Emergent lifetime distribution from complex network systems aging Article Swipe

PDF

Yimeng Liu , Shaobo Sui , Dan Lu , Rui Peng , M. Bai , Daqing Li ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2311.07393

Most theoretical analysis for lifetime distribution explains origins of specific distribution based on independent failure. We develop a unified framework encompassing different lifetime distribution for failure-coupled network systems. We find three types of system lifetime distributions emerged from competence between system size N and failure coupling strength $ϕ$. System lifetime distribution can be describe by modified Weibull model, which degenerates into Gompertz model when N dominates and exponential distribution when $ϕ$ dominates. We derive asymptotic lifetime distribution. Specially, we derive a fundamental equation of thermodynamics for failure-coupled systems. Our study will help design highly reliable systems.

Related Topics

Mathematical Analysis

Artificial Intelligence

Concepts

Weibull distribution Statistical physics Exponential distribution Gompertz function Exponential function Applied mathematics Distribution (mathematics) Complex system Failure rate Mathematics Computer science Physics Statistics Mathematical analysis Artificial intelligence

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2311.07393
PDF: https://arxiv.org/pdf/2311.07393
OA Status: green
Cited By: 1
References: 33
Related Works: 10
OpenAlex ID: https://openalex.org/W4388685585

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4388685585

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2311.07393

Digital Object Identifier
Title: Emergent lifetime distribution from complex network systems aging

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2023

Year of publication
Publication date: 2023-11-13

Full publication date if available
Authors: Yimeng Liu, Shaobo Sui, Dan Lu, Rui Peng, M. Bai, Daqing Li

List of authors in order
Landing page: https://arxiv.org/abs/2311.07393

Publisher landing page
PDF URL: https://arxiv.org/pdf/2311.07393

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2311.07393

Direct OA link when available
Concepts: Weibull distribution, Statistical physics, Exponential distribution, Gompertz function, Exponential function, Applied mathematics, Distribution (mathematics), Complex system, Failure rate, Mathematics, Computer science, Physics, Statistics, Mathematical analysis, Artificial intelligence

