The scaling limits of a heavy tailed Markov renewal process

DOI10.1214/11-AIHP456zbMath1271.60095arXiv1106.4452MaRDI QIDQ1951507

Julien Sohier

Publication date: 6 June 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4452

zbMATH Keywords

scaling limitrandom walkfluctuation theoryregenerative setHeavy tailed Markov renewal process

Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15) Critical phenomena in equilibrium statistical mechanics (82B27) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Renewal theory (60K05)

Related Items (4)

The scaling limits of a heavy tailed Markov renewal process ⋮ A shape theorem for the scaling limit of the IPDSAW at criticality ⋮ Scaling limit of wetting models in \(1+1\) dimensions pinned to a shrinking strip ⋮ The scaling limits of the non critical strip wetting model

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