Klaus Schmidt

E-mail: klaus.schmidt@univie.ac.at

University: Mathematics Institute, University of Vienna
Nordbergstraße 15, A-1090 Vienna, Austria

Erwin Schrodinger Institute for Mathematical Physics
Boltzmanngasse 9, A-1090 Vienna, Austria

Publications:

Schmidt K., Verbitskiy E.

New directions in algebraic dynamical systems
2011, vol. 16, nos. 1-2, pp. 79-89

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.

Keywords: dimer matchings, domino tilings, Mahler measure, algebraic dynamics, homoclinic points

Citation: Schmidt K., Verbitskiy E., New directions in algebraic dynamical systems, Regular and Chaotic Dynamics, 2011, vol. 16, nos. 1-2, pp. 79-89

DOI:10.1134/S1560354710520072

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