Geodesic
A generalisation of Mahler measure and its application in algebraic dynamical systems
Acta Arithmetica, Tome 88 (1999) no. 1, pp. 15-29.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove a generalisation of the entropy formula for certain algebraic $ℤ^d$-actions given in [2] and [4]. This formula expresses the entropy as the logarithm of the Mahler measure of a Laurent polynomial in d variables with integral coefficients. We replace the rational integers by the integers in a number field and examine the entropy of the corresponding dynamical system.
DOI : 10.4064/aa-88-1-15-29

Manfred Einsiedler 1

1 
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Manfred Einsiedler. A generalisation of Mahler measure and its application in algebraic dynamical systems. Acta Arithmetica, Tome 88 (1999) no. 1, pp. 15-29. doi : 10.4064/aa-88-1-15-29. http://geodesic.mathdoc.fr/articles/10.4064/aa-88-1-15-29/

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