Entropy, homology and semialgebraic geometry

M. Gromov

Séminaire Bourbaki (1985-1986)

  • Volume: 28, page 225-240
  • ISSN: 0303-1179

How to cite

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Gromov, M.. "Entropy, homology and semialgebraic geometry." Séminaire Bourbaki 28 (1985-1986): 225-240. <http://eudml.org/doc/110064>.

@article{Gromov1985-1986,
author = {Gromov, M.},
journal = {Séminaire Bourbaki},
keywords = {semialgebraic geometry; entropy; volume growth; homology},
language = {eng},
pages = {225-240},
publisher = {Société Mathématique de France},
title = {Entropy, homology and semialgebraic geometry},
url = {http://eudml.org/doc/110064},
volume = {28},
year = {1985-1986},
}

TY - JOUR
AU - Gromov, M.
TI - Entropy, homology and semialgebraic geometry
JO - Séminaire Bourbaki
PY - 1985-1986
PB - Société Mathématique de France
VL - 28
SP - 225
EP - 240
LA - eng
KW - semialgebraic geometry; entropy; volume growth; homology
UR - http://eudml.org/doc/110064
ER -

References

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  1. [1] E.I. Dinaburg, 1971 - On the relation between various entropy characteristics of dynamical systems, Math. U.S.S.R.-Isvestia, 5:2, 337-378. Zbl0248.58007
  2. [2] M. Gromov, 1978 - Homotopical effects of dilitation, J. of Differential Geometry13, 303-310. Zbl0427.58010MR551562
  3. [3] A. Maning, 1975 - Topological entropy and frist homology group, in Dynam. Syst. Warwick. 
  4. [4] M. Misiurewicz, F. Przytycki, 1977 - Topological entropy and degree of smooth mappings, Bull, Ac. Pol. Sci., Ser. Math.25:6, 573-574. Zbl0362.54037MR458501
  5. [5] M. Misiurewicz, F. Przytycki, 1977 - Entropy conjecture for tori, Ibid. , 575-578. Zbl0362.54038MR458502
  6. [6] S. Newhouse, 1985 - Entropy and volume, preprint. MR967642
  7. [7] F. Przytycki, 1980 - An upper estimate for topological entropy of smooth diffeomorphisms, Inv. Math.59:3, 205-213. Zbl0421.58014MR579699
  8. [8] Y. Yomdin, 1986 - Volume growth and entropy, preprint IHES. MR889979
  9. [9] Y. Yomdin, 1986 - Addendum : Ck-resolution of semialgebraic mappings, preprint Univ. of Negev, Beer-Sheva, Israël. 
  10. [10] M. Shub - Dynamical systems filtration and entropy, BAMS, 80:1, 1974, 27-41. Zbl0305.58014MR334284

Citations in EuDML Documents

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  1. Sergiĭ Kolyada, Michał Misiurewicz, L’ubomír Snoha, Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval
  2. David Burguet, Symbolic extensions in intermediate smoothness on surfaces
  3. Jérôme Buzzi, Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles
  4. Krzysztof Kurdyka, Wiesław Pawłucki, Subanalytic version of Whitney's extension theorem
  5. Tien-Cuong Dinh, Nessim Sibony, Regularization of currents and entropy

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