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Apodictic discourse and the Cauchy-Bunyakovsky-Schwarz inequality ; Discours apodictique et inégalité de Cauchy-Bunyakovsky-Schwarz
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In: ISSN: 0970-0307 ; Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics ; https://hal.archives-ouvertes.fr/hal-03643571 ; Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics, Prints Publications Pvt., In press (2022)
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Towards an international lexicon
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In: ISSN: 1863-9690 ; EISSN: 1863-9704 ; ZDM ; https://hal.archives-ouvertes.fr/hal-03625972 ; ZDM, Springer Verlag, 2022, ⟨10.1007/s11858-022-01349-3⟩ (2022)
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Hitchcock, F. L., 1941, The Distribution of a Product from Several Sources to Numerous Localities. Version bilingue et commentée
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In: https://hal.archives-ouvertes.fr/hal-03565874 ; 2022 (2022)
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The contextual logic
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In: https://hal.archives-ouvertes.fr/hal-03195162 ; 2022 (2022)
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A gentle introduction to Girard's Transcendental Syntax for the linear logician
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In: https://hal.archives-ouvertes.fr/hal-02977750 ; 2022 (2022)
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Evolution and trade-off dynamics of functional load
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In: ISSN: 1099-4300 ; Entropy ; https://hal.archives-ouvertes.fr/hal-03630585 ; Entropy, MDPI, 2022, ⟨10.3390/e24040507⟩ (2022)
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| 7 |
Usages du Dictionnaire Électronique des Synonymes (DES) du CRISCO : focus sur les mots inexistants
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In: ISSN: 2607-0987 ; Le carnet de la MRSH ; https://halshs.archives-ouvertes.fr/halshs-03606075 ; 2022 (2022)
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| 8 |
Dialogical Logic
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In: ISSN: 1095-5054 ; Stanford Encyclopedia of Philosophy ; https://hal.archives-ouvertes.fr/hal-03651225 ; 2022, https://plato.stanford.edu/archives/sum2022/entries/logic-dialogical/ (2022)
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| 9 |
Game of Grounds
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In: Objects, Structures, and Logics ; https://hal.archives-ouvertes.fr/hal-03602786 ; Objects, Structures, and Logics, 339, Springer International Publishing, pp.259-286, 2022, Boston Studies in the Philosophy and History of Science, ⟨10.1007/978-3-030-84706-7_10⟩ (2022)
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| 10 |
Logiciel de calculs statistiques pour des données linguistiques
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In: https://hal.archives-ouvertes.fr/hal-03631733 ; 2022, ⟨swh:1:dir:f3daa115d74f59485bc7249c1ab40dcb5f4af412;origin=https://hal.archives-ouvertes.fr/hal-03631733;visit=swh:1:snp:913acafcd2699ecc9ef1f05543532e454b11b328;anchor=swh:1:rel:d520c0e78ee4276ff8af500da81d99f8f5e4a301;path=/⟩ (2022)
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| 11 |
Calculi of Epistemic Grounding Based on Prawitz’s Theory of Grounds
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In: ISSN: 0039-3215 ; EISSN: 1572-8730 ; Studia Logica ; https://hal.archives-ouvertes.fr/hal-03581352 ; Studia Logica, Springer Verlag (Germany), 2022, ⟨10.1007/s11225-021-09979-6⟩ (2022)
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| 12 |
Semiotic analysis of the scientific measurement of a quantity ; Analyse sémiotique de la mesure scientifique d'une grandeur
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In: La Sémiotique et ses horizons ; https://hal.archives-ouvertes.fr/hal-03556362 ; La Sémiotique et ses horizons, 2022 (2022)
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| 13 |
Plurilinguisme et enseignement des mathématiques ; Plurilinguisme et enseignement des mathématiques: Mise en perspectives des Journées Plurimaths 2020
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In: https://hal.archives-ouvertes.fr/hal-03553842 ; Éditions Lambert-Lucas, 2022 (2022)
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| 14 |
A novel source-filter stochastic model for voice production
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In: ISSN: 0892-1997 ; Journal of Voice ; https://hal-upec-upem.archives-ouvertes.fr/hal-03179837 ; Journal of Voice, Elsevier, 2021, In Press, pp.1-11. ⟨10.1016/j.jvoice.2020.11.015⟩ (2021)
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| 15 |
Designing meta-resources for mathematics teachers in the context of curriculum reforms: the case of digital technology use and student autonomy in France
