Published January 1, 2015 | Version v1
Publication Open

Subcritical contact process seen from the edge: convergence to quasi-equilibrium

Creators

  • 1. Institut de Mathématiques de Marseille
  • 2. University of Buenos Aires

Description

The subcritical contact process seen from the rightmost infected site has no invariant measures. We prove that nevertheless it converges in distribution to a quasi-stationary measure supported on finite configurations.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

لا تحتوي عملية التلامس دون الحرجة التي يتم رؤيتها من الموقع المصاب في أقصى اليمين على تدابير ثابتة. نثبت أنه مع ذلك يتقارب في التوزيع إلى تدبير شبه ثابت مدعوم على تكوينات محدودة.

Translated Description (French)

Le processus de contact sous-critique vu du site infecté le plus à droite n'a pas de mesures invariantes. Nous prouvons qu'elle converge néanmoins en distribution vers une mesure quasi-stationnaire supportée sur des configurations finies.

Translated Description (Spanish)

El proceso de contacto subcrítico visto desde el sitio infectado más a la derecha no tiene medidas invariantes. Demostramos que, sin embargo, converge en distribución a una medida cuasi estacionaria apoyada en configuraciones finitas.

Files

EJP.v20-3881.pdf.pdf

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Additional details

Additional titles

Translated title (Arabic)
عملية التلامس دون الحرجة من الحافة: التقارب إلى شبه التوازن
Translated title (French)
Processus de contact sous-critique vu du bord : convergence vers le quasi-équilibre
Translated title (Spanish)
Proceso de contacto subcrítico visto desde el borde: convergencia a cuasiequilibrio

Identifiers

Other
https://openalex.org/W2100124946
DOI
10.1214/ejp.v20-3881

Is supplement to
https://openalex.org/W4234000492 (Other)
https://openalex.org/W4230672683 (Other)
https://openalex.org/W4225298544 (Other)
https://openalex.org/W3097746863 (Other)
https://openalex.org/W2949617025 (Other)
https://openalex.org/W2496965161 (Other)
https://openalex.org/W2060079671 (Other)
https://openalex.org/W2006692585 (Other)
https://openalex.org/W1995770962 (Other)
https://openalex.org/W1485436536 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Argentina

References

  • https://openalex.org/W1967121312
  • https://openalex.org/W2001447203
  • https://openalex.org/W2003654958
  • https://openalex.org/W2018430169
  • https://openalex.org/W2020380316
  • https://openalex.org/W2027669593
  • https://openalex.org/W2036047586
  • https://openalex.org/W2060079671
  • https://openalex.org/W2060183513
  • https://openalex.org/W2071838652
  • https://openalex.org/W2134286110
  • https://openalex.org/W3105570868
  • https://openalex.org/W4248521428
  • https://openalex.org/W4299298104