Top concepts (fields/topics) attached by OpenAlex
Cited by: 1

Total citation count in OpenAlex
Citations by year (recent): 2025: 1

Per-year citation counts (last 5 years)
References (count): 33

Number of works referenced by this work
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4388685585
doi	https://doi.org/10.48550/arxiv.2311.07393
ids.doi	https://doi.org/10.48550/arxiv.2311.07393
ids.openalex	https://openalex.org/W4388685585
fwci	0.21567518
type	preprint
title	Emergent lifetime distribution from complex network systems aging
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T10064
topics[0].field.id	https://openalex.org/fields/31
topics[0].field.display_name	Physics and Astronomy
topics[0].score	0.998199999332428
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/3109
topics[0].subfield.display_name	Statistical and Nonlinear Physics
topics[0].display_name	Complex Network Analysis Techniques
topics[1].id	https://openalex.org/T10591
topics[1].field.id	https://openalex.org/fields/31
topics[1].field.display_name	Physics and Astronomy
topics[1].score	0.9192000031471252
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/3104
topics[1].subfield.display_name	Condensed Matter Physics
topics[1].display_name	Theoretical and Computational Physics
topics[2].id	https://openalex.org/T10913
topics[2].field.id	https://openalex.org/fields/22
topics[2].field.display_name	Engineering
topics[2].score	0.9031000137329102
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2208
topics[2].subfield.display_name	Electrical and Electronic Engineering
topics[2].display_name	Molecular Junctions and Nanostructures
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C173291955
concepts[0].level	2
concepts[0].score	0.8825323581695557
concepts[0].wikidata	https://www.wikidata.org/wiki/Q732332
concepts[0].display_name	Weibull distribution
concepts[1].id	https://openalex.org/C121864883
concepts[1].level	1
concepts[1].score	0.6801257133483887
concepts[1].wikidata	https://www.wikidata.org/wiki/Q677916
concepts[1].display_name	Statistical physics
concepts[2].id	https://openalex.org/C55350006
concepts[2].level	2
concepts[2].score	0.6213856339454651
concepts[2].wikidata	https://www.wikidata.org/wiki/Q237193
concepts[2].display_name	Exponential distribution
concepts[3].id	https://openalex.org/C134463574
concepts[3].level	2
concepts[3].score	0.516045093536377
concepts[3].wikidata	https://www.wikidata.org/wiki/Q1011785
concepts[3].display_name	Gompertz function
concepts[4].id	https://openalex.org/C151376022
concepts[4].level	2
concepts[4].score	0.4975602924823761
concepts[4].wikidata	https://www.wikidata.org/wiki/Q168698
concepts[4].display_name	Exponential function
concepts[5].id	https://openalex.org/C28826006
concepts[5].level	1
concepts[5].score	0.47048047184944153
concepts[5].wikidata	https://www.wikidata.org/wiki/Q33521
concepts[5].display_name	Applied mathematics
concepts[6].id	https://openalex.org/C110121322
concepts[6].level	2
concepts[6].score	0.4535958170890808
concepts[6].wikidata	https://www.wikidata.org/wiki/Q865811
concepts[6].display_name	Distribution (mathematics)
concepts[7].id	https://openalex.org/C47822265
concepts[7].level	2
concepts[7].score	0.4497062563896179
concepts[7].wikidata	https://www.wikidata.org/wiki/Q854457
concepts[7].display_name	Complex system
concepts[8].id	https://openalex.org/C163164238
concepts[8].level	2
concepts[8].score	0.4111630618572235
concepts[8].wikidata	https://www.wikidata.org/wiki/Q2737027
concepts[8].display_name	Failure rate
concepts[9].id	https://openalex.org/C33923547
concepts[9].level	0
concepts[9].score	0.3633710741996765
concepts[9].wikidata	https://www.wikidata.org/wiki/Q395
concepts[9].display_name	Mathematics
concepts[10].id	https://openalex.org/C41008148
concepts[10].level	0
concepts[10].score	0.35631367564201355
concepts[10].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[10].display_name	Computer science
concepts[11].id	https://openalex.org/C121332964
concepts[11].level	0
concepts[11].score	0.27070385217666626
concepts[11].wikidata	https://www.wikidata.org/wiki/Q413
concepts[11].display_name	Physics
concepts[12].id	https://openalex.org/C105795698
concepts[12].level	1
concepts[12].score	0.1877213716506958
concepts[12].wikidata	https://www.wikidata.org/wiki/Q12483
concepts[12].display_name	Statistics
concepts[13].id	https://openalex.org/C134306372
concepts[13].level	1
concepts[13].score	0.15310806035995483
concepts[13].wikidata	https://www.wikidata.org/wiki/Q7754
concepts[13].display_name	Mathematical analysis
concepts[14].id	https://openalex.org/C154945302
concepts[14].level	1
concepts[14].score	0.07663646340370178
concepts[14].wikidata	https://www.wikidata.org/wiki/Q11660
