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math.DS2020
Entropy monotonicity and superstable cycles for the quadratic family revisited
José M. Amigó, Angel Giménez
The main result of this paper is a proof using real analysis of the monotonicity of the topological entropy for the family of quadratic maps, sometimes called Milnor's Monotonicity…
math.DS2020
Internet congestion control: from stochastic to dynamical models
José M. Amigó, Angel Giménez, Oscar Martínez-Bonastre +1
Since its inception, control of data congestion on the Internet has been based on stochastic models. One of the first such models was Random Early Detection. Later, this model was…
math.DS2019
Differentiable programming and its applications to dynamical systems
Adrián Hernández, José M. Amigó
Differentiable programming is the combination of classical neural networks modules with algorithmic ones in an end-to-end differentiable model. These new models, that use automatic…