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Journal articles on the topic 'There are none'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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1

Wallace, Paul. "eGEMs: An Opportunity for Better Science." eGEMs (Generating Evidence & Methods to improve patient outcomes) 1, no. 1 (2013): 6. http://dx.doi.org/10.13063/none.

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2

Chapman, Peter M. "Selenium: When a Good Nutrient Goes Bad." Integrated Environmental Assessment and Management 5, no. 3 (2009): 363. http://dx.doi.org/10.1897/none.1.

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3

Kotorova, E. G. "None." Tomsk Journal of Linguistics and Anthropology, no. 3 (2019): 152–56. http://dx.doi.org/10.23951/2307-6119-2019-3-25-152-156.

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4

Дамбуев, Игорь Александрович. "None." Tomsk Journal of Linguistics and Anthropology, no. 2(28) (September 18, 2020): 106–17. http://dx.doi.org/10.23951/2307-6119-2020-2-106-117.

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Статья посвящена исследованию употребления бурятского цветообозначения сагаан ‘белый’ в топонимии. Актуальность исследования обусловлена необходимостью более глубокого осмысления национально-культурного своеобразия бурятской топонимии, способного выявить особенности ментальности монгольских народов и более адекватно представлять бурятскую топонимическую лексику в лексикографических изданиях. Новизна исследования заключается в том, что впервые в качестве объекта исследования выступает употребление бурятского цветообозначения в топонимии этнической Бурятии. В работе рассматривается на материале

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Harrison, Gerald K., and Julia Tanner. "None." Philosophers' Magazine, no. 75 (2016): 72–77. http://dx.doi.org/10.5840/tpm201675133.

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6

Im SeongSoon. "None." Seoul Tax Law Review 23, no. 1 (2017): 415–48. http://dx.doi.org/10.16974/stlr.2017.23.1.010.

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Chang Hee Lee. "none." Seoul Tax Law Review 23, no. 1 (2017): 449–542. http://dx.doi.org/10.16974/stlr.2017.23.1.011.

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8

Ahn Kyeong-Bong. "none." Seoul Tax Law Review 23, no. 1 (2017): 543–47. http://dx.doi.org/10.16974/stlr.2017.23.1.012.

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9

Beom June Kim. "none." Seoul Tax Law Review 23, no. 1 (2017): 549–50. http://dx.doi.org/10.16974/stlr.2017.23.1.013.

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황남석. "none." Seoul Tax Law Review 23, no. 1 (2017): 551–52. http://dx.doi.org/10.16974/stlr.2017.23.1.014.

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A, Dr Suchetha. "None." RGUHS Journal of Dental Sciences 11, no. 1 (2019): 1. http://dx.doi.org/10.26715/rjds.11_1_1.

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Verwey, Sonja. "none." Communicare: Journal for Communication Studies in Africa 16, no. 2 (2022): 1. http://dx.doi.org/10.36615/jcsa.v16i2.1886.

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13

Mbassa, Benoît Joseph, Jesús Solé, Daouda Dawaï, et al. "None." Comptes Rendus. Géoscience 357, G1 (2025): 145–65. https://doi.org/10.5802/crgeos.289.

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The tectonic evolution of the Central African Pan-African Fold Belt in Cameroon has been intensively studied during the last two decades. However, the timing of the last stages of the Pan-African orogenic cycle is still not well constrained, thus leading to controversial interpretations. The present work provides new insights into the late Pan-African tectonic evolution of the Adamawa-Yadé domain. It includes a complex crustal assemblage of the Central African Pan-African Fold Belt, which has undergone a polycyclic evolution since the Palaeoproterozoic. We infer the late Pan-African events of

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14

Lelièvre, Tony, Dorian Le Peutrec, and Boris Nectoux. "None." Journal de l’École polytechnique — Mathématiques 12 (June 11, 2025): 881–982. https://doi.org/10.5802/jep.303.

