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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 1-2, Pages 79–89
DOI: https://doi.org/10.1134/S1560354710520072 (Mi rcd428) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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
Citations (1)
DOI: https://doi.org/10.1134/S1560354710520072
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.
Received: 07.06.2010
Accepted: 15.09.2010
Bibliographic databases:
Document Type: Article
MSC: 37A35, 28D20, 31C05, 60J45, 82B05
Language: English
Citation: Klaus Schmidt, Evgeny Verbitskiy, “New directions in algebraic dynamical systems”, Regul. Chaotic Dyn., 16:1-2 (2011), 79–89
Citation in format AMSBIB
\Bibitem{SchVer11}
\by Klaus Schmidt, Evgeny Verbitskiy
\paper New directions in algebraic dynamical systems
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 1-2
\pages 79--89
\mathnet{http://mi.mathnet.ru/rcd428}
\crossref{https://doi.org/10.1134/S1560354710520072}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2774380}
\zmath{https://zbmath.org/?q=an:1218.37007}
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  • https://www.mathnet.ru/eng/rcd428
  • https://www.mathnet.ru/eng/rcd/v16/i1/p79
    • This publication is cited in the following 1 articles:
    1. Martin Göll, Evgeny Verbitskiy, Lecture Notes in Applied Mathematics and Mechanics, 3, Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity, 2016, 251  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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