منابع مشابه
Expansive Subdynamics for Algebraic Actions 21
A general framework for investigating topological actions of Z d on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower dimensional subspaces of R d. Here we completely describe this expansive behavior for the class of algebraic Z d-actions given by commuting automorphisms of compact abelian groups. The description uses the logarithmic image of an alg...
متن کاملExpansive Subdynamics for Algebraic Z -actions
A general framework for investigating topological actions of Zd on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower-dimensional subspaces ofRd . Here we completely describe this expansive behavior for the class of algebraic Zd -actions given by commuting automorphisms of compact abelian groups. The description uses the logarithmic image of an algeb...
متن کاملEXPANSIVE SUBDYNAMICS FOR ALGEBRAIC Z d-ACTIONS
A general framework for investigating topological actions of Z d on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower-dimensional subspaces of R d. Here we completely describe this expansive behavior for the class of algebraic Z d-actions given by commuting automorphisms of compact abelian groups. The description uses the logarithmic image of an alg...
متن کاملProjective subdynamics and universal shifts
We study the projective subdynamics of two-dimensional shifts of finite type, which is the set of one-dimensional configurations that appear as columns in them. We prove that a large class of one-dimensional shifts can be obtained as such, namely the effective subshifts which contain positive-entropy sofic subshifts. The proof involves some simple notions of simulation that may be of interest f...
متن کاملSubdynamics as a mechanism for objective description
The relationship between microsystems and macrosystems is considered in the context of quantum field formulation of statistical mechanics: it is argued that problems on foundations of quantum mechanics can be solved relying on this relationship. This discussion requires some improvement of non-equilibrium statistical mechanics that is briefly presented. 1 Evolution of the atomistic idea: the ne...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1997
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-97-01634-6