TY - JOUR
T1 - Solvable and algebraic systems on infinite ladder
AU - Shirai, Tomoyuki
AU - Verbitskiy, Evgeny
N1 - Funding Information:
EV gratefully acknowledges hospitality of the Institute of Mathematics for Industry, and the support of the World Premier International Researcher Invitation Program, Kyushu University. The research of TS was partially supported by JSPS Grant-in-Aid for Scientific Research (B) 26287019 .
Publisher Copyright:
© 2016 Royal Dutch Mathematical Society (KWG)
PY - 2016/12/1
Y1 - 2016/12/1
N2 - We consider two solvable models with equal entropy on the infinite ladder graph Z×{1,2}: the uniform spanning forest (USF), the abelian sandpile (ASM). We show that the symbolic models (abelian sandpile and spanning forest) are equal entropy symbolic covers of a certain algebraic dynamical system. In the past results of this nature have been established for sandpile models on lattices Zd. But we present a first example in case of spanning trees.
AB - We consider two solvable models with equal entropy on the infinite ladder graph Z×{1,2}: the uniform spanning forest (USF), the abelian sandpile (ASM). We show that the symbolic models (abelian sandpile and spanning forest) are equal entropy symbolic covers of a certain algebraic dynamical system. In the past results of this nature have been established for sandpile models on lattices Zd. But we present a first example in case of spanning trees.
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U2 - 10.1016/j.indag.2016.02.003
DO - 10.1016/j.indag.2016.02.003
M3 - Article
AN - SCOPUS:84961282085
SN - 0019-3577
VL - 27
SP - 1162
EP - 1183
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 5
ER -