ghostine Thibaut Manigold Philippe Guyon Dominique Grisoli Hervé Breton Stephane Delpine Romain Didier Xavier Favereau Géraud Souteyrand Patrick Ohlmann Vincent Doisy Gilles Grollier Antoine Gommeaux Jean-Philippe Claudel F Bourlon Bernard Bertrand Marc Laskar Bernard Iung Martine Gilard Marc Laskar Hélène Eltchaninoff Jean Fajadet Bernard Iung Emmanuel Teíger Patrick Donzeau‐Gouge Pascal Leprince Alain Leguerrier Alain Prat Karine Chevreul Michel Lièvre Michel Bertrand J Cassagne J Boschat Jean Rene Lusson Pierre Mathieu Y Logeais Jean-Paul Bessou Thierry Lefevre Bernard Chevalier Arnaud Farge Philippe Garot Thomas Hovasse Marie Claude Morice Mauro Romano P. Donzeau Gouge Didier Tchetchè Olivier Vahdat Bruno Farah Jean Fajadet Didier Carrié Nicolas Dumonteil G Fournial Bertrand Marcheix Dominique Himbert Patrick Nataf Alec Vahanian Bernard Albat Florence Leclercq Christophe Piot Laurent Schmutz P Aubas A. du Cailar Arnaud Dubar Nicolas Dürrleman F. Fargosz Gilles Levy Eric Maupas François Rivalland Gabriel Robert Hélène Eltchaninoff Jean-Paul Bessou Alain Cribier Christophe Tron Arnaud Sudre Françis Juthier Thomas Modine Éric Van Belle

10.1016/j.jacc.2016.07.747 article EN Journal of the American College of Cardiology 2016-10-01

Abstract Objective To evaluate progression of joint space narrowing in radiographs osteoarthritic (OA) knees imaged both the standing anteroposterior (AP) and Lyon schuss positions, using alternative methods to measure width (JSW). Methods Standing AP (extended view) (posteroanterior [PA] view, with 20–30° flexion) radiographic images 58 OA were obtained twice (at baseline 2 years later). With methods, fluoroscopy was used align anterior posterior margins medial or lateral tibial plateau...

10.1002/art.10773 article EN Arthritis & Rheumatism 2003-02-01

We prove that the heat kernel on infinite Bernoulli percolation cluster in $\Z^d$ almost surely decays faster than $t^{-d/2}$. also derive estimates mixing time for random walk confined to a finite box. Our approach is based local isoperimetric inequalities. Some of results this paper were previously announced note Mathieu and Remy [C. R. Acad. Sci. Paris Sér. I Math. 332 (2001) 927--931].

10.1214/aop/1078415830 article EN The Annals of Probability 2004-01-01

There are two known integrable N=2 space supersymmetric extensions of the KdV equation. Both can be written as Hamiltonian systems with a common Poisson structure which corresponds to form second structure. By analyzing conservation laws one parameter family equations that share this structure, finds third system is singled out by existence nontrivial laws. It conjectured integrable.

10.1063/1.529351 article EN Journal of Mathematical Physics 1991-04-01

10.1007/s10955-007-9465-z article EN Journal of Statistical Physics 2007-11-27

Fatigue affects the capacity of muscles to generate forces and is associated with characteristic changes in EMG signals. It may also influence interjoint intermuscular coordination. To understand better global effects fatigue on multijoint movement, we studied movement kinematics healthy volunteers asked hammer repetitively. Movement activity 20 arm, trunk, leg were recorded before after subjects became fatigued (as measured using a Borg scale). When was reached, maximal grip strength elbow...

10.1123/mcj.12.2.79 article EN Motor Control 2008-04-01

On établit une formule de la dimension mesure harmonique d'une marche aléatoire loi support fini et symétrique sur un groupe hyperbolique. caractérise aussi les lois pour lesquelles est maximale. Notre approche repose distance Green, qui permet développer point vue géométrique marches aléatoires et, en particulier, d'interpréter mesures harmoniques comme des quasiconformes.

10.24033/asens.2153 article FR Annales Scientifiques de l École Normale Supérieure 2011-01-01

<h3>OBJECTIVE</h3> To evaluate serum concentations of cartilage oligomeric matrix protein (COMP) and bone sialoprotein (BSP) as predictors disease progression in hip osteoarthrtitis (OA). <h3>METHODS</h3> Forty eight consecutive patients, referred to hospital for symptomatic OA, (ACR criteria) were monitored a one year prospective trial with radiographs samples. The graded joint space narrowing, osteophytes, sclerosis the width was measured by digitised image analyser. Serum COMP BSP...

10.1136/ard.57.9.527 article EN Annals of the Rheumatic Diseases 1998-09-01

10.1016/j.physletb.2007.10.007 article EN Physics Letters B 2007-10-06
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