Search results for "LYN"

showing 10 items of 910 documents

Darboux systems with a cusp point and pseudo-abelian integrals

2018

International audience; We study pseudo-abelian integrals associated with polynomial deformations of Darboux systems having a cuspidal singularity. Under some genericity hypothesis we provide locally uniform boundedness of on the number of their zeros.

[ MATH ] Mathematics [math]Cusp (singularity)Pure mathematicsPolynomialApplied Mathematics[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]010102 general mathematics[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Darboux integrability[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Pseudo-abelian integrals[MATH] Mathematics [math]01 natural sciences010101 applied mathematicsLimit cyclesSingularityUniform boundednessPoint (geometry)First integral0101 mathematicsAbelian groupMSC : 34C07 ; 34C08[MATH]Mathematics [math]AnalysisMathematics
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A cubic defining algebra for the Links-Gould polynomial

2012

We define a finite-dimensional cubic quotient of the group algebra of the braid group, endowed with a (essentially unique) Markov trace which affords the Links-Grould invariant of knots and links. We investigate several of its properties, and state several conjectures about its structure.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT][MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA][ MATH.MATH-QA ] Mathematics [math]/Quantum Algebra [math.QA]Links-Gould polynomialGeometric Topology (math.GT)braid groupMathematics::Geometric TopologyMarkov traceMathematics - Geometric Topology57M27[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]Mathematics - Quantum AlgebraFOS: Mathematics[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]quantum invariantsQuantum Algebra (math.QA)knots and links[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
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Event-Based Trajectory Prediction Using Spiking Neural Networks

2021

International audience; In recent years, event-based sensors have been combined with spiking neural networks (SNNs) to create a new generation of bio-inspired artificial vision systems. These systems can process spatio-temporal data in real time, and are highly energy efficient. In this study, we used a new hybrid event-based camera in conjunction with a multi-layer spiking neural network trained with a spike-timing-dependent plasticity learning rule. We showed that neurons learn from repeated and correlated spatio-temporal patterns in an unsupervised way and become selective to motion features, such as direction and speed. This motion selectivity can then be used to predict ball trajectory…

[INFO.INFO-AI] Computer Science [cs]/Artificial Intelligence [cs.AI]PolynomialComputer scienceNeuroscience (miscellaneous)Neurosciences. Biological psychiatry. Neuropsychiatry02 engineering and technologyunsupervised learningSNN[INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI]STDP03 medical and health sciencesCellular and Molecular Neuroscience0302 clinical medicineLearning rule0202 electrical engineering electronic engineering information engineeringEvent (probability theory)Original ResearchSpiking neural networkQuantitative Biology::Neurons and Cognitionmotion selectivitybusiness.industry[SCCO.NEUR]Cognitive science/Neuroscience[SCCO.NEUR] Cognitive science/NeuroscienceProcess (computing)Pattern recognitionspiking cameraTrajectoryball trajectory predictionUnsupervised learning020201 artificial intelligence & image processingArtificial intelligencebusiness030217 neurology & neurosurgeryEfficient energy useNeuroscienceRC321-571Frontiers in Computational Neuroscience
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New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology

2007

We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $2k$-Lie algebras, generalized Poisson brackets and so on.

[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]2k-Lie algebrasstandard polynomial.standard polynomial[ MATH.MATH-RT ] Mathematics [math]/Representation Theory [math.RT]Deformation theoryGerstenhaber-Nijenhuis bracketFOS: Mathematicsgraded Lie algebrasquadratic Lie algebra[MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT]Representation Theory (math.RT)Gerstenhaber bracketcyclic cohomologysuper Poisson bracketsMathematics - Representation TheorySchouten bracket17B70 17B05 17B20 17B56 17B60 17B65
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Quantizations from reproducing kernel spaces

2012

Abstract The purpose of this work is to explore the existence and properties of reproducing kernel Hilbert subspaces of L 2 ( C , d 2 z / π ) based on subsets of complex Hermite polynomials. The resulting coherent states (CS) form a family depending on a nonnegative parameter s . We examine some interesting issues, mainly related to CS quantization, like the existence of the usual harmonic oscillator spectrum despite the absence of canonical commutation rules. The question of mathematical and physical equivalences between the s -dependent quantizations is also considered.

