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Iterations of rational functions and the distribution of the values of the Poincaré functions

✍ Scribed by A. É. Eremenko; M. L. Sodin


Publisher
Springer US
Year
1992
Tongue
English
Weight
363 KB
Volume
58
Category
Article
ISSN
1573-8795

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The Poincaré series of the algebra of ra
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Let ∆ be a finite set of nonzero linear forms in several variables with coefficients in a field K of characteristic zero. Consider the K-algebra R(∆) of rational functions on V which are regular outside α∈∆ ker α. Then the ring R(∆) is naturally doubly filtered by the degrees of denominators and of