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Contact process under renewals I

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Publication:2274286
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DOI10.1016/j.spa.2018.08.007zbMath1422.60157arXiv1803.01458OpenAlexW4210759910MaRDI QIDQ2274286

Domingos H. U. Marchetti, Thomas S. Mountford, Maria Eulália Vares, Luiz Renato G. Fontes

Publication date: 19 September 2019

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01458


zbMATH Keywords

percolationrenewal processcontact process


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Renewal theory (60K05)


Related Items

Renewal contact processes: phase transition and survival ⋮ Contact process under renewals. II ⋮ Contact process under heavy-tailed renewals on finite graphs ⋮ Local large deviations and the strong renewal theorem ⋮ Results on the contact process with dynamic edges or under renewals



Cites Work

  • Contact processes on random graphs with power law degree distributions have critical value 0
  • Contact interactions on a lattice
  • Contact process under renewals. II
  • Local large deviations and the strong renewal theorem
  • Strong renewal theorems with infinite mean beyond local large deviations
  • Random walks. I
  • Strong Renewal Theorems with Infinite Mean
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