concepts[14].display_name	Artificial intelligence
keywords[0].id	https://openalex.org/keywords/weibull-distribution
keywords[0].score	0.8825323581695557
keywords[0].display_name	Weibull distribution
keywords[1].id	https://openalex.org/keywords/statistical-physics
keywords[1].score	0.6801257133483887
keywords[1].display_name	Statistical physics
keywords[2].id	https://openalex.org/keywords/exponential-distribution
keywords[2].score	0.6213856339454651
keywords[2].display_name	Exponential distribution
keywords[3].id	https://openalex.org/keywords/gompertz-function
keywords[3].score	0.516045093536377
keywords[3].display_name	Gompertz function
keywords[4].id	https://openalex.org/keywords/exponential-function
keywords[4].score	0.4975602924823761
keywords[4].display_name	Exponential function
keywords[5].id	https://openalex.org/keywords/applied-mathematics
keywords[5].score	0.47048047184944153
keywords[5].display_name	Applied mathematics
keywords[6].id	https://openalex.org/keywords/distribution
keywords[6].score	0.4535958170890808
keywords[6].display_name	Distribution (mathematics)
keywords[7].id	https://openalex.org/keywords/complex-system
keywords[7].score	0.4497062563896179
keywords[7].display_name	Complex system
keywords[8].id	https://openalex.org/keywords/failure-rate
keywords[8].score	0.4111630618572235
keywords[8].display_name	Failure rate
keywords[9].id	https://openalex.org/keywords/mathematics
keywords[9].score	0.3633710741996765
keywords[9].display_name	Mathematics
keywords[10].id	https://openalex.org/keywords/computer-science
keywords[10].score	0.35631367564201355
keywords[10].display_name	Computer science
keywords[11].id	https://openalex.org/keywords/physics
keywords[11].score	0.27070385217666626
keywords[11].display_name	Physics
keywords[12].id	https://openalex.org/keywords/statistics
keywords[12].score	0.1877213716506958
keywords[12].display_name	Statistics
keywords[13].id	https://openalex.org/keywords/mathematical-analysis
keywords[13].score	0.15310806035995483
keywords[13].display_name	Mathematical analysis
keywords[14].id	https://openalex.org/keywords/artificial-intelligence
keywords[14].score	0.07663646340370178
keywords[14].display_name	Artificial intelligence
language	en
locations[0].id	pmh:oai:arXiv.org:2311.07393
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license
locations[0].pdf_url	https://arxiv.org/pdf/2311.07393
locations[0].version	submittedVersion
locations[0].raw_type	text
locations[0].license_id
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2311.07393
locations[1].id	doi:10.48550/arxiv.2311.07393
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article-journal
locations[1].license_id
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.2311.07393
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5102743166
authorships[0].author.orcid	https://orcid.org/0009-0001-0658-5041
authorships[0].author.display_name	Yimeng Liu
authorships[0].countries	CN
authorships[0].affiliations[0].institution_ids	https://openalex.org/I82880672
authorships[0].affiliations[0].raw_affiliation_string	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[0].institutions[0].id	https://openalex.org/I82880672
authorships[0].institutions[0].ror	https://ror.org/00wk2mp56
authorships[0].institutions[0].type	education
authorships[0].institutions[0].lineage	https://openalex.org/I82880672
authorships[0].institutions[0].country_code	CN
authorships[0].institutions[0].display_name	Beihang University
authorships[0].author_position	first
authorships[0].raw_author_name	Yimeng Liu
authorships[0].is_corresponding	False
authorships[0].raw_affiliation_strings	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[1].author.id	https://openalex.org/A5093264933
authorships[1].author.orcid
authorships[1].author.display_name	Shaobo Sui
authorships[1].countries	CN
authorships[1].affiliations[0].institution_ids	https://openalex.org/I82880672
authorships[1].affiliations[0].raw_affiliation_string	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[1].institutions[0].id	https://openalex.org/I82880672
authorships[1].institutions[0].ror	https://ror.org/00wk2mp56
authorships[1].institutions[0].type	education
authorships[1].institutions[0].lineage	https://openalex.org/I82880672
authorships[1].institutions[0].country_code	CN
authorships[1].institutions[0].display_name	Beihang University
authorships[1].author_position	middle
authorships[1].raw_author_name	Shaobo Sui
authorships[1].is_corresponding	False
authorships[1].raw_affiliation_strings	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[2].author.id	https://openalex.org/A5028590386
authorships[2].author.orcid	https://orcid.org/0000-0002-9274-9398
authorships[2].author.display_name	Dan Lu
authorships[2].countries	CN
