5 papers
The right invariant metric on the analytic automorphism group of the unit open disk induced by maximal modulus
Yue Xin, Yan Li, Bingzhe Hou
In this paper, we study the right invariant metric on the analytic automorphism group of the unit open disk induced by maximal…
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…
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…
On the -distinguished automorphic spectrum of
Kewen Wang, Yu Xin
Given a reductive group and a reductive subgroup , both defined over a number field , we introduce the notion of the -distinguished automorphic spectrum of and ana…
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…