Mean-value theorems and ergodicity of certain geodesic random walks

Toshikazu Sunada

Compositio Mathematica (1983)

  • Volume: 48, Issue: 1, page 129-137
  • ISSN: 0010-437X

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Sunada, Toshikazu. "Mean-value theorems and ergodicity of certain geodesic random walks." Compositio Mathematica 48.1 (1983): 129-137. <http://eudml.org/doc/89584>.

@article{Sunada1983,
author = {Sunada, Toshikazu},
journal = {Compositio Mathematica},
keywords = {spherical mean operator; Markov process of geodesic random walks; ergodicity},
language = {eng},
number = {1},
pages = {129-137},
publisher = {Martinus Nijhoff Publishers},
title = {Mean-value theorems and ergodicity of certain geodesic random walks},
url = {http://eudml.org/doc/89584},
volume = {48},
year = {1983},
}

TY - JOUR
AU - Sunada, Toshikazu
TI - Mean-value theorems and ergodicity of certain geodesic random walks
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 48
IS - 1
SP - 129
EP - 137
LA - eng
KW - spherical mean operator; Markov process of geodesic random walks; ergodicity
UR - http://eudml.org/doc/89584
ER -

References

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  1. [1] A.L. Besse: Manifolds all of whose Geodesics are Closed, Springer-Verlag, New York, 1978. Zbl0387.53010MR496885
  2. [2] J. Cheeger and D. Ebin: Comparison Theorems in Riemannian Geometry, North Holland, Amsterdam, 1975. Zbl0309.53035MR458335
  3. [3] A. Gray and T.J. Willmore: Mean-value theorems for Riemannian manifolds, preprint. Zbl0495.53040MR677493
  4. [4] P. Günther: Sphärische Mittelwerte in kompakten harmonischen Riemannschen Mannigfaltigkeiten, Math. Ann.165 (1966), 281-296. Zbl0144.20801MR200874
  5. [5] E. Jorgensen: The central limit problem for geodesic random walks, Z. Wahrsch. Verw. Gebiete32 (1975), 1-64. Zbl0292.60103MR400422
  6. [6] B. Malgrange: Ideals of Differential Functions, Tata InstituteBombay1966. Zbl0177.17902MR212575
  7. [7] M. Pinsky: Moyenne stochastique sur une variété riemannienne, C. R. Acad. Sc. Paris292 (1981), 991-994. Zbl0518.53046MR630934
  8. [8] T. Sunada: Spherical means and geodesic chains on a Riemannian manifold, Trans. Amer. Math. Soc.267 (1981), 483-501. Zbl0514.58037MR626485
  9. [9] T. Sunada: Geodesic chains on a Riemannian manifold, Proc. Colloq. Global Differential Geometry/Global Analysis, Lecture Notes in Math.838, Springer, New York, 1981. Zbl0437.53026MR636286
  10. [10] T. Tsujishita: Integral transformations associated with double fiberings, Osaka J. Math.15 (1978), 391-418. Zbl0399.58016MR517102
  11. [11] K. Yosida: Functional Analysis, Springer-Verlag, New York, 1980. Zbl0435.46002MR617913

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