1 Laboratoire d’Astrophysique de Toulouse-Tarbes, Université de Toulouse, CNRS, 14 avenue Edouard Belin, F-31400 Toulouse, France 2 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom 3 Laboratoire d’hydrodynamique (LadHyX), CNRS – École polytechnique, 91128 Palaiseau cedex, France

We study the evolution of the susceptibility in the subcritical random graph G n , p as n tends to infinity. We obtain precise asymptotics of its expectation and variance and show that it obeys a law of large numbers. We also prove that the scaled fluctuations of the susceptibility around its deterministic limit converge to a Gaussian law. We further extend our results to higher moments of the ...

Obesity-induced inflammation is crucial in the pathogenesis of insulin resistance and type 2 diabetes. In this study, we investigated effects Gracilaria chorda (GC) on lipid accumulation obesity-induced inflammatory changes or glucose homeostasis cell models (3T3-L1 adipocytes RAW 264.7 macrophages). Samples GC were extracted using solvents (water, methanol, ethanol) subcritical water (SW) at d...

We use variational methods to study the asymptotic behavior of solutions of p-Laplacian problems with nearly subcritical nonlinearity in general, possibly non-smooth, bounded domains.

This paper is devoted to a complete classiication of the radial singular and possibly sign changing solutions of a semilinear elliptic equation with critical or subcritical growth.

This paper is devoted to a complete classiication of the radial singular and possibly sign changing solutions of a semilinear elliptic equation with critical or subcritical growth.

We prove that there exist natural generalizations of the classical bootstrap percolation model on Z that have non-trivial critical probabilities, and moreover we characterize all homogeneous, local, monotone models with this property. Van Enter [28] (in the case d = r = 2) and Schonmann [25] (for all d > r > 2) proved that r-neighbour bootstrap percolation models have trivial critical probabili...