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1. A Canonical Transformation for the Anderson Lattice Hamiltonian with f–f Electron Coupling

   https://doi.org/10.1155/2024/7851286  

   Zhao, Guang-Lin (February 2024, Advances in Condensed Matter Physics)

   Lisesivdin, Sefer Bora (Ed.)

   In this work, a new canonical transformation for the Anderson lattice Hamiltonian with f–f electron coupling was developed, which was further used to identify a new Kondo lattice Hamiltonian. Different from the single impurity Kondo effect, the resulted new Kondo lattice Hamiltonian only includes the spin-flip scattering processes between conduction electrons and f-electrons, while the normal process of non-spin-flip scattering is absent in this Hamiltonian, under the second order approximation. The new Kondo lattice Hamiltonian may be used to study some anomalous physical properties in some Kondo lattice intermetallic compounds. 

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2. CscK metrics near the canonical class

   https://doi.org/10.1515/crelle-2024-0096  

   Guo, Bin; Jian, Wangjian; Shi, Yalong; Song, Jian (January 2025, Journal für die reine und angewandte Mathematik (Crelles Journal))

   Abstract Let 𝑋 be a Kähler manifold with semiample canonical bundle $K_X$K_{X}.It is proved in [W. Jian, Y. Shi and J. Song, A remark on constant scalar curvature Kähler metrics on minimal models,Proc. Amer. Math. Soc.147(2019), 8, 3507–3513] that, for any Kähler class 𝛾, there exists $\delta >0$\delta>0such that, for all $t\in (0,\delta )$t\in(0,\delta), there exists a unique cscK metric $g_t$g_{t}in $K_X+t\gamma$K_{X}+t\gamma.In this paper, we prove that ${\left\{(X,g_t)\right\}}_{t\in (0,\delta )}$\{(X,g_{t})\}_{t\in(0,\delta)}have uniformly bounded Kähler potentials, volume forms and diameters.As a consequence, these metric spaces are pre-compact in the Gromov–Hausdorff sense. 

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3. Grand Canonical Evolution for the Kac Model

   https://doi.org/10.1007/s10955-022-02932-4  

   Beck, Justin; Bonetto, Federico (July 2022, Journal of Statistical Physics)
4. Comammox Nitrospira bacteria outnumber canonical nitrifiers irrespective of electron donor mode and availability in biofiltration systems

   https://doi.org/10.1093/femsec/fiac032  

   Vilardi, Katherine J; Cotto, Irmarie; Sevillano, Maria; Dai, Zihan; Anderson, Christopher L; Pinto, Ameet (April 2022, FEMS Microbiology Ecology)

   Abstract Complete ammonia oxidizing bacteria coexist with canonical ammonia and nitrite oxidizing bacteria in a wide range of environments. Whether this is due to competitive or cooperative interactions, or a result of niche separation is not yet clear. Understanding the factors driving coexistence of nitrifiers is critical to manage nitrification processes occurring in engineered and natural ecosystems. In this study, microcosm-based experiments were used to investigate the impact of nitrogen source and loading on the population dynamics of nitrifiers in drinking water biofilter media. Shotgun sequencing of DNA followed by co-assembly and reconstruction of metagenome assembled genomes revealed clade A2 comammox bacteria were likely the primary nitrifiers within microcosms and increased in abundance over Nitrosomonas-like ammonia and Nitrospira-like nitrite oxidizing bacteria irrespective of nitrogen source type or loading. Changes in comammox bacterial abundance did not correlate with either ammonia or nitrite oxidizing bacterial abundance in urea-amended systems, where metabolic reconstruction indicated potential for cross-feeding between strict ammonia and nitrite oxidizers. In contrast, comammox bacterial abundance demonstrated a negative correlation with nitrite oxidizers in ammonia-amended systems. This suggests potentially weaker synergistic relationships between strict ammonia and nitrite oxidizers might enable comammox bacteria to displace strict nitrite oxidizers from complex nitrifying communities. 

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5. Arithmetic of the canonical component of the knot 𝟕𝟒

   Nicholas Rouse (January 2021, New York journal of mathematics)