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Asymptotic behaviour
of eigenfunctions on semi-homogeneous tree
P. Gérardin and K.F. Lai |
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Vol. 196 (2000), No. 2, 415–427
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Abstract |
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A function on a tree is said to be harmonic if it is fixed under the averaging operators. We construct an explicit asymptotic formula giving the boundary distribution which reproduces the value of a harmonic function on a semi-homogeneous the tree. |
Milestones
Received: 10 February 1999
Revised: 1 November 1999
Published: 1 December 2000
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Authors |
| P. Gérardin | |
| C.N.R.S. Université Paris VII 2, place Jussieu F-75251 Paris Cedex 5 France |
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| K.F. Lai | |
| School of Mathematics and
Statistics University of Sydney N.S.W. 2006 Australia |
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