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Publications FYMA


Recherchez une publication dans la base de données FYMA en
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27 publications trouvées pour '2001'

UCL-IPT-01-19
Filet Séparateur

Auteurs: L. Vanhamme, A. Coron, Jean-Pierre Antoine, P. Van Hecke, S. Van Huffel
Titre: A unifying interprezation of filtering approaches to water peak suppression in MRS
Références: Proc. 9th Conf. Intern. Soc. of Magnetic Resonance in Medicine pp. 209; Glasgow, Scotland (2001)
Résumé:


UCL-IPT-01-18 : (pdf)
Filet Séparateur

Auteurs: Radelet-de Grave, Patricia
Titre: Le mouvement des projectiles d'après Galilée
Références: Histoire et épistémologie dans l'éducation mathématique. IIIe Université d'été Européenne. Proceeding II (2001) pp.119-146
Résumé:


UCL-IPT-01-17
Filet Séparateur

Auteurs: Radelet-de Grave, Patricia (Ed.)
Titre: Histoire et épistémologie dans l'éducation mathématique 'De la maternelle à l'université'
Références: IIIe Université d'été européenne Proc. I + II Louvain-la-Neuve 2001
Résumé:


UCL-IPT-01-13 : (ps.gz)
Filet Séparateur

Auteurs: Bricmont Jean
Titre: Bayes, Boltzmann and Bohm: Probabilities in physics
Références: Chances in Physics - Foundations and Perspectives. Lecture Notes in Physics 574, pp. 3-21. Bricmont J., Dûrr D., Galavotti M.C., Ghirardi G., Petruccione F., Zanghi N. (Eds.), Springer-Verlag, Berlin et al., 2001
Résumé: In this introductory essay I shall make some remarks on the role of probabilities in physics, and discuss some concrete examples illustrating Boltzmann's explanation of approach to equilibrium.


UCL-IPT-01-11
Filet Séparateur

Auteurs: Bricmont Jean, Dürr D., Galavotti M.C., Ghirardi G., ... (eds.)
Titre: Chances in Physics - Foundations and Perspectives
Références: Lecture Notes in Physics 574 (2001) pp. xii + 292
Résumé:


UCL-IPT-01-10
Filet Séparateur

Auteurs: R Terrier, L. Demanet, I.A. Grenier, Jean-Pierre Antoine
Titre: Wavelet analysis of EGRET data
Références: Proc. of ICRC 2001 (Int. Cosmic Ray Conf.) pp. 1-4 (2001)
Résumé:


UCL-IPT-01-09 : (pdf)
Filet Séparateur

Auteurs: S. Mahieu and Philippe Ruelle
Titre: Scaling fields in the two-dimensional abelian sandpile model
Références: Physical Review E, volume 64, 066130-(1-19)
hep-th/0107150
Résumé: We consider the isotropic two-dimensional abelian sandpile model from a perspective based on two-dimensional (conformal) field theory. We compute lattice correlation functions for various cluster variables (at and off criticality), from which we infer the field-theoretic description in the scaling limit. We find a perfect agreement with the predictions of a c=-2 conformal field theory and its massive perturbation, thereby providing direct evidence for conformal invariance and more generally for a description in terms of a local field theory. The question of the height 2 variable is also addressed, with however no definite conclusion yet.


UCL-IPT-01-08 : (ps.gz)
Filet Séparateur

Auteurs: A.J. Buras and Jean-Marc Gérard
Titre: What is the $(\varepsilon'/\varepsilon)_\exp$ Telling Us ?
Références: hep-ph/0106104
Physics Letters 517B (2001) pp. 129-134.
Résumé: Nature might be kinder than previously thought as far as $\varepsilon'/\varepsilon$ is concerned. We show that the recently obtained experimental value for $\varepsilon'/\varepsilon$ does not require sizeable 1/N and isospin-breaking corrections. We propose to display the theoretical results for $\varepsilon'/\varepsilon$ in a $(P^{1/2},P^{3/2})$ plane in which the experimental result is represented by a $(\varepsilon'/\varepsilon)_\exp$-path. This sould allow to exhibit transparently the role of 1/N and isospin-breaking corrections in different calculations of $\varepsilon'/\varepsilon$. From now on theorists are allowed to walk only along this $(\varepsilon'/\varepsilon)_\exp$-path.


