Weighted mean topological dimension
نویسندگان
چکیده
This paper is devoted to the investigation of weighted mean topological dimension in dynamical systems. We show that not larger than metric dimension, which generalizes classical result Lindenstrauss and Weiss [16] . also establish relationship between entropy systems, indicates each system with finite or small boundary property has zero dimension.
منابع مشابه
Minimal Subshifts of Arbitrary Mean Topological Dimension
Let G be a countable infinite amenable group and P be a polyhedron. We give a construction of minimal subshifts of P with arbitrarily mean topological dimension less than dimP .
متن کاملSome weighted operator geometric mean inequalities
In this paper, using the extended Holder- -McCarthy inequality, several inequalities involving the α-weighted geometric mean (0<α<1) of two positive operators are established. In particular, it is proved that if A,B,X,Y∈B(H) such that A and B are two positive invertible operators, then for all r ≥1, ‖X^* (A⋕_α B)Y‖^r≤‖〖(X〗^* AX)^r ‖^((1-α)/2) ‖〖(Y〗^* AY)^r ‖^((1-α)/2) ‖〖(X〗^* BX)^r ‖^(α/2) ‖〖(Y...
متن کاملDimension-Extended Topological Relationships
analysis. In Proc. 21st Int. Conf. on Machine Learning, 2004. 5. Ding C., He X., Zha H., and Simon H. Unsupervised learning: self-aggregation in scaled principal component space. Principles of Data Mining and Knowledge Discovery, 6th European Conf., 2002, pp. 112–124. 6. Fiedler M. Algebraic connectivity of graphs. Czech. Math. J., 23:298–305, 1973. 7. Hagen M. and Kahng A.B. New spectral metho...
متن کاملEstimation of Topological Dimension
We present two extensions of the algorithm by Broomhead et al [2] which is based on the idea that singular values that scale linearly with the radius of the data ball can be exploited to develop algorithms for computing topological dimension and for detecting whether data models based on manifolds are appropriate. We present a geometric scaling property and dimensionality criterion that permit ...
متن کاملSofic Mean Dimension
We introduce mean dimensions for continuous actions of countable sofic groups on compact metrizable spaces. These generalize the Gromov-LindenstraussWeiss mean dimensions for actions of countable amenable groups, and are useful for distinguishing continuous actions of countable sofic groups with infinite entropy.
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: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2020.124524