New Directions in Algebraic Dynamical SystemsSchmidt, K. & Verbitskiy, E., Feb-2011, In : Regular & chaotic dynamics. 16, 1-2, p. 79-89 11 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||11|
|Journal||Regular & chaotic dynamics|
|Publication status||Published - Feb-2011|
- Dimer matchings, domino tilings, Mahler measure, algebraic dynamics, homoclinic points, SELF-ORGANIZED CRITICALITY, FINITE GRAPH, ENTROPY, LATTICE, DIMERS, MODEL, AUTOMORPHISMS, STATISTICS
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