Quasi-graphs, zero entropy and measures with discrete spectrum
نویسندگان
چکیده
In this paper, we study dynamics of maps on quasi-graphs characterizing their invariant measures. particular, prove that every measure quasi-graph map with zero topological entropy has discrete spectrum. Additionally, obtain an analog Llibre-Misiurewicz's result relating positive existence horseshoes. We also dendrites and show if a continuous dendrite, whose set all endpoints is closed only finitely many accumulation points, entropy, then supported orbit closure
منابع مشابه
On quasi-zero divisor graphs of non-commutative rings
Let $R$ be an associative ring with identity. A ring $R$ is called reversible if $ab=0$, then $ba=0$ for $a,bin R$. The quasi-zero-divisor graph of $R$, denoted by $Gamma^*(R)$ is an undirected graph with all nonzero zero-divisors of $R$ as vertex set and two distinct vertices $x$ and $y$ are adjacent if and only if there exists $0neq rin R setminus (mathrm{ann}(x) cup mathrm{ann}(y))$ such tha...
متن کاملQuantum Dynamical Systems with Quasi–Discrete Spectrum
We study totally ergodic quantum dynamical systems with quasi–discrete spectrum. We investigate the classification problem for such systems in terms of algebraic invariants. The results are noncommutative analogs of (a part of) the theory of Abramov. Supported in part by the National Science Foundation under grant DMS–9801612
متن کاملQuasi-factors of Zero-entropy Systems
For minimal systems (X, T) of zero topological entropy we demon-strate the sharp difference between the behavior, regarding entropy, of the sys-tems (M(X) , T) and (2x , T) induced by T on the spaces M(X) of prob-ability measures on X and 2x of closed subsets of X. It is shown that thesystem (M(X) , T) has itself zero topological entropy. Two proofs of this the-orem are give...
متن کاملEntropy of Discrete Fuzzy Measures
The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal [10] in the aggregation framework, and a second one by Yager [25] in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an o...
متن کاملOn zero-divisor graphs of quotient rings and complemented zero-divisor graphs
For an arbitrary ring $R$, the zero-divisor graph of $R$, denoted by $Gamma (R)$, is an undirected simple graph that its vertices are all nonzero zero-divisors of $R$ in which any two vertices $x$ and $y$ are adjacent if and only if either $xy=0$ or $yx=0$. It is well-known that for any commutative ring $R$, $Gamma (R) cong Gamma (T(R))$ where $T(R)$ is the (total) quotient ring of $R$. In this...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 2022
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/ac4b3a