Hybrid universality classes of systemic cascades

Abstract Cascades are self-reinforcing processes underlying the systemic risk of many complex systems. Understanding the universal aspects of these phenomena is of fundamental interest, yet typically bound to numerical observations in ad-hoc models and limited insights. Here, we develop a unifying a...

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Main Authors: I. Bonamassa, B. Gross, J. Kertész, S. Havlin
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-55639-3
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author I. Bonamassa
B. Gross
J. Kertész
S. Havlin
author_facet I. Bonamassa
B. Gross
J. Kertész
S. Havlin
author_sort I. Bonamassa
collection DOAJ
description Abstract Cascades are self-reinforcing processes underlying the systemic risk of many complex systems. Understanding the universal aspects of these phenomena is of fundamental interest, yet typically bound to numerical observations in ad-hoc models and limited insights. Here, we develop a unifying approach that reveals two distinct universality classes of cascades determined by the global symmetry of the cascading process. We provide hyperscaling arguments predicting hybrid critical phenomena characterized by a combination of both mean-field spinodal exponents and d-dimensional corrections, and show how parity invariance influences the geometry and lifetime of critical avalanches. Our theory applies to a wide range of networked systems in arbitrary dimensions, as we demonstrate by simulations encompassing classic and novel cascade models, revealing universal principles of cascade critical phenomena amenable to experimental validation.
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spelling doaj-art-51fb4ad1d1e746fd87ff8478bc5280a22025-02-09T12:46:04ZengNature PortfolioNature Communications2041-17232025-02-0116111010.1038/s41467-024-55639-3Hybrid universality classes of systemic cascadesI. Bonamassa0B. Gross1J. Kertész2S. Havlin3Department of Network and Data Science, CEUNetwork Science Institute, Northeastern UniversityDepartment of Network and Data Science, CEUDepartment of Physics, Bar-Ilan UniversityAbstract Cascades are self-reinforcing processes underlying the systemic risk of many complex systems. Understanding the universal aspects of these phenomena is of fundamental interest, yet typically bound to numerical observations in ad-hoc models and limited insights. Here, we develop a unifying approach that reveals two distinct universality classes of cascades determined by the global symmetry of the cascading process. We provide hyperscaling arguments predicting hybrid critical phenomena characterized by a combination of both mean-field spinodal exponents and d-dimensional corrections, and show how parity invariance influences the geometry and lifetime of critical avalanches. Our theory applies to a wide range of networked systems in arbitrary dimensions, as we demonstrate by simulations encompassing classic and novel cascade models, revealing universal principles of cascade critical phenomena amenable to experimental validation.https://doi.org/10.1038/s41467-024-55639-3
spellingShingle I. Bonamassa
B. Gross
J. Kertész
S. Havlin
Hybrid universality classes of systemic cascades
Nature Communications
title Hybrid universality classes of systemic cascades
title_full Hybrid universality classes of systemic cascades
title_fullStr Hybrid universality classes of systemic cascades
title_full_unstemmed Hybrid universality classes of systemic cascades
title_short Hybrid universality classes of systemic cascades
title_sort hybrid universality classes of systemic cascades
url https://doi.org/10.1038/s41467-024-55639-3
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