Autocorrelation properties of temporal networks governed by dynamic node variables

We study synthetic temporal networks whose evolution is determined by stochastically evolving node variables—synthetic analogues of, e.g., temporal proximity networks of mobile agents. We quantify the long-timescale correlations of these evolving networks by an autocorrelative measure of network-str...

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Main Authors: Harrison Hartle, Naoki Masuda
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.013083
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author Harrison Hartle
Naoki Masuda
author_facet Harrison Hartle
Naoki Masuda
author_sort Harrison Hartle
collection DOAJ
description We study synthetic temporal networks whose evolution is determined by stochastically evolving node variables—synthetic analogues of, e.g., temporal proximity networks of mobile agents. We quantify the long-timescale correlations of these evolving networks by an autocorrelative measure of network-structural memory. Several distinct patterns of autocorrelation arise, including power-law decay and exponential decay, depending on the choice of node-variable dynamics and connection probability function. Our methods are also applicable in wider contexts; our temporal network models are tractable mathematically and in simulation, and our long-term memory quantification is analytically tractable and straightforwardly computable from temporal network data.
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institution Kabale University
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publisher American Physical Society
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spelling doaj-art-4ce4a14f519b444b9731fcaaf187b9e82025-01-22T16:08:46ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101308310.1103/PhysRevResearch.7.013083Autocorrelation properties of temporal networks governed by dynamic node variablesHarrison HartleNaoki MasudaWe study synthetic temporal networks whose evolution is determined by stochastically evolving node variables—synthetic analogues of, e.g., temporal proximity networks of mobile agents. We quantify the long-timescale correlations of these evolving networks by an autocorrelative measure of network-structural memory. Several distinct patterns of autocorrelation arise, including power-law decay and exponential decay, depending on the choice of node-variable dynamics and connection probability function. Our methods are also applicable in wider contexts; our temporal network models are tractable mathematically and in simulation, and our long-term memory quantification is analytically tractable and straightforwardly computable from temporal network data.http://doi.org/10.1103/PhysRevResearch.7.013083
spellingShingle Harrison Hartle
Naoki Masuda
Autocorrelation properties of temporal networks governed by dynamic node variables
Physical Review Research
title Autocorrelation properties of temporal networks governed by dynamic node variables
title_full Autocorrelation properties of temporal networks governed by dynamic node variables
title_fullStr Autocorrelation properties of temporal networks governed by dynamic node variables
title_full_unstemmed Autocorrelation properties of temporal networks governed by dynamic node variables
title_short Autocorrelation properties of temporal networks governed by dynamic node variables
title_sort autocorrelation properties of temporal networks governed by dynamic node variables
url http://doi.org/10.1103/PhysRevResearch.7.013083
work_keys_str_mv AT harrisonhartle autocorrelationpropertiesoftemporalnetworksgovernedbydynamicnodevariables
AT naokimasuda autocorrelationpropertiesoftemporalnetworksgovernedbydynamicnodevariables