The main idea in the proof of both Theorems 1 and 4 consists in constructing the velocity field v and the associated solution θ by patching together a countable number of velocity fields un and solutions ρn saturating Grönwall’s inequality, the exis…

We consider the Cauchy problem for the continuity equation in space dimension ${d \geq 2}$. We construct a divergence-free velocity field uniformly b…

Pulsar timing arrays (PTAs) are presently the only means to search for the gravitational wave stochastic background from supermassive black hole bina…

The Mercury Orbiter radio Science Experiment (MORE) is one of the experiments on-board the ESA/JAXA BepiColombo mission to Mercury, to be launched in…

Continuum solvation methods can provide an accurate and inexpensive embedding of quantum simulations in liquid or complex dielectric environments. No…

A phase of strong interacting matter with deconfined quarks is expected in the core of massive neutron stars. We investigate the quark deconfinement …

Large frame ring laser gyroscopes are top sensitivity inertial sensors able to measure absolute angular rotation rate below $\rm \mathbf{prad/s}$ in …

We discuss analytic continuation as a tool to extract the cumulants of the quark number fluctuations in the strongly interacting medium from lattice …

We investigate the static $Q\bar{Q}$ potential at zero and finite temperature in the presence of a constant and uniform external magnetic field $\vec…

We use a computer aided proof to rigorously show the existence of noise induced order in the model of chaotic chemical reactions where it was first d…

We consider a planar geometric flow in which the normal velocity is a nonlocal variant of the curvature. The flow is not scaling invariant and in fac…

A matrix method for the solution of direct fractional Sturm-Liouville problems on bounded domain is proposed where the fractional derivative is defin…

After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures…

In this paper we have presented a novel algorithm for the reduction in Hessenberg form of a unitary diagonal plus rank−k matrix. By exploiting the rank structure of the input matrix this algorithm achieves computational efficiency both with respect …

Efficient eigenvalue solvers for unitary plus low-rank matrices exploit the structural properties of the Hessenberg reduction performed in the prepro…

The problem of rating the performance of soccer players is attracting the interest of many companies, websites, and the scientific community, thanks …

We establish quantitative results for the statistical be\-ha\-vi\-our of \emph{infinite systems}. We consider two kinds of infinite system: i) a cons…

We perform a comparative study of the time dependence of the holographic quantum complexity of some space like singular bulk gravitational background…

For current High Performance Computing systems to scale towards the holy grail of ExaFLOP performance, their power consumption has to be reduced by a…

This paper proposes the Mesh Neural Network (MNN), a novel architecture which allows neurons to be connected in any topology, to efficiently route in…

Synchronization is crucial for the correct functionality of many natural and man-made complex systems. In this work we characterize the formation of …

This project aims at exploiting the wide-field and limiting-magnitude capabilities of the LSST to fully characterise the resolved stellar populations…

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