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1. Sub-leading asymptotics of ECH capacities

   https://doi.org/10.1007/s00029-020-00594-2  

   Cristofaro-Gardiner, Dan; Savale, Nikhil (November 2020, Selecta Mathematica)

   Abstract In previous work (Cristofaro-Gardiner et al. in Invent Math 199:187–214, 2015), the first author and collaborators showed that the leading asymptotics of the embedded contact homology spectrum recovers the contact volume. Our main theorem here is a new bound on the sub-leading asymptotics. 

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2. 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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3. Efficient coordinate-wise leading eigenvector computation

   Wang Jialei; Wang Weiran; Garber Dan; Srebro Nathan (January 2018, Proceedings of Algorithmic Learning Theory)
4. Effects of Compressibility on Leading-Edge Dynamic Stall Criteria

   https://doi.org/10.2514/6.2023-3371  

   Sudharsan, Sarasija; Narsipur, Shreyas; Sharma, Anupam (June 2023, American Institute of Aeronautics and Astronautics)

   The current work evaluates the effectiveness of two leading-edge dynamic stall criteria in mild to moderately compressible regimes using numerical simulations. The two criteria under consideration, namely, the maximum magnitudes of the leading edge suction parameter (max(𝐿𝐸 𝑆𝑃)) and boundary enstrophy flux (max(|𝐵𝐸𝐹|)), have previously been found to be effective at signaling dynamic stall in the incompressible regime. Based on unsteady Reynolds-averaged Navier-Stokes simulations at a Reynolds number of 2 × 105 and freestream Mach numbers between 0.1 - 0.5, we observe that these criteria are directly applicable in the mild to moderately compressible regimes, since they are reached shortly after suction collapse at the leading edge and well in advance of dynamic stall vortex formation for all the cases. This is attributed to compressibility effects promoting adverse-pressure-gradient(APG)-induced stall for the flow conditions considered. For the highest Mach number of 0.5, shock wave interactions with the separated shear layer are observed. It is noted that although compressibility leads to separation at a lower APG, the maximum APG scaled by the local flow density remains in the same range for all the cases. 

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5. Probing hadronization with flavor correlations of leading particles in jets

   https://doi.org/10.1103/PhysRevD.105.L051502  

   Chien, Yang-Ting; Deshpande, A.; Mondal, M. M.; Sterman, George (March 2022, Physical Review D)