3 citations · 3 across the 3 of their papers we have counts for
4 papers
Fibonacci-like partitions and their associated piecewise-defined permutations
Jon Asier Bárcena-Petisco, Luis Martínez, María Merino +2
In this paper we introduce a family of partitions of the set of natural numbers, Fibonacci-like partitions. In particular, we introduce a Fibonacci-like partition in a number of pa…
Averaged Controllability of the Random Schrödinger Equation with Diffusivity Following Absolutely Continuous Distributions
Jon Asier Bárcena-Petisco, Fouad Et-Tahri
This paper is devoted to the averaged controllability of the random Schrödinger equation, with diffusivity as a random variable drawn from a general probability distribution. First…
A theoretical analysis on the resolution of parametric PDEs via Neural Networks designed with Strassen algorithm
Gonzalo Romera, Jon Asier Bárcena-Petisco
We construct a family of Neural Networks that approximate matrix multiplication operator for any activation function such that there exists a Neural Network which can approximate t…
Exact controllability to the trajectories of the one-phase Stefan problem
Jon Asier Bárcena-Petisco, Enrique Fernández-Cara, Diego A. Souza
This paper deals with the exact controllability to the trajectories of the one--phase Stefan problem in one spatial dimension. This is a free-boundary problem that models solidific…