Les publications

Article dans une revue

2010

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Christian Berg, Christophe Vignat. On the density of the sum of two independent Student t-random vectors. Statistics and Probability Letters, 2010, 80 (13-14), pp.1043-1055. ⟨10.1016/j.spl.2010.02.019⟩. ⟨hal-00693454⟩

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Antoine Chevreuil, Angelo Plastino, Christophe Vignat. On a conjecture about Dirac's delta representation using q-Gaussians. Journal of Mathematical Physics, 2010, 51 (9), pp.093502. ⟨hal-00828456⟩

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Steeve Zozor, Christophe Vignat. Some results on the denoising problem in the elliptically distributed context. IEEE Transactions on Signal Processing, 2010, 58 (1), pp.134-150. ⟨10.1109/TSP.2009.2030840⟩. ⟨hal-00448934⟩

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2009

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Jean-François Bercher, Christophe Vignat. On minimum Fisher information distributions with restricted support and fixed variance. Information Sciences, 2009, 179 (1), pp.3832-3842. ⟨hal-00621947⟩

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Christophe Vignat, A. Plastino. Geometry of the central limit theorem in the nonextensive case. Physics Letters A, 2009, 373 (20), pp.1713--1718. ⟨10.1016/j.physleta.2009.03.029⟩. ⟨hal-00693545⟩

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Christophe Vignat, A. Plastino. Why is the detection of q-Gaussian behavior such a common occurrence?. Physica A: Statistical Mechanics and its Applications, 2009, 388 (5), pp.601-608. ⟨10.1016/j.physa.2008.11.001⟩. ⟨hal-00693560⟩

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Christophe Vignat, P. W. Lamberti. A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces. Journal of Mathematical Physics, 2009, 50 (10), ⟨10.1063/1.3227659⟩. ⟨hal-00693543⟩

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2008

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Jean-François Bercher, Christophe Vignat. A new look at q-exponential distributions via excess statistics. Physica A: Statistical Mechanics and its Applications, 2008, 387 (22), pp.5422-5432. ⟨10.1016/j.physa.2008.05.038⟩. ⟨hal-00621920⟩

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Steeve Zozor, Mariela Portesi, Christophe Vignat. Some extensions of the uncertainty principle. Physica A: Statistical Mechanics and its Applications, 2008, 37 (19-20), pp.4800-4808. ⟨10.1016/j.physa.2008.04.010⟩. ⟨hal-00282882⟩

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2007

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Oliver Johnson, Christophe Vignat. Some results concerning maximum Renyi entropy distributions. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2007, 43 (3), pp.339-351. ⟨10.1016/j.anihpb.2006.05.001⟩. ⟨hal-00621832⟩

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Christophe Vignat, Angelo Plastino. Central limit theorem and deformed exponentials. Journal of Physics A: Mathematical and Theoretical, 2007, 40 (1), pp.F969-F978. ⟨hal-00621839⟩

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Christophe Vignat, Angelo Plastino. Scale invariance and related properties of q-Gaussian systems. Physics Letters A, 2007, 365 (5-6), pp.370-375. ⟨hal-00621840⟩

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Christophe Vignat, Angelo Plastino. Estimation in a fluctuating medium and power-law distributions. Physics Letters A, 2007, 360 (1), pp.415-418. ⟨hal-00621841⟩

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Steeve Zozor, Christophe Vignat. On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles. Physica A: Statistical Mechanics and its Applications, 2007, 375, pp.499-517. ⟨10.1016/j.physa.2006.09.019⟩. ⟨hal-00096865⟩

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2006

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Pierre-Olivier Amblard, Christophe Vignat. A note on bounded entropies. Physica A: Statistical Mechanics and its Applications, 2006, 365, pp.50--56. ⟨10.1016/j.physa.2006.01.002⟩. ⟨hal-00136333⟩

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Angelo Plastino, Christophe Vignat. Poincare's Observation and the Origin of Tsallis Generalized Canonical Distributions. Physica A: Statistical Mechanics and its Applications, 2006, 365 (1), pp.167-172. ⟨hal-00621843⟩

