180 citations · 976 across the 36 of their papers we have counts for
40 papers
Gradient systems and asymmetric relaxations in view of Riemannian geometry
Alessandro Bravetti, Miguel Ángel García Ariza, José Roberto Romero-Arias
In dually flat manifolds, there is a deep connection between gradient flows and pregeodesics. This was one of the many important contributions of Amari to information geometry. In…
Optimizing information flow in Gene Regulatory Networks: a geometric perspective
Miguel Ángel García-Ariza, Alessandro Bravetti, Pablo Padilla +1
The dynamics of gene regulatory networks is governed by the interaction between deterministic biochemical reactions and molecular noise. To understand how gene regulatory networks…
Asymmetric Relaxations Through the Lens of Information Geometry
Alessandro Bravetti, Miguel Ángel García Ariza, Pablo Padilla
We frame Newton's Law of Cooling as a gradient flow within the context of information geometry. This connects it to a thermodynamic uncertainty relation and the Horse-Carrot Theore…
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries
A. Bravetti, S. Grillo, J. C. Marrero +1
In this paper, we discuss the reduction of symplectic Hamiltonian systems by scaling and standard symmetries which commute. We prove that such a reduction process produces a so-cal…
Scaling symmetries and canonoid transformations in Hamiltonian systems
R. Azuaje, A. Bravetti
We investigate various types of symmetries and their mutual relationships in Hamiltonian systems defined on manifolds with different geometric structures: symplectic, cosymplectic,…
The flow method for the Baker-Campbell-Hausdorff formula: exact results
Federico Zadra, Alessandro Bravetti, Angel Alejandro García-Chung +1
Leveraging techniques from the literature on geometric numerical integration, we propose a new general method to compute exact expressions for the BCH formula. In its utmost genera…