The primary problem in property testing is to decide whether a given function satisfies a certain property, or is far from any function satisfying it. This crucially requires a notion of distance ...

Direct and inverse scattering problems connected with the wave equation in non-homogeneous bounded domains constitute challenging actual subjects for both mathematicians and engineers. Among them one ...

The Royal Irish Academy, the academy for the sciences and humanities for the whole of Ireland will vigorously promote excellence in scholarship, recognise achievements in learning, direct research ...

Abstract: This paper considers the bounded real properties for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation ...

We continue a previous analysis of the covariant Hamiltonian symplectic structure of General Relativity for spatially bounded regions of spacetime. To allow for near complete generality, the ...

We discuss the dynamic and structural properties of polynomial semigroups, a natural extension of iteration theory to random (walk) dynamics, where the semigroup G of complex polynomials (under the ...

This is a small test suite for optimisation algorithms that work on n-dimensional problems. I have developing machine learning assisted design of experiments for setting optimisation on industrial ...