171 citations · 605 across the 31 of their papers we have counts for
5 papers · 1 filter
A complete answer to the Gaveau--Brockett problem
Hong-Quan Li, Ye Zhang
The note is dedicated to provide a satisfying and complete answer to the long-standing Gaveau--Brockett open problem. More precisely, we determine the exact formula of the Carnot--…
Proxy ensemble geometric phase and proxy index of time-reversal invariant topological insulators at finite temperatures
Aixin Pi, Ye Zhang, Yan He +1
The ensemble geometric phase (EGP) has been proposed as a topological indicator for finite-temperatures systems. The ensemble Wilson loop, or the transfer matrix, contains the cruc…
A note on gradient estimates for the heat semigroup on nonisotropic Heisenberg groups
Ye Zhang
In this note we obtain gradient estimates for the heat semigroup on nonisotropic Heisenberg groups. More precisely, our aim is to get the H.-Q. Li inequality on nonisotropic Heisen…
Comparison of finite-temperature topological indicators based on Uhlmann connection
Ye Zhang, Aixin Pi, Yan He +1
Two indicators of finite-temperature topological properties based on the Uhlmann connection, one generalizing the Wilson loop to the Uhlmann-Wilson loop and the other generalizing…
On the method of differentiation and its application to asymptotics for the heat kernel on H-type groups
Ye Zhang
The aim of this note is twofold. The first one is to find conditions on the asymptotic sequence which ensures differentiation of a general asymptotic expansion with respect to it.…