227 citations · 1.7k across the 96 of their papers we have counts for
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Quantifying the degree of average contraction of Collatz orbits
Timoteo Carletti, Duccio Fanelli
We here elaborate on a quantitative argument to support the validity of the Collatz conjecture, also known as the (3x + 1) or Syracuse conjecture. The analysis is structured as fol…
Interaction prediction between groundwater and quarry extension using discrete choice models and artificial neural networks
Johan Barthélemy, Timoteo Carletti, Louise Collier +3
Groundwater and rock are intensively exploited in the world. When a quarry is deepened the water table of the exploited geological formation might be reached. A dewatering system i…
Hamiltonian control of Kuramoto oscillators
Oltiana Gjata, Malbor Asllani, Luigi Barletti +1
Many coordination phenomena are based on a synchronisation process, whose global behaviour emerges from the interactions among the individual parts. Often in Nature, such self-orga…
Benjamin-Feir instabilities on directed networks
Francesca Di Patti, Duccio Fanelli, Filippo Miele +1
The Complex Ginzburg-Landau equation is studied assuming a directed network of coupled oscillators. The asymmetry makes the spectrum of the Laplacian operator complex, and it is ul…
Stationarity of the inter-event power-law distributions
Yerali Gandica, Joao Carvalho, Fernando Sampaio Dos Aidos +2
A number of human activities exhibit a bursty pattern, namely periods of very high activity that are followed by rest periods. Records of these processes generate time series of ev…
Onset of anomalous diffusion from local motion rules
Sarah de Nigris, Timoteo Carletti, Renaud Lambiotte
Anomalous diffusion processes, in particular superdiffusive ones, are known to be efficient strategies for searching and navigation by animals and also in human mobility. One way t…