On variational principles of metric mean dimension on subset in Feldman-Katok metric
Kunmei Gao, Ruifeng Zhang
TL;DR
This paper investigates the metric mean dimension within the Feldman-Katok metric, introducing FK-specific notions and establishing variational principles to deepen understanding of the metric's properties.
Contribution
It introduces FK-Bowen and FK-Packing metric mean dimensions and proves two variational principles specific to the Feldman-Katok metric.
Findings
Defined FK-Bowen and FK-Packing metric mean dimensions
Established two variational principles for these dimensions
Enhanced understanding of metric mean dimension in Feldman-Katok metric
Abstract
In this paper, we studied the metric mean dimension in Feldman-Katok(FK for short) metric. We introduced the notions of FK-Bowen metric mean dimension and FK-Packing metric mean dimension on subset. And we established two variational principles.
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Taxonomy
TopicsFixed Point Theorems Analysis