197 citations · 2.1k across the 93 of their papers we have counts for
5 papers · 1 filter
A percolation model for the emergence of the Bitcoin Lightning Network
Silvia Bartolucci, Fabio Caccioli, Pierpaolo Vivo
The Lightning Network is a so-called second-layer technology built on top of the Bitcoin blockchain to provide "off-chain" fast payment channels between users, which means that not…
Universal transient behavior in large dynamical systems on networks
Wojciech Tarnowski, Izaak Neri, Pierpaolo Vivo
We analyze how the transient dynamics of large dynamical systems in the vicinity of a stationary point, modeled by a set of randomly coupled linear differential equations, depends…
A memory-based method to select the number of relevant components in Principal Component Analysis
Anshul Verma, Pierpaolo Vivo, Tiziana Di Matteo
We propose a new data-driven method to select the optimal number of relevant components in Principal Component Analysis (PCA). This new method applies to correlation matrices whose…
Top Eigenpair Statistics for Weighted Sparse Graphs
Vito Antonio Rocco Susca, Pierpaolo Vivo, Reimer Kuehn
We develop a formalism to compute the statistics of the top eigenpair of weighted sparse graphs with finite mean connectivity and bounded maximal degree. Framing the problem in ter…
Exact Distributions of Currents and Frenesy for Markov Bridges
Édgar Roldán, Pierpaolo Vivo
We consider discrete-time Markov bridges, chains whose initial and final states coincide. We derive exact finite-time formulae for the joint probability distributions of additive f…