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New directions in algebraic dynamical systems |
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| Authors: | Klaus Schmidt Evgeny Verbitskiy |
| Institution: | 1. Mathematics Institute, University of Vienna, Nordbergstra?e 15, A-1090, Vienna, Austria 3. Erwin Schr?dinger Institute for Mathematical Physics, Boltzmanngasse 9, A-1090, Vienna, Austria 2. Mathematical Institute, University of Leiden, PO Box 9512, 2300 RA, Leiden, The Netherlands 4. Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, PO Box 407, 9700 AK, Groningen, The Netherlands |
| Abstract: | 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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