2 citations · 4 across the 19 of their papers we have counts for
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Spectrum of weighted Birkhoff average
Balázs Bárány, Michał Rams, Ruxi Shi
Let be a decreasing nonsummable sequence of positive reals. In this paper, we investigate the weighted Birkhoff average …
Zero-dimensional and symbolic extensions of topological flows
David Burguet, Ruxi Shi
A zero-dimensional (resp. symbolic) flow is a suspension flow over a zero-dimensional system (resp. a subshift). We show that any topological flow admits a principal extension by a…
Mean dimension of continuous cellular automata
David Burguet, Ruxi Shi
We investigate the mean dimension of a cellular automaton (CA for short) with a compact non-discrete space of states. A formula for the mean dimension is established for (near) str…
Divergent coindex sequence for dynamical systems
Ruxi Shi, Masaki Tsukamoto
When a finite group freely acts on a topological space, we can define its index and coindex. They roughly measure the size of the given action. We explore the interaction between t…
Finite mean dimesnion and marker property
Ruxi Shi
In this paper, we develop the theory of -index which has been introduced by Tsukamoto, Tsutaya and Yoshinaga. As an application, we show that given any positive numbe…
On variational principles for metric mean dimension
Ruxi Shi
In this note, we show several variational principles for metric mean dimension. First we prove a variational principles in terms of Shapira's entropy related to finite open covers.…