Augmenting dimension group invariants for substitution dynamics
نویسندگان
چکیده
منابع مشابه
Augmenting dimension group invariants for substitution dynamics
We present new invariants for substitutional dynamical systems. Our main contribution is a flow invariant which is strictly finer than, but related and akin to, the dimension groups of Herman, Putnam and Skau. We present this group as a stationary inductive limit of a system associated to an integer matrix defined from combinatorial data based on the class of special words of the dynamical system.
متن کاملDynamical invariants for group automorphisms
We discuss some of the issues that arise in attempts to classify automorphisms of compact abelian groups from a dynamical point of view. In the particular case of automorphisms of one-dimensional solenoids, a complete description is given and the problem of determining the range of certain invariants of topological conjugacy is discussed. Several new results and old and new open problems are de...
متن کاملGENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS
Let $(R, m)$ be a commutative noetherian local ring and let $Gamma$ be a finite group. It is proved that if $R$ admits a dualizing module, then the group ring $Rga$ has a dualizing bimodule as well. Moreover, it is shown that a finitely generated $Rga$-module $M$ has generalized Gorenstein dimension zero if and only if it has generalized Gorenstein dimension zero as an $R$-module.
متن کاملSubstitution Dynamics
generate recursively the infinite Prouhet-Thue-Morse word 0110100110010110 and Fibonacci word 01001010010010100101, respectively [1]. What can be said about the entropy (loosely, the amount of disorder) if we introduce some randomness into such definitions? If [2, 3] ⎨⎩ 0→ 1⁄2 01 with probability 12 10 with probability 12 1→ 0 with independence assumed throughout, then the set of possi...
متن کاملMatrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model.
We consider the continuous-time presentation of the strand symmetric phylogenetic substitution model (in which rate parameters are unchanged under nucleotide permutations given by Watson-Crick base conjugation). Algebraic analysis of the model's underlying structure as a matrix group leads to a change of basis where the rate generator matrix is given by a two-part block decomposition. We apply ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2004
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385704000057