Renormalization Transformations: source of Examples and Problems in Probability and Statistics

Autores

  • Aernout C.D. Van Enter Institute for Theoretical Physics, Kijksuniversiteit Groningen
  • Roberto Fernández École Polytechnique Fédérale de Lausanne. Institut de Physique Théorique
  • Alan D. Sokal New York University

DOI:

https://doi.org/10.11606/resimeusp.v1i2/3.74578

Palavras-chave:

Gibbs measure, non-Gibbsian measure, Quasilocality, Renormalization transformations.

Resumo

Renormalization transformations were introduced in statistical mechanics to study critical points. Their natural set-up, however, is within probability theory: they are maps between probability spaces, defined by suit.able probability kernels. We review several interesting questions motivated by applications in physics as well as in other areas like image processing and speech recognition.

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Publicado

1994-05-01

Edição

v. 1 n. 2/3 (1994)

Seção

Contents

Licença

Copyright (c) 1994 Aernout C.D. Van Enter, Roberto Fernández, Alan D. Sokal

Creative Commons License

Este trabalho está licenciado sob uma licença Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Como Citar

Renormalization Transformations: source of Examples and Problems in Probability and Statistics. (1994). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 1(2/3), 233-262. https://doi.org/10.11606/resimeusp.v1i2/3.74578