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Morphic heights and periodic points.

Einsiedler, M. and Everest, G. and Ward, T. (2004) 'Morphic heights and periodic points.', in Number theory : New York seminar 2003. New York: Springer, pp. 167-177.


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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Record Created:12 Oct 2012 12:20
Last Modified:06 Dec 2014 13:01

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