3 papers
math.CO2025
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…
math.OC2025
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…
math.NA2025
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…