output
20102025
most citedNonlinear normal modes of a two degree of freedom oscillator with a bilateral elastic stop

3 citations

24 papers

quant-ph2025

Eigenlogic and Probabilistic Inference; when Bayes meets Born

François Dubois, Zeno Toffano

This paper shows how inference is treated within the context of Eigenlogic projection operators in linear algebra. In Eigenlogic operators represent logical connectives, their eige…

math.NA2025

A variational symplectic scheme based on Lobatto's quadrature

François Dubois, Juan Antonio Rojas-Quintero

We present a variational integrator based on the Lobatto quadrature for the time integration of dynamical systems issued from the least action principle. This numerical method uses…

nlin.CG2024

Multiresolution relaxation times lattice Boltzmann schemes with projection

François Dubois, Paulo Cesar Philippi

We propose to extend the multiresolution relaxation times lattice Boltzmann schemes with an additional projection step. For the explicit example of the D2Q9 scheme, we define this…

physics.bio-ph2024

On Macroscopic Intricate States

François Dubois

The present contribution is in the field of quantum modelling of macroscopic phenomena. The focus is on one enigmatic aspect of quantum physics, namely the Einstein-Podolsky-Rosen…

physics.soc-ph2024

On quantum models for opinion and voting intention polls

François Dubois

In this contribution, we construct a connection between two quantum voting models presented previously. We propose to try to determine the result of a vote from associated given op…

physics.soc-ph2024

A quantum approach for determining a state of the opinion

François Dubois

We propose to define a notion of state of the opinion in order to link politician popularity estimations and voting intentions. We present two ways of modelling: a classical approa…