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Construction of non-Gaussian self-similar random fields with hierarchical structure

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Publication:1051984
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DOI10.1007/BF01209635zbMath0515.60058MaRDI QIDQ1051984

Pavel M. Bleher

Publication date: 1982

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

self-similar random fieldsconvergence of renormalization transformationshierarchical models theoryuniqueness of a Gibbs state


Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)


Related Items (7)

Unnamed Item ⋮ Limit Gibbs distributions for the Ising model on hierarchical lattices ⋮ p-adic Feynman and string amplitudes ⋮ Unnamed Item ⋮ Hierarchical model of a vector ferromagnet. Selfsimilar block-spin distributions and the Lee-Yang theorem ⋮ Renormalization of Dyson's hierarchical vector valued \(\Phi ^ 4\) model at low temperatures ⋮ A hierarchical model of quantum anharmonic oscillators: critical point convergence



Cites Work

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