UCL-IPT-01-07
Filet Séparateur

Auteurs: Jean-Pierre Antoine, A. Coron
Titre: Time-frequency and time-scale approach to magnetic resonance spectroscopy
Références: J. of Computational Methods in Science and Engineering, 1 (2001) 327-352
Résumé: We review various applications of time-frequency and time-scale representations of signals in Magnetic Resonance Spectroscopy (MRS). First we give a brief survey of the mathematical tools, essentially the wavelet transform and the Gabor transform, both continuous and discrete. Then we turn to the applications and review the literature on signal correction and rephasing, solvent peak suppression, denoising, metabolite quantitation, etc. We conclude with some indications on available software.


UCL-IPT-01-06 : (ps.gz)
Filet Séparateur

Auteurs: Bricmont Jean, Kupiainen A., Schenkel A.
Titre: Renormalization group and the Melnikov problem for PDE's
Références: Communications in Mathematical Physics 221 (2001) pp. 101-140
Résumé: We give a new proof of persistence of quasi-periodic, low dimensional elliptic tori in infinite dimensional systems. The proof is based on a renormalization group iteration that was developed recently in [BGK] to address the standard KAM problem, namely, persistence of invariant tori of maximal dimension in finite dimensional, near integrable systems. Our result covers situations in which the so called normal frequencies are multiple. In particular, it provides a new proof of the existence of small-amplitude, quasi-periodic solutions of nonlinear wave equations with periodic boundary conditions.


UCL-IPT-00-23
Filet Séparateur

Auteurs: Radelet-de Grave, Patricia
Titre: D'une édition à l'autre, l'influence de l'analyse sur la statique graphique de Culmann
Références: Actes du Colloque Culmann ``Entre mécanique et Architecture II' pp. (to appear), Birkhaüser, Basel (2001)
Résumé:


UCL-IPT-00-22
Filet Séparateur

Auteurs: Radelet-de Grave, Patricia
Titre: Nord géographique et nord magnétique
Références: Histoire de la Mesure. Ordre des Géomètres-Experts (2001) 20-29
Résumé: Pierre Le Pélerin, Christophe Colomb, Mercator, Simon Stevin, Edmund Halley, Daniel Bernoulli... A travers les siècles, les navigateurs, les géographes, les scientifiques ont contribué à la recherche et à la mesure du champ et de la déclinaison magnétiques.


UCL-IPT-00-21 : (ps.gz)
Filet Séparateur

Auteurs: G. Lopez Castro, Jean Pestieau, C. Smith, S. Trine
Titre: Analytical behavior of positronium decay amplitudes
Références: hep-ph/0006018 (2001) (in preparation)
Résumé: Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons do not exhibit good analytical behaviour. Using dispersion techniques, we find new contributions that interfere with the known results to restore analytical properties. Those new amplitudes which cannot be obtained using standard factorized amplitude formalism, contribute at ${\cal O}(\alpha^2)$. Therefore they have to be evaluated before any theoretical conclusion can be drawn upon the orthopositronium lifetime puzzle.


UCL-IPT-00-18 : (ps.gz)
Filet Séparateur

Auteurs: G. Lopez Castro, Jean Pestieau, C. Smith
Titre: Binding energy corrections in positronium decays
Références: hep-ph/0004209
Résumé: Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons, so not exhibit good analytical behavior. We propose an {\em ansatz} which allows to include binding energy corrections and obtain the correct analytical and gauge invariance behavior of these QED amplitudes. As a consequence of these non-perturbative corrections, the parapositronium and orthopositronium decay rates receive corrections of order $\alpha^4$ and $\alpha^2$, respectively. These new corrections for orthopositronium are relevant in view of a precise comparison between recent theoretical and experimental developments. Implications are point out for analogous decays of quarkonia.


