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 Institut de Physique Théorique, École Polytechnique Fédérale de Lausanne
  • Alan D. Sokal Department of Physics, 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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Como Citar

Van Enter, A. C., Fernández, R., & Sokal, A. D. (2014). Renormalization Transformations: Source of Examples and Problems in Probability and Statistics. 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

Edição

v. 1 n. 2/3 (1994)

Seção

Contents