Critical exponents of graphs [PDF]
The study of entrywise powers of matrices was originated by Loewner in the pursuit of the Bieberbach conjecture. Since the work of FitzGerald and Horn (1977), it is known that A ? α : = ( a i j α ) is positive semidefinite for every entrywise nonnegative
D. Guillot, A. Khare, B. Rajaratnam
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Critical Exponents in Percolation Model of Track Region Critical Exponents in Percolation Model of Track Region Critical Exponents in Percolation Model of Track Region [PDF]
Differences between critical exponents of this model and the continuous percolation model indicate that the dependence of the modified structure area on the dose and the angle related with the correlation between individual tracks.
A.B. Demchyshyn, P.O. Selyshchev
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On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents [PDF]
We consider the following nonlinear Choquard equation with Dirichlet boundary condition $$-\Delta u =\left(\int_{\Omega}\frac{|u|^{2_{\mu}^{\ast}}}{|x-y|^{\mu}}dy\right)|u|^{2_{\mu}^{\ast}-2}u+\lambda f(u)\hspace{4.14mm}\mbox{in}\hspace{1.14mm} \Omega, $$
Fashun Gao, Min-Bo Yang
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Erratum to: On critical exponents for self-similar collapse
The Authors order and affiliations order for author Ehsan Hatefi has been ...
Ehsan Hatefi, Riccardo Antonelli
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Lyapunov exponents and phase transitions of Born-Infeld AdS black holes [PDF]
In this paper, we characterize the phase transitons of Born-Infeld AdS black holes in terms of Lyapunov exponents. We calculate the Lyapunov exponents for timelike geodesics in background metric and photon geodesics in effective metric.
Shao-Jie Yang +3 more
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Critical exponents and where to find them
In this expository paper we present a list of different semilinear wave-type problems with time-variable coefficients. The aim of this work is to understand the influence of such coefficients on the critical exponents for polynomial nonlinearities ...
Sandra Lucente
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Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model
Animal motion and flocking are ubiquitous nonequilibrium phenomena that are often studied within active matter. In examples such as insect swarms, macroscopic quantities exhibit power laws with measurable critical exponents and ideas from phase ...
Rafael González-Albaladejo +1 more
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Thermodynamic Derivation of Scaling at the Liquid–Vapor Critical Point
With the use of thermodynamics and general equilibrium conditions only, we study the entropy of a fluid in the vicinity of the critical point of the liquid–vapor phase transition.
Juan Carlos Obeso-Jureidini +2 more
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Critical Exponents Can Be Different on the Two Sides of a Transition: A Generic Mechanism. [PDF]
We present models where γ(+) and γ(-), the exponents of the susceptibility in the high- and low-temperature phases, are generically different. In these models, continuous symmetries are explicitly broken down by discrete anisotropies that are irrelevant ...
F. L'eonard, B. Delamotte
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Oscillatory solutions and critical exponents for fully nonlinear equations
We study existence and nonexistence of radial positive solutions for a class of fully nonlinear equations involving Pucci's extremal operators. By analyzing the periodic orbits of an associated dynamical system we are able to give estimates on the range
Filomena Pacella, David Stolnicki
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