On the Rényi dimension

Miroslav Katětov

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 4, page 741-753
  • ISSN: 0010-2628

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Katětov, Miroslav. "On the Rényi dimension." Commentationes Mathematicae Universitatis Carolinae 027.4 (1986): 741-753. <http://eudml.org/doc/17500>.

@article{Katětov1986,
author = {Katětov, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semimetrized measure space; Rényi weight; probability spaces; measurable semimetric; dimension of a vector-valued random variable},
language = {eng},
number = {4},
pages = {741-753},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the Rényi dimension},
url = {http://eudml.org/doc/17500},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Katětov, Miroslav
TI - On the Rényi dimension
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 4
SP - 741
EP - 753
LA - eng
KW - semimetrized measure space; Rényi weight; probability spaces; measurable semimetric; dimension of a vector-valued random variable
UR - http://eudml.org/doc/17500
ER -

References

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  1. J. BALATONI A. RÉNYI, On the notion of entropy, (Hungarian), Publ. Math. Inst. Hungarian Acad. Sci. 1 (1956), 9-40. - English translation: Selected papers of Alfred Rényi, vol. I, pp. 558-584, Akademiat Kiado, Budapest, 1976. (1956) 
  2. M. KATĚTOV, Extended Shannon entropies I, Czechosl. Math. J. 33 (108) (1983), 564-601. (1983) MR0721088
  3. M. KATĚTOV, On extended Shannon entropies and the epsilon entropy, Comment. Math. Univ. Carolinae 27 (1986), 519-534. (1986) MR0873625
  4. A. RÉNYI, On the dimension and entropy of probability distributions, Acta Math. Acad. Sci. Hung. 10 (1959), 193-215. (1959) MR0107575
  5. A. RÉNYI, Dimension, entropy and information, Trans. 2nd Prague Conf. Information Theory, pp. 545-556. Prague, 1960. (1960) MR0129049
  6. A. RÉNYI J. BALATONI, Über den Begriff der Entropie, Arbeiten zur Informationstheorie, pp. 117-134. Deutscher Verlag der Wissenschaften, Berlin, 1957. (1957) 

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