New directions in algebraic dynamical systems

被引：0
作者：
Klaus Schmidt
Evgeny Verbitskiy
机构：
[1] University of Vienna,Mathematics Institute
[2] Erwin Schrödinger Institute for Mathematical Physics,Mathematical Institute
[3] University of Leiden,Johann Bernoulli Institute for Mathematics and Computer Science
[4] University of Groningen,undefined
来源：
Regular and Chaotic Dynamics | 2011年 / 16卷
关键词：
Dimer matchings; domino tilings; Mahler measure; algebraic dynamics; homoclinic points; 37A35; 28D20; 31C05; 60J45; 82B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy or the free energy of solvable lattice models (especially dimer models). It is also known that the entropy of an algebraic dynamical system is the logarithmic Mahler measure of the defining polynomial. The connection between the lattice models and the algebraic dynamical systems is still rather mysterious.
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页码：79 / 89
页数：10
相关论文
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