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Average under the Iwasawa transformation
Author(s):
Ming
Liao;
Longmin
Wang
Journal:
Proc. Amer. Math. Soc.
135
(2007),
895-901.
MSC (2000):
Primary 22E46;
Secondary 43A80
Posted:
August 28, 2006
MathSciNet review:
2262888
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Abstract:
We derive an averaging property under the Iwasawa decomposition on a semisimple Lie group of noncompact type based on a limiting property of random walks in the Lie group.
References:
-
- 1.
- Y. Guivarc'h et A. Raugi, Frontière de Furstenberg, propriétés de contraction et théorèmes de convergence, Z. Wahrsch. verw. Gebiete 69 (1985), 187-242. MR 0779457 (86h:60126)
- 2.
- S. Helgason, Differential geometry, Lie groups, and symmetric spaces, Academic Press, 1978. MR 0514561 (80k:53081)
- 3.
- B. Kostant, On convexity, the Weyl group and the Iwasawa decomposition, Ann. Sci. École Norm. Sup. 6 (1973), 413-455. MR 0364552 (51:806)
- 4.
- M. Liao, Lévy processes in Lie groups, Cambridge Univ. Press, 2004. MR 2060091 (2005e:60004)
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Additional Information:
Ming
Liao
Affiliation:
Department of Mathematics, Auburn University, Auburn, Alabama 36849
Email:
liaomin@auburn.edu
Longmin
Wang
Affiliation:
Department of Mathematics, Nankai University, Tianjin, People's Republic of China
Email:
wanglm@nankai.edu.cn
DOI:
10.1090/S0002-9939-06-08508-X
PII:
S 0002-9939(06)08508-X
Keywords:
Iwasawa decomposition
Received by editor(s):
April 6, 2005
Received by editor(s) in revised form:
September 27, 2005
Posted:
August 28, 2006
Additional Notes:
This paper was completed during the first author's visit to Nankai University and was supported by Nankai University.
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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