49 citations · 159 across the 22 of their papers we have counts for
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The Gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model
Petr Lansky, Laura Sacerdote, Cristina Zucca
Statistical properties of spike trains as well as other neurophysiological data suggest a number of mathematical models of neurons. These models range from entirely descriptive one…
On the continuous-time limit of the Barabási-Albert random graph
Angelica Pachon, Federico Polito, Laura Sacerdote
We prove that the Barabási-Albert model converges weakly to a set of generalized Yule models via an appropriate scaling. To pursue this aim we superimpose to its graph structure a…
Generalized Nonlinear Yule Models
Petr Lansky, Federico Polito, Laura Sacerdote
With the aim of considering models with persistent memory we propose a fractional nonlinear modification of the classical Yule model often studied in the context of macrovolution.…