Fekete's Subadditive Lemma Revisited
L\'aszl\'o Tapolcai Greiner
TL;DR
This paper extends Fekete's Subadditive Lemma to submultiplicative functionals on countable products of compact spaces, connecting ideas from symbolic dynamics and subadditivity.
Contribution
It introduces a novel extension of Fekete's Lemma applicable to a broader class of functionals in symbolic dynamics.
Findings
Extended Fekete's Lemma for submultiplicative functionals
Connected symbolic dynamics results with subadditivity theory
Provided new tools for analyzing countable product spaces
Abstract
We give an extension of the Fekete's Subadditive Lemma for a set of submultiplicative functionals on countable product of compact spaces. Our method can be considered as an unfolding of the ideas [1]Theorem 3.1 and our main result is an extension of the symbolic dynamics results of [4].
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Taxonomy
TopicsMathematical Dynamics and Fractals · advanced mathematical theories · Advanced Topology and Set Theory