[PHYS]Physics [physics]PhysicsPure mathematicsHermite polynomials010102 general mathematicsSpectrum (functional analysis)FOS: Physical sciencesGeneral Physics and AstronomyMathematical Physics (math-ph)coherent states16. Peace & justice01 natural sciencesLinear subspaceQuantization (physics)Kernel (statistics)0103 physical sciencesCoherent statesCommutation0101 mathematics[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]010306 general physicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsComputingMilieux_MISCELLANEOUSHarmonic oscillatorAnnals of Physics
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18 parameter deformations of the Peregrine breather of order 10 solutions of the NLS equation

2015

We present here new solutions of the focusing one-dimensional nonlinear Schrödinger (NLS) equation which appear as deformations of the Peregrine breather of order 10 with 18 real parameters. With this method, we obtain new families of quasi-rational solutions of the NLS equation, and we obtain explicit quotients of polynomial of degree 110 in x and t by a product of an exponential depending on t. We construct new patterns of different types of rogue waves and recover the triangular configurations as well as rings and concentric rings as found for the lower-orders.

[PHYS]Physics [physics]PolynomialBreatherMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsComputer Science ApplicationsExponential functionsymbols.namesakeNonlinear systemComputational Theory and MathematicsProduct (mathematics)symbolsPeregrine solitonRogue wave[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]Nonlinear Sciences::Pattern Formation and SolitonsMathematical PhysicsSchrödinger's catComputingMilieux_MISCELLANEOUSMathematics
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Study of mechanisms of action of an immunotherapy by triacyl lipid A in humans

2013

Immunotherapy acting at the primary tumor site and preventing the development of metastases is one of the strategies for treatment of patients with cancer. To improve the efficiency of the latter, it is necessary to understand how it induces tumor cell death. In the laboratory, it was observed the cure of PROb tumors in rats BDIX by the triacyl lipid A. It has been shown that this effect involved the immune system involving interactions with TLRs present in many tumor cells and innate immunity cells such as neutrophils.In this work, we investigated the possible involvement of neutrophils in the antitumor activity of triacyl lipid A in humans.In a Phase 1 study in patients with refractory so…

[SDV.MHEP] Life Sciences [q-bio]/Human health and pathologyGranzyme BPolynucléaires neutrophilesImmunothérapie[ SDV.MHEP ] Life Sciences [q-bio]/Human health and pathologyNo english keywordPhase 1Triacyl lipide A[SDV.MHEP]Life Sciences [q-bio]/Human health and pathologyChimio attractantsCancer
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Archéophytes et néophytes.Pour une nouvelle détermination des marqueurs polliniques de l'anthropisation. Le cas des milieux cultivés et rudéraux de F…

2007

297p. de synthèse, annexes p.299-414, 15 articles en soumission Diplôme : Dr. d'Universite

[SDV] Life Sciences [q-bio][SDE] Environmental SciencesARABLE WEED-FLORARUDERAL FLORAARCHAEOPHYTESANTHROPOGENIC POLLEN INDICATORS[SDV]Life Sciences [q-bio]MULTIVARIATE ANALYSIS[SDE]Environmental SciencesPALYNOLOGYPOLLEN/VEGETATION RELATIONSHIPNEOPHYTES
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Le nouveau statut de la Polynésie française

1999

International audience

[SHS.DROIT]Humanities and Social Sciences/Law[SHS.DROIT] Humanities and Social Sciences/LawPolynésie françaiseComputingMilieux_MISCELLANEOUSOutre-merCOLLECTIVITE TERRITORIALEDroit applicable outre-mer
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Cinq millénaires de métallurgie en montagne basque. Les apports d'une démarche intégrée alliant palynologie et géochimie isotopique du plomb

2001

Five thousand years of metallurgy in the basque mountains : the contributions of an integrated process mixing palynology and the isotopic chemistry of lead. An interdisciplinary research combining palyno- logy and lead isotopic geochemistry was performed in a peat bog of the Basque Country, in an area recognized as being an old metallurgical centre. These various analyses make it possible to reconstitute mining and metallurgical activities and to appreciate the impact on forest during last five millennia. Several phases are attested between late Neolithic and modern times (Middle Bronze age, Late Bronze age, Antiquity and finally modern time). Most of these phases are clearly related to for…

[SHS.GEO] Humanities and Social Sciences/GeographyGeography Planning and Development[SHS.GEO]Humanities and Social Sciences/GeographyMétallurgiePays Basquepalinología ; metalurgia ; geoquímica ; historia del medio ambiental ; País Vascopalynologie ; pays basque ; géochimie ; Métallurgie ; histoire de l'environnement[ SHS.GEO ] Humanities and Social Sciences/GeographyUrban StudiesPays Basque ; palynology ; geochemistry ; metallurgy ; environmental historygéochimiehistoire de l'environnementpalynologieEarth-Surface ProcessesDemography
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