3 papers
math.AT2025
Persistence modules induced by inner functions
Jiaxing He, Bingzhe Hou, Xiao Wang +1
As well-known, inner functions play an important role in the study of bounded analytic function theory. In recent years, persistence module theory, as a main tool applied to Topolo…
math.DS2025
Topologically conjugate classification of diagonal operators
Yue Xin, Bingzhe Hou
Let , , be the Banach space of absolutely -th power summable sequences and let be the natural projection to the -th coordinate for $n\in\ma…
cs.CV2024
Mix-GENEO: A Flexible Filtration for Multiparameter Persistent Homology Detects Digital Images
Jiaxing He, Bingzhe Hou, Tieru Wu +1
Two important tasks in the field of Topological Data Analysis are building practical multifiltrations on objects and using TDA to detect the geometry. Motivated by the tasks, we bu…