Morphic heights and periodic points

Details Morphic heights and periodic points Morphic heights and periodic points

2002-04-13

arxiv.org/abs/math/0204179v1

New York Number Theory Seminar 2003, D. Chudnovsky, G. Chudnovsky, M. Nathanson (eds). Springer-Verlag 2004

Mathematics

Number Theory

Scientific paper

An approach to the calculation of local canonical morphic heights is described, motivated by the analogy between the classical height in Diophantine geometry and entropy in algebraic dynamics. We consider cases where the local morphic height is expressed as an integral average of the logarithmic distance to the closure of the periodic points of the underlying morphism. The results may be thought of as a kind of morphic Jensen formula.

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