The Generation Mechanism of Degree Distribution with Power Exponent >2 and the Growth of Edges in Temporal Social Networks by Zhenpeng Li, Luo Li

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Chemical reaction effect of an axisymmetric flow over radially stretched sheet by B. Nayak, S.R. Mishra, G. Gopi Krishna

“…The major findings are: (i) the concentration of the fluid in its boundary layer decrease with increase in heavier species, the reaction rate parameter and the power law exponent; (ii) the rate of mass transfer increases with an increase in reaction rate parameter and power-law exponent. …”
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Temperature Resistance of Mo₃Si: Phase Stability, Microhardness, and Creep Properties by Olha Kauss, Susanne Obert, Iurii Bogomol, Thomas Wablat, Nils Siemensmeyer, Konstantin Naumenko, Manja Krüger

“…Three constitutive models were used for regression of experimental results—(i) power law with a constant creep exponent, (ii) stress range dependent law, and (iii) power law with a temperature-dependent creep exponent. …”
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On the Dirichlet problem for degenerate monotone operators by Nunzia A. D’auria, Ornella Fiodo

“…We consider these problems in an open cube of IRn, n ≥ 2, and in Sobolev spaces with exponent 2 ≤ p < +∞.…”
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Drag scaling law and parachute terminal velocity of the dandelion by Bo-Hua Sun, Xiao-Lin Guo

“…By the way, the Vogel exponent −2/3 for dandelion is determined.…”
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Crooked Maps in Finite Fields by Gohar Kyureghyan

“…In particular, the only such power maps have exponents $2^i+2^j$ with $gcd(n, i-j)=1$. We give also a geometrical characterization of this maps.…”
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Normalized solutions for nonlinear Kirchhoff type equations in high dimensions by Lingzheng Kong, Haibo Chen

“…In particular, in dimension $ N = 4 $, there is a special phenomenon for Kirchhoff equation that the mass critical exponent $ 2+\frac{8}{N} $ is equal to the energy critical exponent $ \frac{2N}{N-2} $, which leads to the fact that the equation no longer has a variational structure in dimensions $ N\geqslant 4 $ if we consider the mass supercritical case, and remains unsolved in the existing literature. …”
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The repetition threshold for binary rich words by James D. Currie, Lucas Mol, Narad Rampersad

“…Baranwal and Shallit produced an infinite binary rich word with critical exponent $2+\sqrt{2}/2$ ($\approx 2.707$) and conjectured that this was the least possible critical exponent for infinite binary rich words (i.e., that the repetition threshold for binary rich words is $2+\sqrt{2}/2$). …”
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Existence and asymptotic behavior of solutions for Henon equations in hyperbolic spaces by Haiyang He, Wei Wang

“…We also investigate asymptotic behavior of the ground state solution when p tends to the critical exponent $2^* =\frac{2N}{N-2}$ with $N\geq 3$.…”
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Chaos and operator growth in 2d CFT by Surbhi Khetrapal

“…The latter grows as an exponential of time with exponent 2α, which sets an upper bound on the Lyapunov exponent, Λ L ≤ 2α. …”
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Generalized Bernoulli process with long-range dependence and fractional binomial distribution by Lee Jeonghwa

“…We will relax the independence condition of Bernoulli variables, and develop a generalized Bernoulli process that is stationary and has auto-covariance function that obeys power law with exponent 2H – 2, H ∈ (0, 1). Generalized Bernoulli process encompasses various forms of binary sequence from an independent binary sequence to a binary sequence that has long-range dependence. …”
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Finite temperature properties of an integrable zigzag ladder chain by T.S. Tavares, G.A.P. Ribeiro

“…The integrable quantum Hamiltonian shares some thermodynamical properties with the Heisenberg XXZ chain, but has different ordering and critical exponents. Two gapped phases are the dimerized antiferromagnetic order and the usual antiferromagnetic (Néel) order for positive nearest neighbor Ising coupling. …”
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Synchronization transitions on connectome graphs with external force by Géza Ódor, István Papp, István Papp, Shengfeng Deng, Jeffrey Kelling, Jeffrey Kelling