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Let (X t ) t≥0 be the stochastic process solution to the overdamped Langevin dynamicsdX t =-∇f(X t )dt+hdB t and let Ω⊂ℝ d be the basin of attraction of a local minimum of f:ℝ d →ℝ. Up to a small perturbation of Ω to make it smooth, we prove that the exit rates of (X t ) t≥0 from Ω through each of the saddle points of f on ∂Ω can be parametrized by the celebrated Eyring-Kramers laws, in the limit h→0. This result provides firm mathematical grounds to jump Markov models which are used to model the evolution of molecular systems, as well as to some numerical methods which use these underlying ju

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15

Ball, Steven, Denis Baurain, Marie Leleu, et al. "None." Comptes Rendus. Biologies 348, G1 (2025): 107–35. https://doi.org/10.5802/crbiol.176.

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Endosymbionts are very common in nature, offering multiple occasions to recapitulate events that have led to the generation of mitochondria and plastids. However, both these organelles are unique because they are thought to derive from two individual events that gave rise to all eukaryotes and the plastids in algae and plants (excluding Paulinella chromatophora), respectively. This review focuses on the differences and similarities existing between extant endosymbionts and the two major endosymbiont derived organelles: the mitochondria and plastids. Emphasis is put on recent developments that

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Berk, Przemysław, Frank Trujillo, and Hao Wu. "None." Journal de l’École polytechnique — Mathématiques 12 (June 11, 2025): 853–80. https://doi.org/10.5802/jep.302.

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We prove that skew products with the cocycle given by the function f(x)=a(x-1/2) with a≠0 are ergodic for every ergodic symmetric IET in the base, thus giving the full characterization of ergodic extensions in this family. Moreover, we prove that under an additional natural assumption of unique ergodicity on the IET, we can replace f with any differentiable function with a non-zero sum of jumps. Finally, by considering weakly mixing IETs instead of just ergodic, we show that the skew products with cocycle given by f have infinite ergodic index.

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Chupryna, Anastasia, Jeremie Aubineau, Olabode Bankole, et al. "None." Comptes Rendus. Géoscience 357, G1 (2025): 201–23. https://doi.org/10.5802/crgeos.296.

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The Ediacaran to Silurian geological interval of the Podolia Basin, southwestern Ukraine, is associated with significant environmental change and biodiversification of morphologically complex biota. Using a multiproxy approach, including total Nitrogen (TN), nitrogen and carbon isotopes, total organic matter (TOC), and whole-rock geochemistry, we show that localised and transient nitrate scarcity may have persisted in otherwise oxygenated and nitrate-replete oceans during the period of extensive animal diversification. Bulk δ15Nbulk data suggest stable partial denitrification between the middl

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Join, Jean-Lambert, Julien Bonnier, Alain Clément, and Bertrand Fritz. "None." Comptes Rendus. Géoscience 357, G1 (2025): 167–83. https://doi.org/10.5802/crgeos.286.

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This study examines groundwater flow paths and geochemical processes in the Piton des Neiges volcano on Reunion Island. Using data from the Salazie Amont tunnel, bored at a depth of 1000 m under the planèze of Plaine des Fougères, we characterise groundwater composition and weathering processes in volcanic terrains. The study area features high permeability in shallow lava flows, enabling deep water infiltration, but also demonstrates a decrease in permeability with increasing depth due to mineral precipitation of secondary phases, mainly clays.Reactive transport in the vadose and phreatic zon

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Juncal, Manuel Antonio, Iván Rodriguez Barreiro, Jean Galtier, et al. "None." Comptes Rendus. Géoscience 357, G1 (2025): 245–63. https://doi.org/10.5802/crgeos.294.

