Set-theoretical entropies of Euler's totient function and other number theoretical special functions

FAZ Shirazi, R Yaghmaeian - arXiv preprint arXiv:1805.07967, 2018 - arxiv.org
In the following text we show set--theoretical entropy of Euler's totient function and
contravariant set--theoretical entropy of Dedekind psi function are zero. Also contravariant …

Set-theoretical entropies of Euler's totient function and other number theoretical special functions

F Ayatollah Zadeh Shirazi, R Yaghmaeian - arXiv e-prints, 2018 - ui.adsabs.harvard.edu
In the following text we show set--theoretical entropy of Euler's totient function and
contravariant set--theoretical entropy of Dedekind psi function are zero. Also contravariant …

A surprising example for topological entropy of set-valued functions

G Erceg, J Kennedy - International Conference on Topology and its …, 2018 - croris.hr
Sažetak We generalize the definition of topological entropy due to Adler, Konheim, and
McAndrew to set-valued functions (usc functions) from a closed subset of the interval to …

Topological entropy for set-valued functions

G Erceg, J Kennedy - 6th Croatian mathematical congress, 2016 - croris.hr
Sažetak We generalize the definition of topological entropy due to Adler, Konheim, and
McAndrew to set-valued functions from a closed subset of the interval to closed subsets of …

Topological entropy for closed subsets of the unit square

G Erceg, J Kennedy - 25 years of Topology seminar in Split: Scientific …, 2018 - croris.hr
Sažetak We generalize the de finition of topological entropy due to Adler, Konheim, and
McAndrew to set-valued functions from a closed subset of the interval to closed subsets of …

[PDF][PDF] The Bowen's topological entropy of the Cartesian product sets

X Zhou, E Chen - arXiv preprint arXiv:1303.3690, 2013 - arxiv.org
arXiv:1303.3690v2 [math.DS] 7 May 2013 The Bowen’s topological entropy of the Cartesian
product sets Page 1 arXiv:1303.3690v2 [math.DS] 7 May 2013 The Bowen’s topological entropy …

Set-theoretical entropies of generalized shifts

ZN Ahmadabadi, FAZ Shirazi - arXiv preprint arXiv:1709.01579, 2017 - arxiv.org
In the following text for arbitrary $ X $ with at least two elements, nonempty set $\Gamma $
and self-map $\varphi:\Gamma\to\Gamma $ we prove the set-theoretical entropy of …

Heun functions and combinatorial identities

A Barar, GR Mocanu, I Rasa - arXiv preprint arXiv:1801.05054, 2018 - arxiv.org
arXiv:1801.05054v1 [math.CA] 8 Jan 2018 Page 1 arXiv:1801.05054v1 [math.CA] 8 Jan 2018
Heun functions and combinatorial identities Adina Barar∗, Gabriela Raluca Mocanu†, Ioan …

Variational principle for neutralized Bowen topological entropy

R Yang, E Chen, X Zhou - Qualitative Theory of Dynamical Systems, 2024 - Springer
Abstract Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as B n (x, en
ϵ)={y∈ X: d (T jx, T jy)< en ϵ,∀ 0≤ j≤ n-1}. We introduce the notion of neutralized Bowen …

Mahavier product and topological entropy

G Erceg, J Kennedy - Dubrovnik VIII-Geometric Topology, Geometric Group …, 2015 - croris.hr
Sažetak We introduce new definition of topological entropy, which is given in terms of a new
tool, the Mahavier product which was introduced by Judy Kennedy and Sina Greenwood …