کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842414 908532 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The local variational principle of topological pressure for sub-additive potentials
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The local variational principle of topological pressure for sub-additive potentials
چکیده انگلیسی

Let (X,T)(X,T) be a topological dynamical system and F={fn}n=1∞ be a sub-additive potential on C(X,R)C(X,R). Let UU be an open cover of XX. Then for any TT-invariant measure μμ, let F∗(μ)=limn→∞1n∫fndμ. The topological pressure for open covers UU is defined for sub-additive potentials. Then we have a variational principle: P(T,F,U)=supμ{hμ(T,U)+F∗(μ):μ∈M(X,T)} where hμ(T,U)hμ(T,U) denotes the measure-theoretic entropy of μμ relative to UU and the supremum can be attained by a TT-invariant ergodic measure. The main purpose of this paper is to generalize a result of Huang and Yi (2007) [17]. In the paper [17], they proved the local variational principle of pressure for additive potentials.Furthermore, we prove the result P(T,F)=limdiam(U)→0P(T,F;U)P(T,F)=limdiam(U)→0P(T,F;U). Moreover, we obtained P(T,F)=supμ{hμ(T)+F∗(μ):μ∈M(X,T)}, which gives another proof of the topological pressure variational principle for sub-additive potentials from Cao et al. (2008) [14].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 11, 1 December 2010, Pages 3525–3536
نویسندگان
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