9 citations · 16 across the 5 of their papers we have counts for
5 papers
An analytic approach to -adic diffeomorphism group and Teichmüller theory
Yuxiu Lu
We consider a specific class of infinite dimensional -adic Lie groups, i.e., a sort of diffeomorphism groups on -adic ball . It…
The -geometry and its applications
Yuxiu Lu
We generalize the classical Fisher information metric on statistical models to -metrics on various spaces of differential forms or group of diffeomorphisms. Using this new int…
The -Fisher-Rao metric and Amari-Cencov -connections
Martin Bauer, Alice Le Brigant, Yuxiu Lu +1
We introduce a family of Finsler metrics, called the -Fisher-Rao metrics , for , which generalizes the classical Fisher-Rao metric , both on the spa…
A geometric view on the generalized Proudman-Johnson and -Hunter-Saxton equations
Martin Bauer, Yuxiu Lu, Cy Maor
We show that two families of equations on the real line, the generalized inviscid Proudman--Johnson equation, and the -Hunter--Saxton equation (recently introduced by Cotter et…
On cobordism of generalized (real) Bott manifolds
Yuxiu Lu
We show that all generalized (real) Bott manifolds which are (small covers) quasitoric manifolds over a product of simplices are alway…