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1. Population genetics and phylogeography of Trachylepis sulcata (Peters, 1867) and T. ansorgii (Boulenger, 1907) in south-western Africa

   https://doi.org/10.1080/21564574.2024.2357758  

   Butler, Brett O; Ceríaco, Luis MP; Jackman, Todd R; Bauer, Aaron M (July 2024, African Journal of Herpetology)
2. Moments of Artin–Schreier L -functions

   https://doi.org/10.1093/qmath/haae045  

   Florea, Alexandra; Jones, Edna; Lalin, Matilde (September 2024, The Quarterly Journal of Mathematics)

   Abstract We compute moments of L-functions associated to the polynomial family of Artin–Schreier covers over $$\mathbb{F}_q$$, where q is a power of a prime p > 2, when the size of the finite field is fixed and the genus of the family goes to infinity. More specifically, we compute the $$k{\text{th}}$$ moment for a large range of values of k, depending on the sizes of p and q. We also compute the second moment in absolute value of the polynomial family, obtaining an exact formula with a lower order term, and confirming the unitary symmetry type of the family. 

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3. Fully discrete best-approximation-type estimates in L ∞ ( I ; L 2(Ω) d ) for finite element discretizations of the transient Stokes equations

   https://doi.org/10.1093/imanum/drac009  

   Behringer, Niklas; Vexler, Boris; Leykekhman, Dmitriy (April 2022, IMA Journal of Numerical Analysis)

   Abstract In this article, we obtain an optimal best-approximation-type result for fully discrete approximations of the transient Stokes problem. For the time discretization, we use the discontinuous Galerkin method and for the spatial discretization we use standard finite elements for the Stokes problem satisfying the discrete inf-sup condition. The analysis uses the technique of discrete maximal parabolic regularity. The results require only natural assumptions on the data and do not assume any additional smoothness of the solutions. 

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4. Status of Gehyra marginata Boulenger, 1887 on New Guinea

   Kraus, Fred (November 2024, Herpetology notes)
5. Statistical Analysis of the Differential Deep Penetration of Energetic Electrons and Protons into the Low L Region ( L  < 4)

   https://doi.org/10.1029/2022JA031125  

   Zhao, H.; Califf, S. T.; Goyal, R.; Li, X.; Gkioulidou, M.; Manweiler, J. W.; Krantz, S. (April 2023, Journal of Geophysical Research: Space Physics)

   Abstract Deep penetration of energetic electrons (10s–100s of keV) to lowL‐shells (L < 4), as an important source of inner belt electrons, is commonly observed during geomagnetically active times. However, such deep penetration is not observed as frequently for similar energy protons, for which underlying mechanisms are not fully understood. To study their differential deep penetration, we conducted a statistical analysis using phase space densities (PSDs) ofµ = 10–50 MeV/G,K = 0.14 G^1/2Re electrons and protons from multiyear Van Allen Probes observations. The results suggest systematic differences in electron and proton deep penetration: electron PSD enhancements at lowL‐shells occur more frequently, deeply, and faster than protons. Forµ = 10–50 MeV/G electrons, the occurrence rate of deep penetration events (defined as daily‐averaged PSD enhanced by at least a factor of 2 within a day atL < 4) is ∼2–3 events/month. For protons, only ∼1 event/month was observed forµ = 10 MeV/G, and much fewer events were identified forµ > 20 MeV/G. Leveraging dual‐Probe configurations, fast electron deep penetrations atL < 4 are revealed: ∼70% of electron deep penetration events occurred within ∼9 hr; ∼8%–13% occurred even within 3 hr, with lower‐µelectrons penetrating faster than higher‐µelectrons. These results suggest nondiffusive radial transport as the main mechanism of electron deep penetrations. In comparison, proton deep penetration happens at a slower pace. Statistics also show that the electron PSD radial gradient is much steeper than protons prior to deep penetration events, which can be responsible for these differential behaviors of electron and proton deep penetrations. 

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