کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658777 1633117 2013 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Scale function vs topological entropy
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Scale function vs topological entropy
چکیده انگلیسی

In the realm of topological automorphisms of totally disconnected locally compact groups, the scale function introduced by Willis in [19] is compared with the topological entropy. We prove that the logarithm of the scale function is always dominated by the topological entropy and we provide examples showing that this inequality can be strict. Moreover, we give a condition equivalent to the equality between these two invariants. Various properties of the scale function, inspired by those of the topological entropy, are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 18, 1 December 2013, Pages 2314–2334
نویسندگان
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