We review some recent results on entanglement in the Quantum Spherical Model (QSM). The focus lays physical rather than mathematical details. Specifically, we study several entanglement-related quantities, such asentanglement entropies, and logarithmic negativity, presence of quantum classical critical points, magnetically ordered phases. consider both short as well long-range QSM. properties Q...

Although the human head is not a sphere, models using spheres have been employed to simplify forward and inverse magnetoencephalographic (MEG) calculations. We compared the normal component of the magnetic field calculated at 61 detectors and the localization accuracy of 5 different spherical models to the results obtained using the finite element method (FEM) in a realistic head model. The sph...

The data saturation problem in Landsat imagery is well recognized and is regarded as an important factor resulting in inaccurate forest aboveground biomass (AGB) estimation. However, no study has examined the saturation values for different vegetation types such as coniferous and broadleaf forests. The objective of this study is to estimate the saturation values in Landsat imagery for different...

A new realization of the conformal algebra is studied which mimics the behaviour of a statistical system on a discrete albeit infinite lattice. The twopoint function is found from the requirement that it transforms covariantly under this realization. The result is in agreement with explicit lattice calculations of the (1 + 1)D Ising model and the d−dimensional spherical model. A hard core is fo...

The investigation of the terminal falling velocity of non-spherical particles is currently one of the most promising topics in sedimentation technology due to its great signifcance in many separation processes. In this study, the potential of Artifcial Neural Networks (ANNs) for the prediction of nonspherical particles terminal falling velocity through Newtonian and nonNewtonian (power law) liq...

We give a simple lower bound for the dimensions of the families of polynomially constructible spherical codes of given minimal angle ~o, deduced from the analog of the Katsman-Tsfasman-Vl~du!i bound for linear codes. In particulax the supremum rpol of the numbers log 2 CardX/dim X, where X ranges over all polynomially constructible families of spherical codes with ~ _> Ir/3, is such th~.t rpot ...

A family of spin-lattice models are derived as convergent finite dimensional approximations to the rest frame kinetic energy of a barotropic fluid coupled to a massive rotating sphere. The angular momentum of the fluid component changes under complex torques that are not resolved and the kinetic energy of the fluid is not a conserved Hamiltonian in these models. These models are used in a stati...

The equilibrium statistical mechanics of the energy-enstrophy theory for the barotropic vorticity equation is solved exactly in the sense that a explicitly non-Gaussian configurational integral is calculated in closed form. A family of lattice vortex gas models for the barotropic vorticity equation (BVE) is derived and shown to have a well-defined nonextensive continuum limit as the coarse-grai...