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On the connectedness of a random closed set of a Euclidean space
(Elsevier, 2022)
Our aim is to obtain a suitable characterization of certain topological properties of a random closed set through its capacity
functional. The main technique mixes two different fields: on the one hand, the abstract ...
On the concept of infinitesimal position vector fields in Galilean spacetimes
(World Scientific, 2022)
We introduce two different ways to establish the concept of infinitesimal position vector field between “infinitesimally nearby” observers in a Galilean spacetime as well as show their mathematical equivalence. We also use ...
Completeness of uniformly accelerated observers in Galilean spacetimes
(Springer, 2022)
We analyze the concept of uniformly accelerated observer in Galilean spacetimes in the context of Newton–Cartan theory and find natural geometric assumptions to ensure that an inextensible uniformly accelerated observer ...