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Christophe Vignat, Angelo Plastino. Stochastic invertible mappings for Tsallis distributions. Comptes Rendus. Physique, 2006, 7 (3-4), pp.442-448. ⟨hal-00621844⟩

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Christophe Vignat, A. Plastino. Power-law random walks. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2006, 74 (5), ⟨10.1103/PhysRevE.74.051124⟩. ⟨hal-00693730⟩

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Christophe Vignat, Angelo Plastino, Angelo R. Plastino. Correlated Gaussian Systems exhibiting additive Power-Law Entropies. Physics Letters A, 2006, 354 (1-2), pp.27-30. ⟨hal-00621837⟩

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2005

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Florence Sagnard, F. Bentabet, Christophe Vignat. In situ measurements of the complex permittivity of materials using reflection ellipsometry in the microwave band: theory (part I). IEEE Transactions on Instrumentation and Measurement, 2005, 34 (3), pp.1266-1273. ⟨10.1109/TIM.2005.847203⟩. ⟨hal-00772981⟩

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Florence Sagnard, F. Bentabet, Christophe Vignat. In situ measurements of the complex permittivity of materials using reflection ellipsometry in the microwave band: experiments (Part II). IEEE Transactions on Instrumentation and Measurement, 2005, 54 (3), pp.1274-1282. ⟨10.1109/TIM.2005.847199⟩. ⟨hal-00772989⟩

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F. Sagnard, Christophe Vignat. Extension of the analytical modelling of resistive loaded thin-wire antennas to Gaussian derivatives excitations. Microwave and Optical Technology Letters, 2005, 47 (6), pp.548-553. ⟨hal-00621847⟩

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Christophe Vignat, Angelo Plastino, Angelo R. Plastino. Superstatistics based on the microcanonical ensemble. Nuovo Cimento B, 2005, 120 (9), pp.951-963. ⟨hal-00621838⟩

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Christophe Vignat, J. Naudts. Stability of families of probability distributions under reduction of the number of degrees of freedom. Physica A: Statistical Mechanics and its Applications, 2005, 350 (2-4), pp.296-302. ⟨hal-00621825⟩

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Christophe Vignat, Angelo Plastino. The p-sphere and the geometric substratum of power law probability distributions. Physics Letters A, 2005, 343 (6), pp.411-416. ⟨hal-00621842⟩

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2003

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P. Harremoës, Christophe Vignat. An Entropy Power Inequality for the binomial family. Journal of Inequalities in Pure and Applied Mathematics, 2003, 4 (5), 10pp. ⟨hal-00621718⟩

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Christophe Vignat, Jean-François Bercher. On Fisher Information Inequalities and Score Functions in non-invertible Linear Systems. JIPAM, 2003, 4 (4), 10pp. ⟨hal-00621782⟩

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Christophe Vignat, Jean-François Bercher. Analysis of signals in the Fisher-Shannon information plane. Physics Letters A, 2003, 312 (1), pp.27-33. ⟨hal-00621781⟩

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2000

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Jean-François Bercher, Christophe Vignat. Estimating the entropy of a signal with applications. IEEE Transactions on Signal Processing, 2000, 48 (6), pp.1687-1694. ⟨hal-00621665⟩

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Florence Sagnard, Faroudja Bentabet, Christophe Vignat. Theoretical Study of Methods based on Ellipsometry for measurement of complex Permittivity of Materials. Electronics Letters, 2000, ? (22), pp.1843-45. ⟨hal-00621854⟩

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Communication dans un congrès

2009

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Christophe Vignat, Jean-François Bercher. Geometric aspects of the non-extensive statistical theory. Maximum Entropy and Bayesian Methods (MaxEnt'09), Jul 2009, France. 10pp. ⟨hal-00621944⟩

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Steeve Zozor, Christophe Vignat. Estimation MAP pour des variables elliptiquement distribuées. GRETSI 2009 - XXIIème Colloque francophone de traitement du signal et des images, Sep 2009, Dijon, France. ⟨hal-00436593⟩