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In: ISSN: 1863-9690 ; EISSN: 1863-9704 ; ZDM ; https://hal.archives-ouvertes.fr/hal-03378201 ; ZDM, Springer Verlag, 2021, ⟨10.1007/s11858-021-01299-2⟩ (2021)
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| 16 |
Grounding, Quantifiers, and Paradoxes
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In: ISSN: 0022-3611 ; EISSN: 1573-0433 ; Journal of Philosophical Logic ; https://hal.archives-ouvertes.fr/hal-03187627 ; Journal of Philosophical Logic, Springer Verlag, 2021, 50, pp.1417-1448. ⟨10.1007/s10992-021-09604-w⟩ (2021)
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| 17 |
Argumentation of Prospective Mathematics Teachers in Fraction Tasks Mediated by an Online Assessment System With Automatic Feedback
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In: Eurasia Journal of Mathematics, Science and Technology Education ; https://hal.archives-ouvertes.fr/hal-03538861 ; Eurasia Journal of Mathematics, Science and Technology Education, 2021, 17 (12), pp.em2055. ⟨10.29333/ejmste/11425⟩ (2021)
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| 18 |
A precise bare simulation approach to the minimization of some distances. Foundations
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In: https://hal.archives-ouvertes.fr/hal-03278232 ; 2021 (2021)
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| 19 |
Constrained control of gene-flow models
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In: https://hal.archives-ouvertes.fr/hal-02373668 ; 2021 (2021)
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Abstract:
In ecology and population dynamics, gene-flow refers to the transfer of a trait (e.g. genetic material) from one population to another. This phenomenon is of great relevance in studying the spread of diseases or the evolution of social features, such as languages. From the mathematical point of view, gene-flow is modelled using bistable reaction-diffusion equations. The unknown is the proportion $p$ of the population that possesses a certain trait, within an overall population $N$. In such models, gene-flow is taken into account by assuming that the population density $N$ depends either on $p$ (if the trait corresponds to fitter individuals) or on the location $x$ (if some zones in the domain can carry more individuals). Recent applications stemming from mosquito-borne disease control problems or from the study of bilingualism have called for the investigation of the controllability properties of these models. At the mathematical level, this corresponds to boundary control problems and, since we are working with proportions, the control $u$ has to satisfy the constraints $0\leq u \leq 1$. In this article, we provide a thorough analysis of the influence of the gene-flow effect on boundary controllability properties. We prove that, when the population density $N$ only depends on the trait proportion $p$, the geometry of the domain is the only criterion that has to be considered. We then tackle the case of population densities $N$ varying in $x$. We first prove that, when $N$ varies slowly in $x$ and when the domain is narrow enough, controllability always holds. This result is proved using a robust domain perturbation method. We then consider the case of sharp fluctuations in $N$: we first give examples that prove that controllability may fail. Conversely, we give examples of heterogeneities $N$ such that controllability will always be guaranteed: in other words the controllability properties of the equation are very strongly influenced by the variations of $N$. All negative controllability results are proved by showing the existence of non-trivial stationary states, which act as barriers. The existence of such solutions and the methods of proof are of independent interest. Our article is completed by several numerical experiments that confirm our analysis.
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Keyword:
34F10; 35K57; [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]; [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]; [MATH]Mathematics [math]; AMS classification:49J20; bistable equations; Control; gene- flow models; geneflow models; non-controllability; reaction-diffusion equations; spatial heterogeneity; staircase method
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URL: https://hal.archives-ouvertes.fr/hal-02373668v3/document
https://hal.archives-ouvertes.fr/hal-02373668
https://hal.archives-ouvertes.fr/hal-02373668v3/file/ControlHeterogeneousV5.pdf
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| 20 |
Abundance of rational points ; Abondance de points rationnels
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In: https://tel.archives-ouvertes.fr/tel-03514052 ; Algebraic Geometry [math.AG]. Université Paris-Saclay; Scuola normale superiore (Pise, Italie), 2021. English. ⟨NNT : 2021UPASM049⟩ (2021)
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