UCL-IPT-00-17 : (ps.gz)
Filet Séparateur

Auteurs: Jean-Marc Gérard, Jacques Weyers
Titre: Trace anomalies and the $\Delta I = {1\over 2}$ rule
Références: Physics Letters B 503 (2001) 99-103
hep-ph/0011391 (revised January 31, 2001)
Résumé: Trace Anomaly Dominance in weak $K$-decays successfully reproduces the $\Delta I = {1\over 2}$ selection rule results, as observed in $K_S \to \pi\pi, K_L \to \pi\pi\pi, K_S \to \gamma\gamma$ and $K_L \to \pi^0 \gamma\gamma$.


UCL-IPT-00-16 : (ps.gz)
Filet Séparateur

Auteurs: M. Feuillat, J.L. Lucio M., Jean Pestieau
Titre: Masses and widths of the $\rho^{\pm 0}$ (770)
Références: Physics Letters B501 (2001) pp. 37-43
hep-ph/0010145
Résumé: Isospin violation in the $\rho$(770) mass and width is considered within the $S$ matrix approach using combined fits to the $e^+e^- \to \pi^+\pi^-$ and $\tau^- \to \nu_\tau \pi^-\pi^0$ data performed by the ALEPH collaboration. We show that the pole position following from the parameters obtained from the ALEPH fits are not sensitive to the details of the parametrization. In this context, we have found that the pole mass difference and the pole width difference between the charged and neutral $\rho$ are consistent with zero. We show that a one loop calculation including vector, axial vector and pseudo-scalar mesons can satisfactorily describe the observed isospin breaking. We also give an estimate for the mass difference between the neutral and charged states of the $a_1$ (1260).


UCL-IPT-00-10 : (ps.gz)
Filet Séparateur

Auteurs: A. Coron, L. Vanhamme, Jean-Pierre Antoine, P. Van Hecke, S. Van Huffel
Titre: The filtering approach to solvent peak suppression in MRS: a critical review
Références: Journal of Magnetic Resonance 152 (2001) 26-40
Résumé: Suppressing the solvent peak is important in many applications of biomedical NMR spectroscopy in order to quantify the metabolites with a great accuracy. Among the postprocessing methods proposed in the literature, many are dealing with the concept of filtering. However, several proposals lack a theoretical perspective and some have not been explicitly applied to quantification problems. The present article is intended to bridge this gap: 5 methods are analysed from a theoretical perspective. Then, the different methods are applied to the same set of data and then the latter are quantified using the model fitting method AMARES. With our set, the scheme proposed by T.~Sundin etal ({em J. Magn. Reson.}, 139(2):189--204, 1999) proved to be the most reliable method.
Keywords: Peak suppression, Quantitation, Filter, Time-frequency analysis


UCL-IPT-00-09 : (pdf)
Filet Séparateur

Auteurs: Jean Bricmont, A. Kupiainen and R. Lefevere
Titre: Renormalizing the renormalization group pathologies
Références: Physics Reports 348 (2001) pp. 5-31
Résumé: We review the status of the ``pathologies' of the Renormalization Group (RG) encountered when one tries to define rigorously the RG transformation as a map between Hamiltonians. We explain their origin and clarify their status by relating them to the Griffiths' singularities appearing in disordered systems; moreover, we suggest that the best way to avoid those pathologies is to use the contour representation rather than the spin representation for lattice spin models at low temperatures. Finally, we outline how to implement the RG in the contour representation.


UCL-IPT-00-08 : (ps.gz)
Filet Séparateur

Auteurs: G. Lopez Castro, Jean Pestieau, Ch. Smith and S. Trine
Titre: Parapositronium decay and dispersion relations
Références: hep-ph/0006016 (2001) (in preparation)
Résumé: Positronium decay rates are computed at the one-loop level, using convolution-type factorized amplitudes. The dynamics of this factorization is probed with dispersion relations, showing that unallowed approximations are usually made, and some ${\cal O}(\alpha^2)$ corrections missed. Further, we discuss the relevance of the Schrödinger wavefunction as the basis for perturbative calculations. Finally, we apply our formalism to the parapositronium two-photon decay.