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Steeve Zozor, Christophe Vignat. On the MAP estimation in the context of elliptical distributions. EUSIPCO 2009 - 17th European Signal Processing Conference, Aug 2009, Glasgow, United Kingdom. pp.2460-2464. ⟨hal-00436588⟩

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2008

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Jean-François Bercher, Christophe Vignat. An Entropic View of Pickands' Theorem. International Symposium on Information Theory (ISIT 2008), Jul 2008, Toronto, Canada. pp.2625-2628, ⟨10.1109/ISIT.2008.4595467⟩. ⟨hal-00621924⟩

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Steeve Zozor, Christophe Vignat. Revisiting the denoising problem in the context of elliptical distributions. EUSIPCO 2008 - 16th European Signal Processing Conference, Aug 2008, Lausanne, Switzerland. pp.cd rom. ⟨hal-00282969⟩

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Steeve Zozor, Mariela Portesi, Christophe Vignat. Some entropic extensions of the uncertainty principle. ISIT 2008 - IEEE International Symposium on Information Theory, Jul 2008, Toronto, Canada. pp.1676-1680, ⟨10.1109/ISIT.2008.4595273⟩. ⟨hal-00282363⟩

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2007

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Steeve Zozor, Christophe Vignat. Forme entropique du principe d'incertitude et cas d'égalité asymptotique. GRETSI 2007 - XXIème Colloque francophone de traitement du signal et des images, Sep 2007, Troyes, France. ⟨hal-00147943⟩

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2006

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P. Harremoës, Christophe Vignat. Renyi entropies of Projections. ISIT, 2006, France. pp.1827-1830. ⟨hal-00621846⟩

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Steeve Zozor, Christophe Vignat. Non-Gaussian asymptotic minimizers in entropic uncertainty principle and the dimensional effect. IEEE International Symposium on Information Theory (ISIT), 2006, Seattle, United States. pp.2085-2089, ⟨10.1109/ISIT.2006.261918⟩. ⟨hal-00069363⟩

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Steeve Zozor, Christophe Vignat. Non-Gaussian asymptotic minimizers in entropic uncertainty principles and the dimensional effect. ISIT, 2006, France. pp.2085-2089. ⟨hal-00621834⟩

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2003

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Christophe Vignat, J. Costa, A. Hero. On Solutions to Multivariate Maximum alpha-entropy Problems. EMMCVPR 2003, Lisbon, 7-9 July 2003, Lecture Notes in Computer Science, Springer-Verlag, Vol. 2683, pp. 211 - 228, 2003, France. 10pp. ⟨hal-00621785⟩

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2002

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J.A. Costa, A.O. Hero, Christophe Vignat. A characterization of the multivariate distributions maximizing Renyi entropy. IEEE International Symposium on Information Theory ISIT 2002, Lausanne, Page(s): 263 -263, 2002, France. 10pp. ⟨hal-00621698⟩

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F. Sagnard, D. Seetharamdoo, Christophe Vignat. Reflection ellipsometry for in-situ measurements of complex permittivity and thickness of a single-layer material at microwave frequencies : Theory and Experiments. 32nd EUMC, Sep 2002, Milan, France. 10pp. ⟨hal-00621814⟩

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Christophe Vignat, Jean-François Bercher. Matrix Fisher inequalities for non-invertible linear systems. IEEE International Symposium on Information Theory ISIT 2002, Lausanne, Page(s): 237 -237, 2002, France. 10pp. ⟨hal-00621784⟩

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Christophe Vignat, Jean-François Bercher. A Renyi entropy convolution inequality with application. EUSIPCO 2002, Toulouse, 2002, France. 10pp. ⟨hal-00621783⟩

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2001

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S. Mengué, Christophe Vignat. Space: a Toolbox for the Simulation of Analog Electronic Circuits. Nordic Matlab Conference, Oct 2001, Oslo, France. pp.56-59. ⟨hal-00621794⟩