authorships[2].affiliations[0].institution_ids	https://openalex.org/I82880672
authorships[2].affiliations[0].raw_affiliation_string	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[2].institutions[0].id	https://openalex.org/I82880672
authorships[2].institutions[0].ror	https://ror.org/00wk2mp56
authorships[2].institutions[0].type	education
authorships[2].institutions[0].lineage	https://openalex.org/I82880672
authorships[2].institutions[0].country_code	CN
authorships[2].institutions[0].display_name	Beihang University
authorships[2].author_position	middle
authorships[2].raw_author_name	Dan Lu
authorships[2].is_corresponding	False
authorships[2].raw_affiliation_strings	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[3].author.id	https://openalex.org/A5081036659
authorships[3].author.orcid	https://orcid.org/0000-0001-6596-0334
authorships[3].author.display_name	Rui Peng
authorships[3].countries	CN
authorships[3].affiliations[0].institution_ids	https://openalex.org/I37796252
authorships[3].affiliations[0].raw_affiliation_string	College of Economics and Management, Beijing University of Technology, Beijing 100124, China
authorships[3].institutions[0].id	https://openalex.org/I37796252
authorships[3].institutions[0].ror	https://ror.org/037b1pp87
authorships[3].institutions[0].type	education
authorships[3].institutions[0].lineage	https://openalex.org/I37796252
authorships[3].institutions[0].country_code	CN
authorships[3].institutions[0].display_name	Beijing University of Technology
authorships[3].author_position	middle
authorships[3].raw_author_name	Rui Peng
authorships[3].is_corresponding	False
authorships[3].raw_affiliation_strings	College of Economics and Management, Beijing University of Technology, Beijing 100124, China
authorships[4].author.id	https://openalex.org/A5101700115
authorships[4].author.orcid	https://orcid.org/0000-0002-7125-1558
authorships[4].author.display_name	M. Bai
authorships[4].countries	CN
authorships[4].affiliations[0].institution_ids	https://openalex.org/I82880672
authorships[4].affiliations[0].raw_affiliation_string	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[4].institutions[0].id	https://openalex.org/I82880672
authorships[4].institutions[0].ror	https://ror.org/00wk2mp56
authorships[4].institutions[0].type	education
authorships[4].institutions[0].lineage	https://openalex.org/I82880672
authorships[4].institutions[0].country_code	CN
authorships[4].institutions[0].display_name	Beihang University
authorships[4].author_position	middle
authorships[4].raw_author_name	Mingyang Bai
authorships[4].is_corresponding	True
authorships[4].raw_affiliation_strings	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[5].author.id	https://openalex.org/A5017991749
authorships[5].author.orcid	https://orcid.org/0000-0003-3143-7750
authorships[5].author.display_name	Daqing Li
authorships[5].countries	CN
authorships[5].affiliations[0].institution_ids	https://openalex.org/I82880672
authorships[5].affiliations[0].raw_affiliation_string	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
authorships[5].institutions[0].id	https://openalex.org/I82880672
authorships[5].institutions[0].ror	https://ror.org/00wk2mp56
authorships[5].institutions[0].type	education
authorships[5].institutions[0].lineage	https://openalex.org/I82880672
authorships[5].institutions[0].country_code	CN
authorships[5].institutions[0].display_name	Beihang University
authorships[5].author_position	last
authorships[5].raw_author_name	Daqing Li
authorships[5].is_corresponding	False
authorships[5].raw_affiliation_strings	Department of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/2311.07393
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Emergent lifetime distribution from complex network systems aging
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T10064
primary_topic.field.id	https://openalex.org/fields/31
primary_topic.field.display_name	Physics and Astronomy
primary_topic.score	0.998199999332428
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/3109
primary_topic.subfield.display_name	Statistical and Nonlinear Physics
primary_topic.display_name	Complex Network Analysis Techniques
related_works	https://openalex.org/W2612366884, https://openalex.org/W1550332805, https://openalex.org/W2028776640, https://openalex.org/W818846059, https://openalex.org/W3130536972, https://openalex.org/W2073570371, https://openalex.org/W1620508096, https://openalex.org/W2357734103, https://openalex.org/W1993222773, https://openalex.org/W1490217699
cited_by_count	1
counts_by_year[0].year	2025
counts_by_year[0].cited_by_count	1
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2311.07393
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license
