49 citations · 159 across the 22 of their papers we have counts for
25 papers
Animal social networks as intersections graphs of random walks
Paolo Cermelli, Silvia Marchese, Laura Sacerdote +1
We study here the social network generated by the asynchronous visits, to a fixed set of sites, of mobile agents modelled as independent random walks on the plane lattice. The soci…
Supplementary Materials to Graph Convolutional Branch and Bound
Lorenzo Sciandra, Roberto Esposito, Andrea Cesare Grosso +2
This article explores the integration of deep learning models into combinatorial optimization pipelines, specifically targeting NP-hard problems. Traditional exact algorithms for s…
Do random initial degrees suppress concentration in preferential attachment graphs?
T. Makai, F. Polito, L. Sacerdote
We consider the open problem concerning the possible lack of concentration of the degree distribution in preferential attachment graphs with random initial degree, when its distrib…
Some exact results on Lindley process with Laplace jumps
Emanuele Lucrezia, Laura Sacerdote, Cristina Zucca
We consider a Lindley process with Laplace distributed space increments. We obtain closed form recursive expressions for the density function of the position of the process and for…
Input-output consistency in integrate and fire interconnected neurons
Petr Lansky, Federico Polito, Laura Sacerdote
Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that the output of some neurons becomes the input of others. The output shoul…
Jacobi processes with jumps as neuronal models: a first passage time analysis
Giuseppe D'Onofrio, Pierre Patie, Laura Sacerdote
To overcome some limits of classical neuronal models, we propose a Markovian generalization of the classical model based on Jacobi processes by introducing downwards jumps to descr…
A sharp bound on the expected local time of a continuous -bounded Martingale
David Gilat, Isaac Meilijson, Laura Sacerdote
For a continuous -bounded Martingale with no intervals of constancy, starting at and having final variance , the expected local time at is at m…
On dynamic random graphs with degree homogenization via anti-preferential attachment probabilities
Umberto De Ambroggio, Federico Polito, Laura Sacerdote
We analyze a dynamic random undirected graph in which newly added vertices are connected to those already present in the graph either using, with probability , an anti-preferent…
A study of dependency features of spike trains through copulas
Pietro Verzelli, Laura Sacerdote
Simultaneous recordings from many neurons hide important information and the connections characterizing the network remain generally undiscovered despite the progresses of statisti…
Scale-free behavior of networks with the copresence of preferential and uniform attachment rules
Angelica Pachon, Laura Sacerdote, Shuyi Yang
Complex networks in different areas exhibit degree distributions with heavy upper tail. A preferential attachment mechanism in a growth process produces a graph with this feature.…
On a class of Time-fractional Continuous-state Branching Processes
Luisa Andreis, Federico Polito, Laura Sacerdote
We propose a class of non-Markov population models with continuous or discrete state space via a limiting procedure involving sequences of rescaled and randomly time-changed Galton…
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.…
A copula-based method to build diffusion models with prescribed marginal and serial dependence
Enrico Bibbona, Laura Sacerdote, Emiliano Torre
This paper investigates the probabilistic properties that determine the existence of space-time transformations between diffusion processes. We prove that two diffusions are relate…
Random Graphs Associated to some Discrete and Continuous Time Preferential Attachment Models
Angelica Pachon, Federico Polito, Laura Sacerdote
We give a common description of Simon, Barabási--Albert, II-PA and Price growth models, by introducing suitable random graph processes with preferential attachment mechanisms. Thro…
Joint densities of first hitting times of a diffusion process through two time dependent boundaries
Laura Sacerdote, Ottavia Telve, Cristina Zucca
Consider a one dimensional diffusion process on the diffusion interval originated in . Let and be two continuous functions of , with bounded…
Weak convergence of marked point processes generated by crossings of multivariate jump processes. Applications to neural network modeling
Massimiliano Tamborrino, Laura Sacerdote, Martin Jacobsen
We consider the multivariate point process determined by the crossing times of the components of a multivariate jump process through a multivariate boundary, assuming to reset each…
The role of detachment of in-links in scale-free networks
Petr Lansky, Federico Polito, Laura Sacerdote
Real-world networks may exhibit detachment phenomenon determined by the cancelling of previously existing connections. We discuss a tractable extension of Yule model to account for…
Superprocesses as models for information dissemination in the Future Internet
Laura Sacerdote, Michele Garetto, Federico Polito +1
Future Internet will be composed by a tremendous number of potentially interconnected people and devices, offering a variety of services, applications and communication opportuniti…
On Firing Rate Estimation for Dependent Interspike Intervals
Elisa Benedetto, Federico Polito, Laura Sacerdote
If interspike intervals are dependent the instantaneous firing rate does not catch important features of spike trains. In this case the conditional instantaneous rate plays the rol…
First passage times of two-correlated processes: analytical results for the Wiener process and a numerical method for diffusion processes
Laura Sacerdote, Massimiliano Tamborrino, Cristina Zucca
Given a two-dimensional correlated diffusion process, we determine the joint density of the first passage times of the process to some constant boundaries. This quantity depends on…
A first passage problem for a bivariate diffusion process: numerical solution with an application to neuroscience
Elisa Benedetto, Laura Sacerdote, Cristina Zucca
We consider a bivariate diffusion process and we study the first passage time of one component through a boundary. We prove that its probability density is the unique solution of a…
Stochastic Integrate and Fire Models: a review on mathematical methods and their applications
Laura Sacerdote, Maria Teresa Giraudo
Mathematical models are an important tool for neuroscientists. During the last thirty years many papers have appeared on single neuron description and specifically on stochastic In…