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1. Leading Logarithm Quantum Gravity

   https://doi.org/10.3390/universe11070223  

   Miao, S P; Tsamis, N C; Woodard, R P (July 2025, Universe)

   The continual production of long wavelength gravitons during primordial inflation endows graviton loop corrections with secular growth factors. During a prolonged period of inflation, these factors eventually overwhelm the small loop-counting parameter of GH2, causing perturbation theory to break down. A technique was recently developed for summing the leading secular effects at each order in non-linear sigma models, which possess the same kind of derivative interactions as gravity. This technique combines a variant of Starobinsky’s stochastic formalism with a variant of the renormalization group. Generalizing the technique to quantum gravity is a two-step process, the first of which is the determination of the gauge fixing condition that will allow this summation to be realized; this is the subject of this paper. Moreover, we briefly discuss the second step, which shall obtain the Langevin equation, in which secular changes in gravitational phenomena are driven by stochastic fluctuations of the graviton field. 

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2. Eccentric-orbit extreme-mass-ratio-inspiral radiation. II. 1PN correction to leading-logarithm and subleading-logarithm flux sequences and the entire perturbative 4PN flux

   https://doi.org/10.1103/PhysRevD.102.104006  

   Munna, Christopher; Evans, Charles R. (November 2020, Physical Review D)

   null (Ed.)
3. Nonparametric Iterated-Logarithm Extensions of the Sequential Generalized Likelihood Ratio Test

   https://doi.org/10.1109/JSAIT.2021.3081105  

   Shin, Jaehyeok; Ramdas, Aaditya; Rinaldo, Alessandro (June 2021, IEEE Journal on Selected Areas in Information Theory)

   null (Ed.)
4. Comparing the Difficulty of Factorization and Discrete Logarithm: A 240-Digit Experiment

   https://doi.org/10.1007/978-3-030-56880-1_3  

   Boudot, Fabrice; Gaudry, Pierrick; Guillevic, Aurore; Heninger, Nadia; Thomé, Emmanuel; Zimmermann, Paul (January 2020, CRYPTO 2020: Advances in Cryptology – CRYPTO 2020)

   null (Ed.)

   We report on two new records: the factorization of RSA-240, a 795-bit number, and a discrete logarithm computation over a 795-bit prime field. Previous records were the factorization of RSA-768 in 2009 and a 768-bit discrete logarithm computation in 2016. Our two computations at the 795-bit level were done using the same hardware and software, and show that computing a discrete logarithm is not much harder than a factorization of the same size. Moreover, thanks to algorithmic variants and well-chosen parameters, our computations were significantly less expensive than anticipated based on previous records. 

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5. LogGen: A Parameterized Generator for Designing Floating-Point Logarithm Units for Deep Learning

   https://doi.org/10.1109/ISQED54688.2022.9806139  

   Patel, Pragnesh; Arora, Aman; Swartzlander, Earl; John, Lizy (April 2022, International Symposium on Quality Electronic Design (ISQED))