Growing inequality in systems showing Zipf’s law by Giordano De Marzo, Federico Attili, Luciano Pietronero

“…We thus compute finite size corrections and we show that depending on Zipf’s exponent two distinct regimes can be observed: low inequality, where Gini index is less than one and maximal inequality, where Gini index asymptotically tends to its maximal value one. …”
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Generalized Hurst Hypothesis: Description of Time-Series in Communication Systems by Raoul Nigmatullin, Semyon Dorokhin, Alexander Ivchenko

“…The third hypothesis has three power-law exponents, two of which are complex-conjugated as well. …”
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Crossover phenomenon in adversarial attacks on voter model by Shogo Mizutaka

“…Here, α  = 1 for homogeneous networks and $\alpha = (\gamma-1)/2$ for scale-free networks with a degree exponent $2\lt\gamma\lt3$ .…”
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Small world of the miRNA science drives its publication dynamics by A. B. Firsov, I. I. Titov

“…Using this graph, we show that the growth of the miRNA field is governed by the small-world architecture of the scientific institution network and experiences power-law growth with exponent 2.64 ± 0.23 for organization number, in accordance with network diameter, proposing the growth model for emerging scientific fields. …”
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A model of behavioural response to risk accurately predicts the statistical distribution of COVID-19 infection and reproduction numbers by Fintan Costello, Paul Watts, Rita Howe

“…This homeostatic response is active until approximate herd immunity is reached: in this domain the model predicts that the reproduction rate R will be centred around a median of 1, that proportional change in infection numbers will follow the standard Cauchy distribution with location and scale parameters 0 and 1, and that high infection numbers will follow a power-law frequency distribution with exponent 2. To test these predictions we used worldwide COVID-19 data from 1st February 2020 to 30th June 2022 to calculate $$95\%$$ 95 % confidence interval estimates across countries for these R, location, scale and exponent parameters. …”
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Variations in indexation of left atrial volume across different races by Aaisha Ferkh, Faraz Pathan, Eddy Kizana, James Elhindi, Amita Singh, Cristiane Carvalho Singulane, Tatsuya Miyoshi, Federico M. Asch, Roberto M. Lang, Liza Thomas, Aldo D. Prado, Karima Addetia, Michele Bellino, Masao Daimon, Pedro Gutierrez Fajardo, Ravi R. Kasliwal, James N. Kirkpatrick, Mark J. Monaghan, Denisa Muraru, Kofo O. Ogunyankin, Seung Woo Park, Ricardo E. Ronderos, Anita Sadeghpour, Gregory M. Scalia, Masaaki Takeuchi, Wendy Tsang, Edwin S. Tucay, Ana Clara Tude Rodrigues, Amuthan Vivekanandan, Yun Zhang

“…Biplane LAV was indexed to traditional isometric measurements (BSA, height, weight, ideal body weight (IBW) and IBW derived BSA (IBSA)), as well as previously-derived allometric height exponents (2.7 and 1.72). Additionally, an allometric height exponent for our cohort was derived (linear regression of the logarithmic transformation of LAV = a(height)b) as 1.87. …”
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Effective rheology of immiscible two-phase flow in porous media consisting of random mixtures of grains having two types of wetting properties by Hursanay Fyhn, Santanu Sinha, Alex Hansen

“…When varying the pressure drop across the porous medium from low to high in this regime, the relation between the volumetric flow rate in the steady state and the pressure drop goes from being linear to a power law with exponent 2.56, and then to linear again. Outside the percolation regime, there is a threshold pressure necessary to start the flow and no linear regime is observed for low pressure drops. …”
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One-photon absorption by inorganic perovskite nanocrystals : a theoretical study by Nguyen, Thi Phuc Tan, Blundell, Steven A., Guet, Claude

“…The dominant contribution to the theoretical exponent 2.9 is shown to be the density of final-state excitons. …”
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Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation by Lan Jiali, He Xiaoming, Meng Yuxi

“…Under the L2{L}^{2}-subcritical perturbation α(Iμ*∣u∣q)∣u∣q−2u\alpha \left({I}_{{\mu }^{* }}\hspace{-0.25em}{| u| }^{q}){| u| }^{q-2}u with exponent 2N−μN<q<2N−μ+2sN\frac{2N-\mu }{N}\lt q\lt \frac{2N-\mu +2s}{N}, we obtain the existence of normalized ground states and mountain-pass-type solutions. …”
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