We consider second-order ergodic Mean-Field Games systems in the whole space $\mathbb{R}^N$ with coercive potential and aggregating nonlocal coupling, defined terms of a Riesz interaction kernel. These MFG describe Nash equilibria games large population indistinguishable rational players attracted toward regions where is highly distributed. Equilibria solve system PDEs an Hamilton-Jacobi-Bellma...

Context The ability of ectothermic stream invertebrates to adapt the predicted increases in mean and extreme temperatures is crucial ensuring they continue exist.Aims To examine plasticity thermal limits Australian Paratya spp. (Decapoda, Atyidae) from streams eastern New South Wales (NSW). We hypothesised that upper lethal temperature (ULT, as indicated by median temperature, LT50) would be hi...

ABSTRACT Parental effects can prepare offspring for different environments and facilitate survival across generations. We exposed parental populations of the estuarine anemone, Nematostella vectensis, from Massachusetts to elevated temperatures quantified larval mortality a temperature gradient. found that exposure resulted in consistent increase thermal tolerance, as measured by at which 50% l...

Any analytic self-map of the open unit disk induces a bounded composition operator on the Hardy space H and on the standard weighted Bergman spaces Aα. For a particular self-map, it is reasonable to wonder whether there is any meaningful relationship between the norms of the corresponding operators acting on each of these spaces. In this paper, we demonstrate an inequality which, at least to a ...

While it was noted by R. Hardy and proved in a famous paper by C. A. Micchelli that radial basis function interpolants s(x) = ∑ λjφ(‖x − xj‖) exist uniquely for the multiquadric radial function φ(r) = √ r2 + c2 as soon as the (at least two) centres are pairwise distinct, the error bounds for this interpolation problem always demanded an added constant to s. By using Pontryagin native spaces, we...