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The Muse oil-shale beds (Muse OSB) of the Permian Muse Formation in the Autun Basin (France) have received attention for their exceptionally well-preserved flora and fauna throughout many decades. Recent CA-ID-TIMS U/Pb radiometric datings place the Muse section in the lower Asselian (~298.6 Ma), leading to a re-examination of the palynoflora using an alternative palynological method. Twelve productive samples provide a detailed taxonomic and quantitative evaluation of the palynoflora. The new data revealed now two distinct palynological assemblages, Muse-A in the lower part and Muse-B in the

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Portal, Quentin, Jean-François Buoncristani, Benjamin Pohl, Romain Delunel, and Jean-Louis Mugnier. "None." Comptes Rendus. Géoscience 357, G1 (2025): 225–43. https://doi.org/10.5802/crgeos.297.

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Glacial cirques are key indicators of interactions between glaciers, climate, and topography. Moraine formation in glacial cirques is mainly influenced by periglacial and subglacial erosion processes, glacier dynamics, and topography. The intensity and spatio-temporal variability of erosion processes are climate-driven, yet climate is rarely considered in moraine formation. In this study, moraines formed during periods of glacier advances in several high-altitude cirques of the Mont Blanc, Aiguilles Rouges, and Gran Paradiso massifs were used as proxies for erosion to assess climate influence.

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21

Cornetti, Pietro, Vladislav Mantič, and Zohar Yosibash. "None." Comptes Rendus. Mécanique 353, G1 (2025): 725–45. https://doi.org/10.5802/crmeca.302.

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The determination of the remote stress causing crack propagation in an infinite 3D domain with an embedded flat elliptical crack is here revisited in the framework of the Coupled Criterion of Finite Fracture Mechanics. We started reviewing Linear Elastic Fracture Mechanics approaches, which differ by accounting for different infinitesimal crack growths. Then, we provide the solution based on Finite Fracture Mechanics: if the elliptical flaw is sufficiently small, the crack grows along iso-stress lines. For larger sizes, other crack growths may take place. Thus, the present investigation shows

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22

Magott, Rémi, Olivier Fabbri, Patrick Monié, and Marc Fournier. "None." Comptes Rendus. Géoscience 357, G1 (2025): 185–99. https://doi.org/10.5802/crgeos.293.

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Peridotites from two ophiolitic units of Alpine Corsica show outcrop-scale reverse faults whose dip angles follow a bimodal distribution (weak vs. steep angles). These faults are outlined by pseudotachylyte or cataclasite, and formed concurrently at 35–70 km depths, during the subduction of the Piemonte-Ligurian oceanic lithosphere beneath Apulia in Cretaceous to Eocene times. 40Ar/39Ar dating of pseudotachylyte indicates a 38.1 Ma age of formation. The faults are interpreted as reflecting, at the outcrop-scale, similar structures formed during the propagation, along the subduction interface,

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23

Schützhold, Ralf, and William George Unruh. "None." Comptes Rendus. Physique 25, S2 (2025): 1–10. https://doi.org/10.5802/crphys.252.

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By gluing together two sections of flat space-time in different metric representations (with the Minkowski metric representing the region far away from the black hole and the Rindler metric modeling the vicinity of the horizon), we construct a simplified toy model for black-hole evaporation. The simple structure of this toy model allows us to construct exact analytic solutions for the two-point functions in the various vacuum states (Israel–Hartle–Hawking, Unruh and Boulware states) in an easy way and thus helps to understand and disentangle the different ingredients for Hawking radiation bett

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24

Soula, Serge. "None." Comptes Rendus. Mécanique 353, G1 (2025): 747–60. https://doi.org/10.5802/crmeca.301.

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Les orages sont associés à des nuages de fort développement vertical appelés cumulonimbus qui abritent des régions chargées électriquement. Ils produisent des éclairs au sein du nuage et entre celui-ci et le sol. Au-dessus du nuage, plusieurs types de décharges électriques peuvent se produire et sont regroupés sous le terme TLE, de l’anglais Transient Luminous Event : les blue starters, les blue jets et les jets géants émergent du sommet nuageux et se différencient par l’altitude qu’ils atteignent (environ 20 km, 40 km et 90 km, respectivement), la région du nuage où ils démarrent et la polari

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25

Saintenoy, Albane, and Emmanuel Léger. "None." Comptes Rendus. Géoscience 357, G1 (2025): 283–98. https://doi.org/10.5802/crgeos.298.

