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   https://doi.org/10.1109/TKDE.2020.3008128  

   Konar, Aritra; Sidiropoulos, Nicholas D. (October 2020, IEEE Transactions on Knowledge and Data Engineering)
2. The Geometry of Community Detection via the MMSE Matrix

   https://doi.org/10.1109/ISIT.2019.8849594  

   Reeves, Galen; Mayya, Vaishakhi; Volfovsky, Alexander (July 2019, 2019 IEEE International Symposium on Information Theory (ISIT))

   The information-theoretic limits of community detection have been studied extensively for network models with high levels of symmetry or homogeneity. The contribution of this paper is to study a broader class of network models that allow for variability in the sizes and behaviors of the different communities, and thus better reflect the behaviors observed in real-world networks. Our results show that the ability to detect communities can be described succinctly in terms of a matrix of effective signal-to-noise ratios that provides a geometrical representation of the relationships between the different communities. This characterization follows from a matrix version of the I-MMSE relationship and generalizes the concept of an effective scalar signal-to-noise ratio introduced in previous work. We provide explicit formulas for the asymptotic per-node mutual information and upper bounds on the minimum mean-squared error. The theoretical results are supported by numerical simulations. 

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3. Simulation of the formation of antihydrogen via magnetobound positronium

   https://doi.org/10.1063/5.0060707  

   Aguirre, F_F; Ordonez, C_A (September 2021, AIP Advances)

   Antihydrogen formation involving magnetobound positronium is simulated by computing classical trajectories. Simulated collisions between electrons and positrons generate magnetobound positronium, which consists of electron–positron pairs that are not energetically bound but that have spatially correlated trajectories within a magnetic field. Simulations show that antihydrogen can form if such electron–positron pairs pass near antiprotons. In addition, the possibility of forming antihydrogen atomic ions or antihydrogen molecular ions via magnetobound positronium or magnetobound antihydrogen is discussed. 

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4. Stability of the logarithmic Sobolev inequality via the Föllmer process

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   Eldan, Ronen; Lehec, Joseph; Shenfeld, Yair (August 2020, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)
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   Farrens, Andria J.; Lilley, Maria; Sergi, Fabrizio (December 2020, IEEE Transactions on Neural Systems and Rehabilitation Engineering)