best_oa_location.pdf_url	https://arxiv.org/pdf/2311.07393
best_oa_location.version	submittedVersion
best_oa_location.raw_type	text
best_oa_location.license_id
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/2311.07393
primary_location.id	pmh:oai:arXiv.org:2311.07393
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license
primary_location.pdf_url	https://arxiv.org/pdf/2311.07393
primary_location.version	submittedVersion
primary_location.raw_type	text
primary_location.license_id
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2311.07393
publication_date	2023-11-13
publication_year	2023
referenced_works	https://openalex.org/W4233085175, https://openalex.org/W3101725915, https://openalex.org/W4225326981, https://openalex.org/W2084198549, https://openalex.org/W2040784055, https://openalex.org/W4235758215, https://openalex.org/W3022561886, https://openalex.org/W2329960319, https://openalex.org/W3092039509, https://openalex.org/W2058042432, https://openalex.org/W2618570658, https://openalex.org/W2028837311, https://openalex.org/W2155418451, https://openalex.org/W4243801086, https://openalex.org/W1975643501, https://openalex.org/W2030246750, https://openalex.org/W4384831936, https://openalex.org/W2010478496, https://openalex.org/W4230620930, https://openalex.org/W1998782763, https://openalex.org/W2295063700, https://openalex.org/W2138904898, https://openalex.org/W2008934677, https://openalex.org/W2756907874, https://openalex.org/W2507702410, https://openalex.org/W2193255800, https://openalex.org/W2150964916, https://openalex.org/W2332299886, https://openalex.org/W2065704711, https://openalex.org/W3029247755, https://openalex.org/W4386852177, https://openalex.org/W4306292306, https://openalex.org/W3043805668
referenced_works_count	33
abstract_inverted_index.N	42, 64
abstract_inverted_index.a	17, 80
abstract_inverted_index.We	15, 28, 72
abstract_inverted_index.be	52
abstract_inverted_index.by	54
abstract_inverted_index.of	8, 32, 83
abstract_inverted_index.on	12
abstract_inverted_index.we	78
abstract_inverted_index.Our	88
abstract_inverted_index.and	43, 66
abstract_inverted_index.can	51
abstract_inverted_index.for	3, 24, 85
abstract_inverted_index.$ϕ$	70
abstract_inverted_index.Most	0
abstract_inverted_index.find	29
abstract_inverted_index.from	37
abstract_inverted_index.help	91
abstract_inverted_index.into	60
abstract_inverted_index.size	41
abstract_inverted_index.when	63, 69
abstract_inverted_index.will	90
abstract_inverted_index.$ϕ$.	47
abstract_inverted_index.based	11
abstract_inverted_index.model	62
abstract_inverted_index.study	89
abstract_inverted_index.three	30
abstract_inverted_index.types	31
abstract_inverted_index.which	58
abstract_inverted_index.System	48
abstract_inverted_index.derive	73, 79
abstract_inverted_index.design	92
abstract_inverted_index.highly	93
abstract_inverted_index.model,	57
abstract_inverted_index.system	33, 40
abstract_inverted_index.Weibull	56
abstract_inverted_index.between	39
abstract_inverted_index.develop	16
abstract_inverted_index.emerged	36
abstract_inverted_index.failure	44
abstract_inverted_index.network	26
abstract_inverted_index.origins	7
abstract_inverted_index.unified	18
abstract_inverted_index.Gompertz	61
abstract_inverted_index.analysis	2
abstract_inverted_index.coupling	45
abstract_inverted_index.describe	53
abstract_inverted_index.equation	82
abstract_inverted_index.explains	6
abstract_inverted_index.failure.	14
abstract_inverted_index.lifetime	4, 22, 34, 49, 75
abstract_inverted_index.modified	55
abstract_inverted_index.reliable	94
abstract_inverted_index.specific	9
abstract_inverted_index.strength	46
abstract_inverted_index.systems.	27, 87, 95
abstract_inverted_index.different	21
abstract_inverted_index.dominates	65
abstract_inverted_index.framework	19
abstract_inverted_index.Specially,	77
abstract_inverted_index.asymptotic	74
abstract_inverted_index.competence	38
abstract_inverted_index.dominates.	71
abstract_inverted_index.degenerates	59
abstract_inverted_index.exponential	67
abstract_inverted_index.fundamental	81
abstract_inverted_index.independent	13
abstract_inverted_index.theoretical	1
abstract_inverted_index.distribution	5, 10, 23, 50, 68
abstract_inverted_index.encompassing	20
abstract_inverted_index.distribution.	76
abstract_inverted_index.distributions	35
abstract_inverted_index.thermodynamics	84
abstract_inverted_index.failure-coupled	25, 86
cited_by_percentile_year.max	95
cited_by_percentile_year.min	91
corresponding_author_ids	https://openalex.org/A5101700115
countries_distinct_count	1
institutions_distinct_count	6
corresponding_institution_ids	https://openalex.org/I82880672
citation_normalized_percentile.value	0.53614874
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False