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

Authors

  • 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

Keywords:

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

Abstract

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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Published

1994-05-01

Issue

Vol. 1 No. 2/3 (1994)

Section

Contents

License

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

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

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