View in EDS PDF Full Text

Limit theorems: some recent results.

Saved in:
Bibliographic Details
Title: Limit theorems: some recent results.
Authors: Colombani, Laetitia1 (AUTHOR) laetitia.colombani.math@gmail.com, Durieu, Olivier2 (AUTHOR) olivier.durieu@univ-tours.fr, Giraudo, Davide3 (AUTHOR) dgiraudo@unistra.fr, Pilipauskaite, Vytaute4 (AUTHOR) vytaute.pilipauskaite@gmail.com, Reding, Lucas5 (AUTHOR) lucas.reding@uphf.fr
Source: ESAIM: Proceedings & Surveys. 2025, Vol. 80, p26-50. 25p.
Subjects: Limit theorems, Computer network traffic, Random fields, U-statistics, Central limit theorem
Abstract (English): The article presents a series of recent results in the field of limit theorems which allow to appreciate the richness of this theme. These results include: the study of the asymptotic behaviour of cumulative processes with applications to Hawkes processes; maximal inequalities and functional central limit theorems for U-statistics; scaling limits for network traffic models that reveal a scaling transition phenomenon; central limit theorems for weakly dependent stationary random fields. [ABSTRACT FROM AUTHOR]
Abstract (French): Cet article présente une série de résultats récents sur le thème des théorèmes limites qui permettent d'apprécier la richesse de la thématique. Les résultats présentés regroupent : l'étude du comportement asymptotique des processus cumulatifs avec des applications aux processus de Hawkes; des inégalités maximales et des théorèmes limites centraux fonctionnels pour des U-statistiques; des limites d'échelles pour des modèles de trafic de réseau révélant un phénomène de transition d'échelle; des théorèmes limites centraux pour des champs aléatoires stationnaires faiblement dépendants. [ABSTRACT FROM AUTHOR]
Copyright of ESAIM: Proceedings & Surveys is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 188594800
AccessLevel: 6
PubType: Conference
PubTypeId: conference
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Limit theorems: some recent results.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Colombani%2C+Laetitia%22">Colombani, Laetitia</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> laetitia.colombani.math@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Durieu%2C+Olivier%22">Durieu, Olivier</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> olivier.durieu@univ-tours.fr</i><br /><searchLink fieldCode="AR" term="%22Giraudo%2C+Davide%22">Giraudo, Davide</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> dgiraudo@unistra.fr</i><br /><searchLink fieldCode="AR" term="%22Pilipauskaite%2C+Vytaute%22">Pilipauskaite, Vytaute</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> vytaute.pilipauskaite@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Reding%2C+Lucas%22">Reding, Lucas</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> lucas.reding@uphf.fr</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22ESAIM%3A+Proceedings+%26+Surveys%22">ESAIM: Proceedings & Surveys</searchLink>. 2025, Vol. 80, p26-50. 25p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Limit+theorems%22">Limit theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+network+traffic%22">Computer network traffic</searchLink><br /><searchLink fieldCode="DE" term="%22Random+fields%22">Random fields</searchLink><br /><searchLink fieldCode="DE" term="%22U-statistics%22">U-statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Central+limit+theorem%22">Central limit theorem</searchLink>
– Name: Abstract
  Label: Abstract (English)
  Group: Ab
  Data: The article presents a series of recent results in the field of limit theorems which allow to appreciate the richness of this theme. These results include: the study of the asymptotic behaviour of cumulative processes with applications to Hawkes processes; maximal inequalities and functional central limit theorems for U-statistics; scaling limits for network traffic models that reveal a scaling transition phenomenon; central limit theorems for weakly dependent stationary random fields. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (French)
  Group: Ab
  Data: Cet article présente une série de résultats récents sur le thème des théorèmes limites qui permettent d'apprécier la richesse de la thématique. Les résultats présentés regroupent : l'étude du comportement asymptotique des processus cumulatifs avec des applications aux processus de Hawkes; des inégalités maximales et des théorèmes limites centraux fonctionnels pour des U-statistiques; des limites d'échelles pour des modèles de trafic de réseau révélant un phénomène de transition d'échelle; des théorèmes limites centraux pour des champs aléatoires stationnaires faiblement dépendants. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of ESAIM: Proceedings & Surveys is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=188594800
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1051/proc/202580026
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 25
        StartPage: 26
    Subjects:
      – SubjectFull: Limit theorems
        Type: general
      – SubjectFull: Computer network traffic
        Type: general
      – SubjectFull: Random fields
        Type: general
      – SubjectFull: U-statistics
        Type: general
      – SubjectFull: Central limit theorem
        Type: general
    Titles:
      – TitleFull: Limit theorems: some recent results.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Colombani, Laetitia
      – PersonEntity:
          Name:
            NameFull: Durieu, Olivier
      – PersonEntity:
          Name:
            NameFull: Giraudo, Davide
      – PersonEntity:
          Name:
            NameFull: Pilipauskaite, Vytaute
      – PersonEntity:
          Name:
            NameFull: Reding, Lucas
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 09
              Text: 2025
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 22673059
          Numbering:
            – Type: volume
              Value: 80
          Titles:
            – TitleFull: ESAIM: Proceedings & Surveys
              Type: main
ResultId 1