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Stéphanie Mengué, Christophe Vignat, François Davoust, Loïc Gridaine. Space: un environnement de simulation de circuits analogiques simple et convivial sous Matlab. CETSIS E.E.A., 2001, Clermont-Ferrand, France, France. pp.245-248. ⟨hal-00621756⟩

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F. Sagnard, Christophe Vignat, V. Moncourtois, E. Rolland. Détermination de la permittivité complexe de matériaux de construction dans le domaine micro-onde : Comparaison des méthodes de Fresnel et d'ellipsométrie micro-onde par réflexion. Journées Nationales Microondes, (JNM), Poitiers Futuroscope, 16-18 mai 2001, 2001, France. 10pp. ⟨hal-00621773⟩

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Florence Sagnard, Christophe Vignat, Valérie Montcourtois, Emmanuel Rolland. Microwave measurements of the complex permittivity of construction materials using Fresnel reflection coefficients and reflection ellipsometry. 2001 IEEE AP-S International symposium and USNC/URSI national radio science meeting, Boston, July 8-13 2001, pp. 626-29, 2001, France. 10pp. ⟨hal-00621774⟩

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F. Sagnard, Christophe Vignat, S. Corral, V. Moncourtois. ECAMO et CREMO: deux interfaces graphiques pour comprendre par l'expérimentation le rayonnement et la propagation des ondes électromagnétiques dans le domaine micro-ondes. CETSIS E.E.A. 2001, Clermont-Ferrand, pp. 325-28, 2001, France. 10pp. ⟨hal-00621772⟩

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2000

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Christophe Vignat, S. Valléry. ZeroPole: a new tool for teaching filter theory and design. Proceedings of the First IEEE Workshop on Signal Processing Education, Hunt, October 15-18 2000, 2000, France. 10pp. ⟨hal-00621788⟩

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1999

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Jean-François Bercher, Christophe Vignat. Estimating the entropy of a signal with applications. IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings ICASSP99, 1999, France. pp.1705. ⟨hal-00621667⟩

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Antoine Chevreuil, Christophe Vignat. Unbiased adaptive equalization: the Gaussian kernel contrast functions. Thirty-Third Asilomar Conference on Signals, Systems, and Computers vol.1, 1999, pp.539-43 vol.1, 1999, France. 10pp. ⟨hal-00621689⟩

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C. Simon, Philippe Loubaton, Christophe Vignat, Christian Jutten, G. D. Urso. Separation of a class of convolutive mixtures: a contrast function approach. Proceedings. ICASSP99, 1999, France. pp.1429-32. ⟨hal-00621855⟩

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Christophe Vignat, Jean-François Bercher. Un estimateur récursif de l'entropie. 17eme Groupe de recherche et d'études du traitement du signal et des images (GRETSI'99), Sep 1999, Vannes, France. pp.701-704. ⟨hal-00621815⟩

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1998

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C. Simon, Christophe Vignat, Philippe Loubaton, Christian Jutten, G. D. Urso. On the convolutive mixture - source separation by the decorrelation approach. Proc. ICASSP-98, Seattle, May 1998, France. pp.2109-2112. ⟨hal-00621857⟩

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C. Simon, Philippe Loubaton, Christophe Vignat, Christian Jutten, G. D. Urso. Blind source separation of convolutive mixtures by maximization of fourth-order cumulants : the non i.i.d. case. Proc. Asilomar-98, Nov 1998, France. pp.1584-88. ⟨hal-00621856⟩

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1997

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C. Simon, Christophe Vignat, Philippe Loubaton, Christian Jutten, G. D. Urso. Quelques remarques méthodologiques concernant la séparation des mélanges convolutifs par l'approche de décorrélation. Actes du seizième colloque GRETSI, Sep 1997, France. pp.11-14. ⟨hal-00621858⟩

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1996

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Christophe Vignat, Philippe Loubaton. Blind beamforming in a cyclostationnary context using an optimally weighted quadratic cost function. Proc. EUSIPCO-96, Sep 1996, France. pp.2101-2104. ⟨hal-00621787⟩

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