Publication

New Directions in Algebraic Dynamical Systems

Schmidt, K. & Verbitskiy, E., Feb-2011, In : Regular & chaotic dynamics. 16, 1-2, p. 79-89 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Schmidt, K., & Verbitskiy, E. (2011). New Directions in Algebraic Dynamical Systems. Regular & chaotic dynamics, 16(1-2), 79-89. https://doi.org/10.1134/S1560354710520072

Author

Schmidt, Klaus ; Verbitskiy, Evgeny. / New Directions in Algebraic Dynamical Systems. In: Regular & chaotic dynamics. 2011 ; Vol. 16, No. 1-2. pp. 79-89.

Harvard

Schmidt, K & Verbitskiy, E 2011, 'New Directions in Algebraic Dynamical Systems', Regular & chaotic dynamics, vol. 16, no. 1-2, pp. 79-89. https://doi.org/10.1134/S1560354710520072

Standard

New Directions in Algebraic Dynamical Systems. / Schmidt, Klaus; Verbitskiy, Evgeny.

In: Regular & chaotic dynamics, Vol. 16, No. 1-2, 02.2011, p. 79-89.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Schmidt K, Verbitskiy E. New Directions in Algebraic Dynamical Systems. Regular & chaotic dynamics. 2011 Feb;16(1-2):79-89. https://doi.org/10.1134/S1560354710520072


BibTeX

@article{2622e225c17341b2a5a446e19d362aef,
title = "New Directions in Algebraic Dynamical Systems",
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, SELF-ORGANIZED CRITICALITY, FINITE GRAPH, ENTROPY, LATTICE, DIMERS, MODEL, AUTOMORPHISMS, STATISTICS",
author = "Klaus Schmidt and Evgeny Verbitskiy",
note = "Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",
year = "2011",
month = "2",
doi = "10.1134/S1560354710520072",
language = "English",
volume = "16",
pages = "79--89",
journal = "Regular & chaotic dynamics",
issn = "1560-3547",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "1-2",

}

RIS

TY - JOUR

T1 - New Directions in Algebraic Dynamical Systems

AU - Schmidt, Klaus

AU - Verbitskiy, Evgeny

N1 - Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2011/2

Y1 - 2011/2

N2 - 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.

AB - 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.

KW - Dimer matchings

KW - domino tilings

KW - Mahler measure

KW - algebraic dynamics

KW - homoclinic points

KW - SELF-ORGANIZED CRITICALITY

KW - FINITE GRAPH

KW - ENTROPY

KW - LATTICE

KW - DIMERS

KW - MODEL

KW - AUTOMORPHISMS

KW - STATISTICS

U2 - 10.1134/S1560354710520072

DO - 10.1134/S1560354710520072

M3 - Article

VL - 16

SP - 79

EP - 89

JO - Regular & chaotic dynamics

JF - Regular & chaotic dynamics

SN - 1560-3547

IS - 1-2

ER -

ID: 2520713