THE K-PROCESS ON A TREE AS A SCALING LIMIT OF THE GREM-LIKE TRAP MODEL

Autor(es)

Fontes, L. R. G. ^[1] ; Gava, R. J. ^[2] ; Gayrard, V. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, IME, BR-05508090 Sao Paulo - Brazil

^[2] Univ Fed Sao Carlos, CCET, BR-13565905 Sao Carlos, SP - Brazil

^[3] Aix Marseille Univ, CNRS, CMI, LAPT, F-13453 Marseille 13 - France

• Tipo de documento: Artigo Científico
• Fonte: ANNALS OF APPLIED PROBABILITY; v. 24, n. 2, p. 857-897, APR 2014.
• Citações Web of Science: 2

Resumo

We introduce trap models on a finite volume k-level tree as a class of Markov jump processes with state space the leaves of that tree. They serve to describe the GREM-like trap model of Sasaki and Nemoto. Under suitable conditions on the parameters of the trap model, we establish its infinite volume limit, given by what we call a K-process in an infinite k-level tree. From this we deduce that the K-process also is the scaling limit of the GREM-like trap model on extreme time scales under a fine tuning assumption on the volumes. (AU)

• Processo FAPESP: 08/00999-0 - Limites de escala de modelos de armadilhas
• Beneficiário: Renato Jacob Gava
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 09/52379-8 - Modelagem estocástica de sistemas interagentes
• Beneficiário: Fabio Prates Machado
• Modalidade de apoio: Auxílio à Pesquisa - Temático