Integral representation of measures associated with a foliation

David Ruelle

Publications Mathématiques de l'IHÉS (1978)

  • Volume: 48, page 127-132
  • ISSN: 0073-8301

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Ruelle, David. "Integral representation of measures associated with a foliation." Publications Mathématiques de l'IHÉS 48 (1978): 127-132. <http://eudml.org/doc/103952>.

@article{Ruelle1978,
author = {Ruelle, David},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {Integral Representation of Measures; Foliation; Foliation of Codimension K; Transverse Measure},
language = {eng},
pages = {127-132},
publisher = {Institut des Hautes Études Scientifiques},
title = {Integral representation of measures associated with a foliation},
url = {http://eudml.org/doc/103952},
volume = {48},
year = {1978},
}

TY - JOUR
AU - Ruelle, David
TI - Integral representation of measures associated with a foliation
JO - Publications Mathématiques de l'IHÉS
PY - 1978
PB - Institut des Hautes Études Scientifiques
VL - 48
SP - 127
EP - 132
LA - eng
KW - Integral Representation of Measures; Foliation; Foliation of Codimension K; Transverse Measure
UR - http://eudml.org/doc/103952
ER -

References

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  1. [1] R. BOWEN, Anosov foliations are hyperfinite. Preprint. Zbl0374.58008
  2. [2] R. BOWEN and B. MARCUS, Unique ergodicity for horocycle foliation. Preprint. Zbl0346.58009
  3. [3] D. CAPOCACCIA, A definition of Gibbs state for a compact set with Zv action, Commun. Math. Phys., 48 (1976), 85-88. MR54 #3755
  4. [4] G. CHOQUET et P.-A. MEYER, Existence et unicité des représentations intégrales dans les convexes compacts quelconques, Ann. Inst. Fourier, 13 (1963), 139-154. Zbl0122.34602MR26 #6748
  5. [5] A. CONNES. Unpublished. 
  6. [6] R. EDWARDS, K. MILLETT and D. SULLIVAN, Foliations with all leaves compact, Topology, 16 (1977), 13-32. Zbl0356.57022MR55 #11268
  7. [7] L. GARNETT, An ergodic theory for foliations. Preprint. Zbl0524.58026
  8. [8] J. PLANTE, Foliations with measure preserving holonomy, Ann. Math., 102 (1975), 327-362. Zbl0314.57018MR52 #11947
  9. [9] D. RUELLE, Thermodynamic formalism, Addison-Wesley, Reading, Mass., 1978. Zbl0401.28016MR80g:82017
  10. [10] D. RUELLE and D. SULLIVAN, Currents, flows and diffeomorphisms, Topology, 14 (1975), 319-327. Zbl0321.58019MR54 #3759
  11. [11] S. SCHWARTZMANN, Asymptotic cycles, Ann. Math., 66 (1957), 270-284. Zbl0207.22603MR19,568i
  12. [12] M. SHUB, Endomorphisms of compact differentiable manifolds, Amer. J. Math., 91 (1969), 175-199. Zbl0201.56305MR39 #2169
  13. [13] Ia. G. SINAI, Gibbsian measures in ergodic theory, Uspehi Mat. Nauk, 27, n° 4 (1972), 21-64. English translation, Russian Math. Surveys, 27, n° 4 (1972), 21-69. Zbl0255.28016
  14. [14] D. SULLIVAN, Cycles for the dynamical study of foliated manifolds and complex manifolds, Inventiones math., 36 (1976), 225-255. Zbl0335.57015MR55 #6440
  15. [15] D. SULLIVAN and R. F. WILLIAMS, On the homology of attractors, Topology, 15 (1976), 259-262. Zbl0332.58011MR54 #1304

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