Search Results - "Vivo, Pierpaolo"

From non-ergodic eigenvectors to local resolvent statistics and back: A random matrix perspective by Facoetti, Davide, Vivo, Pierpaolo, Biroli, Giulio

“…We study the statistics of the local resolvent and non-ergodic properties of eigenvectors for a generalised Rosenzweig-Porter random matrix model, undergoing…”
Get full text

A percolation model for the emergence of the Bitcoin Lightning Network by Bartolucci, Silvia, Caccioli, Fabio, Vivo, Pierpaolo

“…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,…”
Get full text

A minimalistic model of bias, polarization and misinformation in social networks by Sikder, Orowa, Smith, Robert E., Vivo, Pierpaolo, Livan, Giacomo

“…Online social networks provide users with unprecedented opportunities to engage with diverse opinions. At the same time, they enable confirmation bias on large…”
Get full text

Maximal modularity and the optimal size of parliaments by Gamberi, Luca, Förster, Yanik-Pascal, Tzanis, Evan, Annibale, Alessia, Vivo, Pierpaolo

“…An important question in representative democracies is how to determine the optimal parliament size of a given country. According to an old conjecture, known…”
Get full text

Universal transient behavior in large dynamical systems on networks by Tarnowski, Wojciech, Neri, Izaak, Vivo, Pierpaolo

“…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…”
Get full text

Number of relevant directions in principal component analysis and Wishart random matrices by Majumdar, Satya N, Vivo, Pierpaolo

“…We compute analytically, for large N, the probability P(N+,N) that a N×N Wishart random matrix has N+ eigenvalues exceeding a threshold Nζ, including its large…”
Get full text

Ranking influential nodes in networks from aggregate local information by Bartolucci, Silvia, Caccioli, Fabio, Caravelli, Francesco, Vivo, Pierpaolo

“…Many complex systems exhibit a natural hierarchy in which elements can be ranked according to a notion of “influence”. While the complete and accurate…”
Get full text

Cost of excursions until first crossing of the origin for random walk and Lévy flights: An exact general formula by Mori, Francesco, Majumdar, Satya N., Vivo, Pierpaolo

“…We consider a discrete-time random walk on a line starting at x 0 ≥ 0 where a cost is incurred at each jump. We obtain an exact analytical formula for the…”
Get full text

Price of information in games of chance: A statistical physics approach by Gamberi, Luca, Annibale, Alessia, Vivo, Pierpaolo

“…Information in the form of , which can be stored and transferred between users, can be viewed as an intangible commodity, which can be traded in exchange for…”
Get full text

"Spectrally gapped" random walks on networks: a Mean First Passage Time formula by Bartolucci, Silvia, Caccioli, Fabio, Caravelli, Francesco, Vivo, Pierpaolo

“…We derive an approximate but explicit formula for the Mean First Passage Time of a random walker between a source and a target node of a directed and weighted…”
Get full text

Graphie: A network-based visual interface for the UK's primary legislation [version 1; peer review: 2 approved] by Tzanis, Evan, Vivo, Pierpaolo, Förster, Yanik-Pascal, Gamberi, Luca, Annibale, Alessia

“…Background: legislation.gov.uk is a platform that enables users to explore and navigate the many sections of the UK's legal corpus through its well-designed…”
Get full text

Distributions of conductance and shot noise and associated phase transitions by Vivo, Pierpaolo, Majumdar, Satya N, Bohigas, Oriol

“…For a chaotic cavity with two identical leads each supporting N channels, we compute analytically, for large N, the full distribution of the conductance and…”
Get full text

Cavity and replica methods for the spectral density of sparse symmetric random matrices by Susca, Vito A. R., Vivo, Pierpaulo, Kühn, Reimer

“…We review the problem of how to compute the spectral density of sparse symmetric random matrices, i.e. weighted adjacency matrices of undirected graphs…”
Get full text

Random matrix approach to collective behavior and bulk universality in protein dynamics by Potestio, Raffaello, Caccioli, Fabio, Vivo, Pierpaolo

“…Covariance matrices of amino acid displacements, commonly used to characterize the large-scale movements of proteins, are investigated through the prism of…”
Get full text

Equilibrium strategy and population-size effects in lowest unique bid auctions by Pigolotti, Simone, Bernhardsson, Sebastian, Juul, Jeppe, Galster, Gorm, Vivo, Pierpaolo

“…In lowest unique bid auctions, N players bid for an item. The winner is whoever places the lowest bid, provided that it is also unique. We use a grand…”
Get full text

Distribution of centrality measures on undirected random networks via the cavity method by Bartolucci, Silvia, Caccioli, Fabio, Caravelli, Francesco, Vivo, Pierpaolo

“…The Katz centrality of a node in a complex network is a measure of the node's importance as far as the flow of information across the network is concerned. For…”
Get full text

Distribution of centrality measures on undirected random networks via the cavity method by Bartolucci, Silvia, Caccioli, Fabio, Caravelli, Francesco, Vivo, Pierpaolo

“…The Katz centrality of a node in a complex network is a measure of the node's importance as far as the flow of information across the network is concerned. For…”
Get full text

Large Deviations of Radial Statistics in the Two-Dimensional One-Component Plasma by Cunden, Fabio Deelan, Mezzadri, Francesco, Vivo, Pierpaolo

“…The two-dimensional one-component plasma is an ubiquitous model for several vortex systems. For special values of the coupling constant β q 2 (where q is the…”
Get full text

Universal covariance formula for linear statistics on random matrices by Cunden, Fabio Deelan, Vivo, Pierpaolo

“…We derive an analytical formula for the covariance cov(A,B) of two smooth linear statistics A=[under ∑]ia(λ_{i}) and B=[under ∑]ib(λ_{i}) to leading order for…”
Get full text

Entanglement production in nonideal cavities and optimal opacity by Villamaina, Dario, Vivo, Pierpaolo

“…We compute analytically the distributions of concurrence C and squared norm N for the production of electronic entanglement in a chaotic quantum dot. The dot…”
Get full text