4 citations · 15 across the 8 of their papers we have counts for
8 papers
Dimensional entropy of amenable group actions over stable sets and fibres
Xinyao He, Guohua Zhang
This paper is devoted to the study of Bowen's dimensional entropy on subsets for actions of amenable groups. We prove three main results. (1) First, topological conditional entropy…
Metric mean dimension of amenable group actions: localization and non-uniformity
Xinyao He, Guohua Zhang, Ruifeng Zhang
In this paper, we extend Tsukamoto's recent localization formula for metric mean dimension to actions of countable discrete amenable groups, which previously applied only to $\math…
A note on the maximal out-degree of Galton-Watson trees
Xin He
In this note we consider both the local maximal out-degree and the global maximal out-degree of Galton-Watson trees. In particular, we show that the tail of any local maximal out-d…
Local convergence of critical random trees and continuous-state branching processes
Xin He
We study the local convergence of critical Galton-Watson trees and Levy trees under various conditionings. Assuming a very general monotonicity property on the functional of random…
The maximal jump and local convergence of continuous-state branching processes
Xin He, Zenghu Li
We study the distribution of the maximal jump of continuous-state branching processes. Several exact expressions and explicit asymptotics of both the local maximal jump and the glo…
Conditioning Galton-Watson trees on large maximal out-degree
Xin He
We propose a new way to condition random trees, that is, condition random trees to have large maximal out-degree. Under this new conditioning, we show that conditioned critical Gal…