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   https://doi.org/10.1144/M56-2020-19  

   Ivins, E. R.; van der Wal, W.; Wiens, D. A.; Lloyd, A. J.; Caron, L. (July 2022, Geological Society, London, Memoirs)
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   https://doi.org/10.37236/8493  

   Šileikis, Matas; Warnke, Lutz (January 2020, The Electronic Journal of Combinatorics)

   null (Ed.)

   For $$r \ge 2$$, let $$X$$ be the number of $$r$$-armed stars $$K_{1,r}$$ in the binomial random graph $$G_{n,p}$$.  We study the upper tail $${\mathbb P}(X \ge (1+\epsilon){\mathbb E} X)$$, and establish exponential bounds which are best possible up to constant factors in the exponent (for the special case of stars $$K_{1,r}$$ this solves a problem of Janson and Ruciński, and confirms a conjecture by DeMarco and Kahn).  In contrast to the widely accepted standard for the upper tail problem, we do not restrict our attention to constant $$\epsilon$$, but also allow for $$\epsilon \ge n^{-\alpha}$$ deviations. 

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   Zheng, Liyuan; Ratliff, Lillian J. (January 2020, Proceedings of the 2nd Conference on Learning for Dynamics and Control, PMLR)

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   https://doi.org/10.1214/22-EJP834  

   Bobkov, S. G. (January 2022, Electronic journal of probability)

   Upper bounds are considered for the Fisher information of random vectors in terms of total variation and norms in Sobolev spaces. We also survey and refine a number of known results in this direction. 

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