The physics of higher-order interactions in complex systems

被引：530

作者：

Battiston, Federico ^{[1
]}

Amico, Enrico ^{[2
,3
]}

Barrat, Alain ^{[4
,5
]}

Bianconi, Ginestra ^{[6
,7
]}

Ferraz de Arruda, Guilherme ^{[8
]}

Franceschiello, Benedetta ^{[9
,10
,11
]}

Iacopini, Iacopo

Kefi, Sonia ^{[12
,13
]}

Latora, Vito ^{[6
,14
,15
,16
]}

Moreno, Yamir ^{[8
,16
,17
,18
]}

Murray, Micah M. ^{[9
,10
,11
,19
]}

Peixoto, Tiago P. ^{[1
,20
]}

Vaccarino, Francesco ^{[21
,22
]}

Petri, Giovanni ^{[8
,23
]}

机构：

[1] Cent European Univ, Dept Network & Data Sci, Vienna, Austria

[2] Ecole Polytech Fed Lausanne, Inst Bioengn, Ctr Neuroprosthet, Lausanne, Switzerland

[3] Univ Geneva, Dept Radiol & Med Informat, Geneva, Switzerland

[4] Aix Marseille Univ, Univ Toulon, CNRS, CPT, Marseille, France

[5] Tokyo Inst Technol, Tokyo Tech World Res Hub Initiat WRHI, Tokyo, Japan

[6] Queen Mary Univ London, Sch Math Sci, London, England

[7] Alan Turing Inst, British Lib, London, England

[8] ISI Fdn, Math & Complex Syst Res Area, Turin, Italy

[9] Lausanne Univ Hosp, Dept Radiol, Lab Invest Neurophysiol LINE, Lausanne, Switzerland

[10] Univ Lausanne, Lausanne, Switzerland

[11] Univ Lausanne CHUV UNIL, CIBM Ctr Biomed Imaging, Lausanne, Switzerland

[12] Univ Montpellier, CNRS, ISEM, IRD EPHE, Montpellier, France

[13] Santa Fe Inst, Santa Fe, NM 87501 USA

[14] Univ Catania, Dipartimento Fis Astron, Catania, Italy

[15] INFN Sez Catania, Catania, Italy

[16] Complex Sci Hub Vienna CSHV, Vienna, Austria

[17] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, Zaragoza, Spain

[18] Univ Zaragoza, Dept Theoret Phys, Zaragoza, Spain

[19] Vanderbilt Univ, Dept Hearing & Speech Sci, 221 Kirkland Hall, Nashville, TN 37235 USA

[20] Univ Bath, Dept Math Sci, Bath, Avon, England

[21] Politecn Torino, Dipartimento Sci Matemat, Turin, Italy

[22] Politecn Torino, SmartData PoliTO, Turin, Italy

[23] ISI Global Sci Fdn, New York, NY 10036 USA

来源：

NATURE PHYSICS | 2021年 / 17卷 / 10期

关键词：

EXPLOSIVE PERCOLATION; NETWORKS; DYNAMICS; SYNCHRONY; PATTERNS; MULTILAYER; SYMMETRY; MODELS;

D O I：

10.1038/s41567-021-01371-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Network representations of complex systems are limited to pairwise interactions, but real-world systems often involve higher-order interactions. This Perspective looks at the new physics emerging from attempts to characterize these interactions. Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, whereas real-world systems are often characterized by higher-order interactions involving groups of three or more units. Higher-order structures, such as hypergraphs and simplicial complexes, are therefore a better tool to map the real organization of many social, biological and man-made systems. Here, we highlight recent evidence of collective behaviours induced by higher-order interactions, and we outline three key challenges for the physics of higher-order systems.

引用

页码：1093 / 1098

页数：6

共 111 条

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