Morphic heights and periodic points

Einsiedler, M.; Everest, G.; Ward, T.

Abstract

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.

Citation

Einsiedler, M., Everest, G., & Ward, T. (2004). Morphic heights and periodic points. In D. Chudnovsky, G. Chudnovsky, & M. Nathanson (Eds.), Number theory : New York seminar 2003 (167-177). Springer Verlag

• Publication Date: 2004
• Deposit Date: Oct 12, 2012
• Publicly Available Date: Oct 16, 2012
• Publisher: Springer Verlag
• Pages: 167-177
• Book Title: Number theory : New York seminar 2003.
• Chapter Number: 9
• ISBN: 03874065571
• Public URL: https://durham-repository.worktribe.com/output/1684076
• Publisher URL: http://www.amazon.com/Number-Theory-York-Seminar-2003/dp/0387406557