Tianyi Zhou

collaborators

4 papers

math.OA2025

Characterizations of Type-III Bernoulli Scheme

Tianyi Zhou

In this paper, we will prove alternate conditions for a type- $I I I$ Bernoulli scheme to be of type- $I I I_{0}$ , type- $I I I_{I^} »$ and type- $I I I_{1}$ , and then conclude an alternate definition…

math.GN2025

Non-Hausdorff Separation Axioms

Tianyi Zhou

This note is an introductory survey of non-Hausdorff separation axioms. The main focus is to study properties that are between $T_{0}$ and $T_{1}$ , properties between $T_{1}$ and Hausdor…

math.FA2025

Characterizations of reflexive Banach spaces

Tianyi Zhou

In this paper we survey known results of characterizations of reflexive Banach spaces, which are based on convergence of usual and generalized arithmetic mean (or CesÃ ro sum), wea…

cs.HC2024

Study on the Influence of Embodied Avatars on Gait Parameters in Virtual Environments and Real World

Tianyi Zhou, Ding Ding, Shengyu Wang +2

In this study, we compare the virtual and real gait parameters to investigate the effect of appearances of embodied avatars and virtual reality experience on gait in physical and v…