Bolthausen, E.; Sznitman, A.-S. On Ruelle’s probability cascades and an abstract cavity method. (English) Zbl 0927.60071 Commun. Math. Phys. 197, No. 2, 247-276 (1998). From the authors’ abstract: It is constructed a Markov process which describes a clustering mechanism through which equivalence classes on \(N\) are progressively lumped together. This clustering process gives a new description of Ruelle’s continuous probability cascades. It also enables to introduce an abstract cavity method, which mimicks certain features of the cavity method developed by physicists in the context of the Sherrington-Kirkpatrick model. Reviewer: S.Poghosyan (Erevan) Cited in 6 ReviewsCited in 92 Documents MSC: 60J25 Continuous-time Markov processes on general state spaces 60K10 Applications of renewal theory (reliability, demand theory, etc.) Keywords:clustering process; Ruelle’s probability cascades; cavity method × Cite Format Result Cite Review PDF Full Text: DOI