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Ground-Penetrating Radar (GPR) provides high-resolution, non-invasive insights into the subsurface, making it an essential tool for assessing climate change impacts and managing infrastructure in Arctic and sub-Arctic environments. This review examines GPR applications in mapping and characterizing cold-region features to enhance our understanding of the Critical Zone at high latitudes. Specifically, we focus on permafrost, including its active layer and embedded ice structures, as well as glaciers and front moraine, ice sheets, and snow cover. Furthermore, driven by advancements in miniaturiz

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26

Andreasson, Rolf, and Robert J. Berman. "None." Journal de l’École polytechnique — Mathématiques 12 (June 17, 2025): 983–1018. https://doi.org/10.5802/jep.304.

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In our previous work we conjectured—inspired by an algebro-geometric result of Fujita—that the height of an arithmetic Fano variety 𝒳 of relative dimension n is maximal when 𝒳 is the projective space ℙ ℤ n over the integers, endowed with the Fubini-Study metric, if the corresponding complex Fano variety is K-semistable. In this work the conjecture is settled for diagonal hypersurfaces in ℙ ℤ n+1 . The proof is based on a logarithmic extension of our previous conjecture, of independent interest, which is established for toric log Fano varieties of relative dimension at most three, hyperplane ar

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27

Sirieix, Colette, Cécile Verdet, Joelle Riss, et al. "None." Comptes Rendus. Géoscience 357, G1 (2025): 265–81. https://doi.org/10.5802/crgeos.295.

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The Lascaux Cave has been studied and instrumented for over 60 years. Since 1963, the cave has been increasingly monitored in an effort to order to better examine and manage the various diseases and dissolution linked to environmental factors that have begun to emerge, risking damage to the rock art and the supporting rock. Over the past decade, non-invasive geophysical methods, particularly electrical resistivity tomography, have been employed to study the surrounding massif. This approach combines monthly measurements along profiles and 2D surveys at varying scales, locations and seasons, en

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Debat, Vincent, Manuela López-Villavicencio, and Violaine Llaurens. "None." Comptes Rendus. Biologies 348, G1 (2025): 137–48. https://doi.org/10.5802/crbiol.178.

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How do closely related species interact in sympatry? And how do these interactions influence the evolution of their traits and the dynamics of species diversification? In this review, we show how recent research on the evolution of Morpho butterflies contributes to address these questions. We first show how sympatric species have colonized different vertical strata in the neotropical forest and how this divergence has produced cascading adaptive effects on behavioural (flight) but also morphological traits, including wing size, shape and coloration. We then focus on the evolution of peculiar d

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29

Mouterde, Louis Michel Marie, and Florent Allais. "None." Comptes Rendus. Chimie 28, G1 (2025): 573–83. https://doi.org/10.5802/crchim.405.

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The development and application of biocatalysis have evolved significantly, from the classical use of commercial enzymes to the production, modification and implementation of non-commercially available enzymes, driving advancements in sustainable bioprocesses for bio-based chemical and material production. We have focused on combining chemistry, biocatalysis and process intensification, to create efficient (chemo)enzymatic routes capable of transforming renewable raw materials into valuable industrial products. The portfolio of biocatalysts has been expanded through the integration of biocatal

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Leygue, Adrien. "None." Comptes Rendus. Mécanique 353, G1 (2025): 761–73. https://doi.org/10.5802/crmeca.303.

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Background: The Data-Driven Identification(DDI) method is a model-free approach to the identification of the mechanical stress in parts subject to statically indeterminate stress states. Although the method has been applied in many studies, no theoretical analysis of its convergence has been proposed so far.Purpose: The aim of this manuscript is to propose a first study of the DDI properties in order to increase the confidence in the results and guide the selection of optimal parameters.Methods: A new formulation compared to the original one is proposed to explicitly define a minimization prob

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31

Shao, Yunfan, Lysandre Hourdin, Jean-Yves Sanchez, and Cristina Iojoiu. "None." Comptes Rendus. Chimie 28, G1 (2025): 523–41. https://doi.org/10.5802/crchim.394.

