Study of mean-first-passage time and Kemeny's constant of a random walk by normalized Laplacian matrices of a penta-chain network
The mean first-passage time (MFPT), which refers to the expected time it takes for a system
to reach a state j given its current state i, that is t ji, falls under the fundamental theory of …
to reach a state j given its current state i, that is t ji, falls under the fundamental theory of …
Distribution of centrality measures on undirected random networks via the cavity method
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 ensembles of locally tree …
far as the flow of information across the network is concerned. For ensembles of locally tree …
Memristive linear algebra
J Lin, F Barrows, F Caravelli - arXiv preprint arXiv:2407.20539, 2024 - arxiv.org
The advent of memristive devices offers a promising avenue for efficient and scalable
analog computing, particularly for linear algebra operations essential in various scientific …
analog computing, particularly for linear algebra operations essential in various scientific …
Correlation between upstreamness and downstreamness in random global value chains
This paper is concerned with upstreamness and downstreamness of industries and
countries in global value chains. Upstreamness and downstreamness measure respectively …
countries in global value chains. Upstreamness and downstreamness measure respectively …
Ranking influential nodes in networks from aggregate local information
Many complex systems exhibit a natural hierarchy in which elements can be ranked
according to a notion of “influence”. While the complete and accurate knowledge of the …
according to a notion of “influence”. While the complete and accurate knowledge of the …
[图书][B] Upstreamness and downstreamness in input-output analysis from local and aggregate information
S Bartolucci, F Caccioli, F Caravelli, P Vivo - 2024 - systemicrisk.ac.uk
Ranking sectors and countries within global value chains is of paramount importance to
estimate risks and forecast growth in large economies. However, this task is often nontrivial …
estimate risks and forecast growth in large economies. However, this task is often nontrivial …
Exposure theory for learning complex networks with random walks
AA Klishin, DS Bassett - Journal of Complex Networks, 2022 - academic.oup.com
Random walks are a common model for the exploration and discovery of complex networks.
While numerous algorithms have been proposed to map out an unknown network, a …
While numerous algorithms have been proposed to map out an unknown network, a …
Exact and approximate mean first passage times on trees and other necklace structures: a local equilibrium approach
In this work we propose a novel method to calculate mean first-passage times (MFPTs) for
random walks on graphs, based on a dimensionality reduction technique for Markov state …
random walks on graphs, based on a dimensionality reduction technique for Markov state …
Statistics of the largest eigenvalues and singular values of low-rank random matrices with non-negative entries
We compute analytically the distribution and moments of the largest eigenvalues/singular
values and resolvent statistics for random matrices with (i) non-negative entries,(ii) small …
values and resolvent statistics for random matrices with (i) non-negative entries,(ii) small …
R-Ising: Effective resistance in random magnetic nanowires networks
F Barrows, E Iacocca, F Caravelli - arXiv preprint arXiv:2410.21999, 2024 - arxiv.org
Random assemblies of magnetic nanowires represent a unique class of materials with
promising applications in spintronics and information storage. These assemblies exhibit …
promising applications in spintronics and information storage. These assemblies exhibit …