UCL-IPT-00-07
Filet Séparateur

Auteurs: Mélice J.L., Coron A., Berger A.
Titre: Amplitude and frequency modulation of the Earth's obliquity for the last million years
Références: Journal of Climate 14 pp. 1043-1054 (2001)
Résumé:


UCL-IPT-00-06 : (ps.gz)
Filet Séparateur

Auteurs: S. Liénart, Philippe Ruelle and O. Verhoeven
Titre: On Discrete Symmetries in $su(2)$ and $su(3)$ Affine Theories and Related Graphs
Références: Nuclear Physics B592 (2001) pp. 479-511
hep-th/0007095
Résumé: We classify the possible finite symmetries of conformal field theories with an affine Lie algebra $widehat{su}(2)$ and $widehat{su}(3)$, and discuss the results from the perspective of the graphs associated with the modular invariants. The highlights of the analysis are first, that the symmetries we found in either case are matched by the graph data in a perfect way in the case of $su(2)$, but in a looser way for $su(3)$, and second, that some of the graphs lead naturally to projective


UCL-IPT-00-05 : (ps.gz)
Filet Séparateur

Auteurs: Jean-Pierre Antoine, J-P Gazeau, J.R. Klauder, P. Monceau and K. Penson
Titre: Temporally stable coherent states for infinite well and Pöschl-Teller potentials
Références: Journal of Mathematical Physics 42 (2001) pp. 2349-2387
Résumé: This paper is a direct illustration of a construction of coherent states which has been recently proposed by two of us (JPG and JK). We have chosen the example ot a particle trapped in an infinite square-well and also in Pöschl-Teller potentials of the trigonometric type. In the construction of the corresponding coherent states, we take advantage of the simplicity of the solutions, which ultimately stems from the fact they share a common $SU(1,1)$ symmetry {\it à la} Barut--Girardello. Many properties of these states are then studied, both from mathematical and from physical points of view.


UCL-IPT-00-04 : (pdf)
Filet Séparateur

Auteurs: Jean Bricmont, A. Kupiainen and R. Lefevere
Titre: Ergodicity of the 2D Navier-Stokes equations with random forcing
Références: Communications in Mathematical Physics 224 (2001) pp. 65-81
Résumé: We consider the Navier-Stokes equation on a two dimensional torus with a random force, acting at discrete times and analytic in space, for arbitrarily small viscosity coefficient. We prove the existence and uniqueness of the invariant measure for this system as well as exponential mixing in time.


UCL-IPT-99-12
Filet Séparateur

Auteurs: Jean-Pierre Antoine, C. Chauvin, A. Coron
Titre: Wavelets and related time-frequency techniques in Magnetic Resonance Spectroscopy
Références: NMR in Biomedicine 14 pp. 265-270 (2001)
Résumé: We survey the various applications in MRS of the wavelet transform and related time-frequency methods. For the sake of completeness, we first quickly review the mathematical tools needed.


UCL-IPT-99-08
Filet Séparateur

Auteurs: Jean-Marc Gérard, S. Pireaux
Titre: The observable light deflection angle
Références: Internal report (2001) (unpublished)
Résumé:


UCL-IPT-99-05 : (ps.gz)
Filet Séparateur

Auteurs: E. Van Vyve, P. Vandergheynst, A. Goldberg, Jean-Pierre Antoine and I. Doghri
Titre: Modelling and simulation of an impact test using wavelets, analytical and finite element models
Références: International J. of Solids and Structure 38 (2001) 5481-5508
Résumé: We discuss the results of several tests of instrumented falling weight impact in two cases, that of a rebound and that of a rupture in the sample. First we analyze the force signal by the continuous wavelet transform. This time-frequency method is able to locate precisely the moment of the rupture, if any, and also to detect the frequencies that are excited at the impact. In a second part, we perform a theoretical analysis of the event, both by an analytical method and by finite element modelling. These theoretical results confirm the experimental ones obtained in the first part.


UCL-IPT-96-24 : (pdf)
Filet Séparateur

Auteurs: Radelet-de Grave, Patricia
Titre: Mathématique, architecture et mécanique à l'école de François d'Aguillon et de Grégoire de Saint-Vincent
Références: Actes du Colloque Viola, Turin 1996, sous presse
Résumé: Le but de cet article ne sera pas de suivre un thème scientifique précis mais au contraire, comme l'œuvre de Viola nous y invite, d'établir des liens et des recoupements entre différents types de travaux historiques. Il s'agit principalement de recoupements entre travaux d'historiens de l'art , d'historiens de la compagnie de Jésus et d'historiens des sciences.









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