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Electrochemical energy storage and conversion systems, such as rechargeable lithium batteries and fuel cells, are considered to be nexuses that link chemical and electrical energies. To achieve efficient, safe, and sustainable energy storage and conversion, many new materials must be designed, synthesized, and tested. Among these, fluorinated organic and inorganic materials play a key role. The highly electronegative fluorine atoms give these materials exceptional stability against degradation, as well as improved performance in electrochemical processes and the development of next-generation

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Rahali, Ahlem, Norman Le Floch, Fatma Allouche, and Henri Doucet. "None." Comptes Rendus. Chimie 28, G1 (2025): 561–71. https://doi.org/10.5802/crchim.403.

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In the context of palladium-catalyzed C–H bond arylation, it has been well-established that pyrazoles, with both C4 and C5 available positions, typically result in the formation of mixtures of C4-, C5-arylated, and also C4, C5-diarylated products. In this study, the reactivity of ethyl 1-methylpyrazole-4-carboxylate in palladium-catalyzed C–H arylation was investigated. The objective was to determine the effectiveness of the presence of an ester substituent at the C4 position of the pyrazole as a blocking group in controlling the regioselectivity of such C–H bond arylations. It was observed th

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33

Holmes, Erik. "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 1–48. https://doi.org/10.5802/jtnb.1311.

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For p prime and ℓ=p-1 2, we show that the shapes of pure prime degree number fields lie on one of two ℓ-dimensional subspaces of the space of shapes, and which of the two subspaces is dictated by whether or not p ramifies wildly. When the fields are ordered by absolute discriminant we show that the shapes are equidistributed, in a regularized sense, on these subspaces. We also show that the shape is a complete invariant within the family of pure prime degree fields. This extends the results of Harron, in [15], who studied shapes in the case of pure cubic number fields. Furthermore we translate

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34

Rohrlich, David E. "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 125–42. https://doi.org/10.5802/jtnb.1315.

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Let K be a finite Galois extension of ℚ and let ρ be an irreducible self-dual complex representation of Gal(K/ℚ). For an elliptic curve E over ℚ let W(E,ρ) be the root number in the functional equation of L(s,E,ρ). We give an example where ρ is of dimension 4 and Schur index 1 but W(E,ρ)=1 for all E over ℚ. The image of ρ has order 32.

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35

Ding, Yuchen, Wenguang Zhai, and Lilu Zhao. "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 357–71. https://doi.org/10.5802/jtnb.1324.

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Let π(t) be the number of primes not exceeding t. Let 1<c<d be two relatively prime integers and g c,d =cd-c-d. We confirm, by combining the Hardy–Littlewood method with the Siegel–Walfisz theorem, a 2020 conjecture of Ramírez Alfonsín and Skałba which states that#p≤g c,d :p∈𝒫,p=cx+dy,x,y∈ℤ ⩾0 ∼1 2πg c,d as c→∞, where 𝒫 and ℤ ⩾0 denote the sets of primes and nonnegative integers, respectively.

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36

Li, Qi, Jianliang Zhai, and Tusheng Zhang. "None." Comptes Rendus. Mathématique 363, G7 (2025): 617–28. https://doi.org/10.5802/crmath.701.

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In this paper, we establish the Stroock–Varadhan type support theorems for stochastic differential equations (SDEs) under Lyapunov conditions, which improve the existing results in the literature where the coefficients of the SDEs are required to be globally Lipschitz. Our conditions are mild to include many important models, e.g. Threshold Ornstein–Uhlenbeck process, stochastic SIR model, stochastic Lotka–Volterra systems, stochastic Duffing–van der Pol oscillator model, which have polynomial coefficients. To obtain the support theorem, a localizing procedure plays an important role.

