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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
New directions in algebraic dynamical systems
Klaus Schmidtab, Evgeny Verbitskiycd a Mathematics Institute, University of Vienna, Nordbergstraße 15, A-1090 Vienna, Austria
b Erwin Schrödinger Institute for Mathematical Physics,
Boltzmanngasse 9, A-1090 Vienna, Austria
c Mathematical Institute, University of Leiden, PO Box 9512, 2300 RA Leiden, The Netherlands
d Johann Bernoulli Institute for Mathematics and Computer Science,
University of Groningen, PO Box 407, 9700 AK, Groningen, The Netherlands
Аннотация:
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.
Ключевые слова:
dimer matchings, domino tilings, Mahler measure, algebraic dynamics, homoclinic points.
Поступила в редакцию: 07.06.2010 Принята в печать: 15.09.2010
Образец цитирования:
Klaus Schmidt, Evgeny Verbitskiy, “New directions in algebraic dynamical systems”, Regul. Chaotic Dyn., 16:1-2 (2011), 79–89
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd428 https://www.mathnet.ru/rus/rcd/v16/i1/p79
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