“…By numerical solution we determine the crackling noise durations with and without thermal noise and show extended non-universal scaling tails characterized by the exponent 2 &lt; τt &lt; 2.8, in contrast with the Hopf transition of the Kuramoto model, without the force τt = 3.1(1). …”
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On the existence of solutions for a class of fourth order elliptic equations of Kirchhoff type with variable exponent by Nguyen Thanh Chung

“…In this paper, we consider a class of fourth order elliptic equations of Kirchhoff type with variable exponent ( ∆2 p(x) u − M R Ω 1 p(x) |∇u| p(x) dx ∆p(x)u = λf(x, u) in Ω, u = ∆u = 0 on ∂Ω, where Ω ⊂ R N , N ≥ 3, is a smooth bounded domain, M(t) = a + btκ , a, κ > 0, b ≥ 0, λ is a positive parameter, ∆2 p(x) u = ∆(|∆u| p(x)−2∆u) is the operator of fourth order called the p(x)-biharmonic operator, ∆p(x)u = div |∇u| p(x)−2∇u is the p(x)-Laplacian, p : Ω → R is a log-Hölder continuous function and f : Ω × R → R is a continuous function satisfying some certain conditions. …”
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Higher-order Van Hove singularity in magic-angle twisted trilayer graphene by Daniele Guerci, Pascal Simon, Christophe Mora

“…This structure gives a topological Lifshitz transition, with anomalous exponent −2/5, which can be achieved in TTG by varying a third control parameter such as the atomic corrugation. …”
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Effective Rheology of Two-Phase Flow in a Capillary Fiber Bundle Model by Subhadeep Roy, Alex Hansen, Alex Hansen, Santanu Sinha, Santanu Sinha

“…We demonstrate through analytical calculations that a transition from a linear Darcy to a non-linear behavior occurs while decreasing the pressure drop ΔP, where the total flow rate 〈Q〉 varies with ΔP with an exponent 2 as 〈Q〉~ΔP2 for uniform threshold distribution. …”
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Impact of Sectorization/Vehicular Traffic on Minimum Cell Size for Information Capacity Increase in Cellular Systems by Ruiheng Wu, Kwashie A. Anang, Predrag B. Rapajic

“…For example for a heavy vehicular trafficenvironment, at a carrier frequency fC = 15.75 GHz, basic path loss exponent = 2 and cell radius R = 100, 300 and 500 m for a six sector cellular the decrease in information capacity, because of interference from the second tier was 5.47, 3.36 and 2.78%.…”
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Conditioning of broodstock of tiger grouper, Epinephelus fuscoguttatus, in a recirculating aquaculture system by Saleem Mustafa, Mohd. Hafizzie Hajini, Shigeharu Senoo, Annita Yong Seok Kian

“…Growth was nearly isometric (growth exponent = 2.9185) and the condition factor = 1.86. This reflected good management conditions. …”
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Dynamics and network behavior of a four-dimensional discrete neuron model with magnetic flux coupling by Kumarasamy, S, Moroz, IM, Sampathkumar, SK, Karthikeyan, A, Rajagopal, K

“…The dynamics of the four-dimensional discrete neuron model are evaluated with the help of phase diagrams and Lyapunov exponents. Two-parameter phase diagrams are drawn for different pairs of parameter choices using the Lyapunov exponent to segregate the different dynamics present in the system. …”

The Application of a Hybrid Method for the Identification of Elastic–Plastic Material Parameters by Beata Potrzeszcz-Sut, Agnieszka Dudzik

“…In this paper, such methodology is employed for estimating the selected material parameters described by Ramberg–Osgood’s law, i.e., Young’s modulus, the yield point, and the material hardening exponent. Two combined identification methods were used: the <i>P-A</i> procedure, in which the material parameters are identified on the basis of the coordinates of the indentation curves, and the <i>P-C</i> procedure, which uses the coordinates describing the imprint profile. …”
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