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Basdouri, Khaled, and Sami Benabdelhafidh. "None." Comptes Rendus. Mathématique 363, G7 (2025): 641–62. https://doi.org/10.5802/crmath.743.

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In this paper, first we introduce a notion of modified Rota–Baxter Lie–Yamaguti algebra of any weight. Also, we introduce the concept of a representation modified Rota–Baxter Lie–Yamaguti algebra of any weight. Then, we define a cohomology theory for modified Rota–Baxter Lie–Yamaguti algebras of any weight. As applications of the cohomology, we study formal deformations of modified Rota–Baxter Lie–Yamaguti algebras of arbitrary weights.

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Benaïm, Michel, Claude Lobry, Tewfik Sari, and Édouard Strickler. "None." Annales de la Faculté des sciences de Toulouse : Mathématiques 34, no. 1 (2025): 225–41. https://doi.org/10.5802/afst.1811.

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In a recent paper [6], P. Carmona gives an asymptotic formula for the top Lyapunov exponent of a linear T-periodic cooperative differential equation, in the limit T→∞. This short note discusses and extends this result. The assumption that the system is T-periodic is replaced by the more general assumption that it is driven by a continuous time uniquely ergodic Feller Markov process (ω t ) t>0 . When ω t is replaced by ω t T =ω t/T , asymptotic formulas for the top Lyapunov exponent in the fast (i.e. T→∞) and slow (T→0) regimes are given.

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de Laire, André, Philippe Gravejat, and Didier Smets. "None." Annales de la Faculté des sciences de Toulouse : Mathématiques 34, no. 1 (2025): 135–92. https://doi.org/10.5802/afst.1808.

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We study the Gross–Pitaevskii equation in dimension two with periodic conditions in one direction, or equivalently on the product space ℝ×𝕋 L where L>0 and 𝕋 L =ℝ/Lℤ. We focus on the variational problem consisting in minimizing the Ginzburg–Landau energy under a fixed momentum constraint. We prove that there exists a threshold value for L below which minimizers are the one-dimensional dark solitons, and above which no minimizer can be one-dimensional.

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40

Smith, Hanson. "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 153–69. https://doi.org/10.5802/jtnb.1317.

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Let a be an integer and p a prime so that f(x)=x p -a is irreducible. Write f n (x) to indicate the n-fold composition of f(x) with itself. We study the monogenicity of number fields defined by roots of f n (x) and give necessary and sufficient conditions for a root of f n (x) to yield a power integral basis for each n≥1. Further, we generalize these criteria to an arbitrary number field.

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41

Frechette, Claire, Mathilde Gerbelli-Gauthier, Alia Hamieh, and Naomi Tanabe. "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 171–88. https://doi.org/10.5802/jtnb.1318.

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Let N be a fixed positive integer, and let f∈S k (N) be a primitive cusp form given by the Fourier expansion f(z)=∑ n=1 ∞ λ f (n)n k-1 2 e(nz). We consider the partial sum S(x,f)=∑ n≤x λ f (n). It is conjectured that S(x,f)=o(xlogx) in the range x≥k ϵ . Lamzouri proved in [8] that this is true under the assumption of the Generalized Riemann Hypothesis (GRH) for L(s,f). In this paper, we prove that this conjecture holds under a weaker assumption than GRH. In particular, we prove that given ϵ>(logk) -1 8 and 1≤T≤(logk) 1 200 , we have S(x,f)≪xlogx T in the range x≥k ϵ provided that L(s,f) has

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42

Dolce, Paolo. "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 143–52. https://doi.org/10.5802/jtnb.1316.

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Without assuming the Northcott property we provide an upper bound on the number of “big solutions” of a special system of Diophantine inequalities over proper adelic curves. This system is interesting since it is a stronger version of Roth’s inequality for adelic curves.

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43

Kim, Byoung Du (BD). "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 325–55. https://doi.org/10.5802/jtnb.1323.

