Multiplicity of holomorphic functions |
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Authors: | Charles Favre |
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Affiliation: | (1) Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden (e-mail: favre@math.kth.se) , SE |
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Abstract: | The main result of this paper concerns an analytic version of Birkhoff's ergodic theorem. It allows us to define asymptotic multiplicities given any algebraically stable rational map . This is the key for our study of the singularities of the Green current T associated to f. We characterize the points where the Lelong number of T is strictly positive. Received: 30 July 1999 |
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Keywords: | Mathematics Subject Classification (1991): 32H50 |
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