Morphic heights and periodic points

M. Einsiedler; G. Everest; T. Ward

Morphic heights and periodic points

M. Einsiedler, G. Everest, T. Ward

School of Mathematics

Research output: Contribution to conference › Paper › peer-review

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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.

Original language	English
Pages	167-177
Number of pages	11
Publication status	Published - 2004
Event	New York Number Theory Seminar - Duration: 1 Jan 2004 → …

Conference

Conference	New York Number Theory Seminar
Period	1/01/04 → …

Access to Document

nynts.pdfAccepted author manuscript, 195 KB

http://www.zentralblatt-math.org/zmath/en/search/?an=1048.11091

Cite this

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title = "Morphic heights and periodic points",

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.",

author = "M. Einsiedler and G. Everest and T. Ward",

year = "2004",

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note = "New York Number Theory Seminar ; Conference date: 01-01-2004",

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AU - Einsiedler, M.

AU - Everest, G.

AU - Ward, T.

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N2 - 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.

AB - 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.

M3 - Paper

SP - 167

EP - 177

T2 - New York Number Theory Seminar

Y2 - 1 January 2004

ER -