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Let T E =W 2 be a rank 2 crystalline G ℚ p -representation of weights [0,1] with non-ordinary reduction where W is the ring of integers of some extension of ℚ p , and let T ¯ E be its residual representation. Suppose l≥2 and fix some big enough N which only depends on T E . We show that the group Ext cr,[0,l-1] 1 (T ¯ E ,T ¯ E ) (Definition 2.30) of extensions with crystalline liftings of weights [0,l-1], which are themselves extensions of G ℚ p -representations which are congruent to T E (modp N ), is isomorphic to the group of finite flat extensions Ext fl 1 (T ¯ E ,T ¯ E ) ([18, Chapter 1.1

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44

Guo, Shoutao, Li Liang, and Xiaoyan Yang. "None." Comptes Rendus. Mathématique 363, G7 (2025): 705–22. https://doi.org/10.5802/crmath.755.

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45

Birkett, Richard A. P. "None." Annales de la Faculté des sciences de Toulouse : Mathématiques 34, no. 1 (2025): 47–74. https://doi.org/10.5802/afst.1805.

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The dynamics of a rational surface map f:X⤏X are easier to analyse when f is “algebraically stable”. Here we investigate when and how this condition can be achieved by conjugating f with a birational change of coordinates. We show that if this can be done with a birational morphism, then there is a minimal such conjugacy. For birational f we also show that repeatedly lifting f to its graph gives a stable conjugacy. Finally, we give an example in which f can be birationally conjugated to a stable map, but the conjugacy cannot be achieved solely by blowing up.

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46

Kang, Fan. "None." Comptes Rendus. Mathématique 363, G7 (2025): 695–704. https://doi.org/10.5802/crmath.749.

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Berger’s isoperimetric problem asks if the flat equilateral torus is λ 1 -maximal. In 1996, Nadirashvili first gave a positive answer. In this paper, we use El Soufi–Ilias–Ros’s method in [8] and Bryant’s result in [3] to give a new proof.

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Bosco, Giovanni. "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 79–103. https://doi.org/10.5802/jtnb.1313.

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We give a complete classification of all the potentially crystalline 3-adic representations of the absolute Galois group of ℚ 3 that are isomorphic to the Tate module of an elliptic curve defined over ℚ 3 . These representations are described in terms of their associated filtered (ϕ,G)-modules. The most interesting cases occur when the potential good reduction is wild.

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Djukanović, Martin. "None." Journal de théorie des nombres de Bordeaux 37, no. 1 (2025): 49–77. https://doi.org/10.5802/jtnb.1312.

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We exhibit sufficient and necessary conditions under which, over a field of characteristic zero, an N-isogeny between two elliptic curves without complex multiplication induces curves C of genus two whose Jacobian is (n,n)-isogenous to the product of the two elliptic curves. For n≤3 and N≤25, we also present a partial list of one-dimensional families of curves C whose Jacobian is (n,n)-split and has N-isogenous components.

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Mazari-Fouquer, Idriss. "None." Comptes Rendus. Mathématique 363, G7 (2025): 677–93. https://doi.org/10.5802/crmath.747.

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The goal of this paper is to review several qualitative properties of well-known eigenvalue problems using a different perspective based on the theory of effective Hamiltonians, working exclusively on the Hopf–Cole transform of the equation. We revisit some monotonicity results as well as the derivation of several scaling limits by means of the Donsker–Varadhan formula, and we point out several differences between the case of quadratic Hamiltonians and non-quadratic ones.

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Henrion, Didier, and Jean-Bernard Lasserre. "None." Comptes Rendus. Mathématique 363, G7 (2025): 663–76. https://doi.org/10.5802/crmath.744.

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We introduce an infinite-dimensional version of the Christoffel function, where now (i) its argument lies in a Hilbert space of functions, and (ii) its associated underlying measure is supported on a compact subset of the Hilbert space. We show that it possesses the same crucial property as its finite-dimensional version to identify the support of the measure (and so to detect outliers). Indeed, the growth of its reciprocal with respect to its degree is at least exponential outside the support of the measure and at most polynomial inside. Moreover, for a fixed degree, its computation mimics th

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