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Maximum principles, Liouville theorem and symmetry results for the fractional g-Laplacian
(Pergamon-Elsevier Science Ltd, 2021-11)
We study different maximum principles for non-local non-linear operators with non-standard growth that arise naturally in the context of fractional Orlicz–Sobolev spaces and whose most notable representative is the fractional ...
Principle of maximum caliber and quantum physics
(American Physical Society, 2018-07)
MaxCal is a variational principle that can be used to infer distributions of paths in the phase space of dynamical systems. It has been successfully applied to different areas of classical physics, in particular statistical ...
Optimal control of a delayed breast cancer stem cells nonlinear model
(John Wiley & Sons Ltd, 2014-12)
In this article, we consider a nonlinear model, which is governed by an ordinary differential equations systemwith time delays in state and control. The model is used in order to describe the growth of breast cancer ...
Geometric probability theory and Jaynes’s methodology
(World Scientific, 2015-03)
We provide a generalization of the approach to geometric probability advanced by the great mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical theories. In particular, we use this ...
Optimal control of a grid assisted photovoltaic-hydrogen production system
(Elsevier Science, 2019-06)
This paper deals with the optimal control of a H2 production system supplied by a photovoltaic solar energy and assisted by the grid. For that, we propose a simple dynamic model accounting for the main features of the ...
The principle of maximum entropy explains the cores observed in the mass distribution of dwarf galaxies
(EDP Sciences, 2020-10)
Cold dark matter (CDM) simulations predict a central cusp in the mass distribution of galaxies. This prediction is in stark contrast with observations of dwarf galaxies that show a central plateau or "core"in their density ...
Compensated convexity methods for approximations and interpolations of sampled functions in euclidean spaces: Applications to contour lines, sparse data, and inpainting
(Society for Industrial and Applied Mathematics Publications, 2018-10)
This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [K. Zhang, E. Crooks, and A. Orlando, SIAM J. Math. Anal., 48 (2016), pp. ...
Control of a grid assisted PV-H2 production system: A comparative study between optimal control and hybrid MPC
(Elsevier, 2020-08)
Hydrogen production systems supplied by photovoltaic solar energy have nonlinear dynamics and discontinuities which must be taken into account when a control system is applied. The main purpose of the control system is to ...
MaxEnt and dynamical information
(Springer, 2012-05)
The MaxEnt solutions are shown to display a variety of behaviors (beyond the traditional and customary exponential one) if adequate dynamical information is inserted into the concomitant entropic-variational principle. In ...
Variational principle underlying scale invariant social systems
(Springer, 2012-08)
MaxEnt's variational principle, in conjunction with Shannon's logarithmic information measure, yields only exponential functional forms in straightforward fashion. In this communication we show how to overcome this limitation ...