Yuxiu Lu

activity

20172026

most citedA geometric view on the generalized Proudman-Johnson and

r

-Hunter-Saxton equations

9 citations · 16 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.DG2023★ 6 cited

The $L^{p}$ -Fisher-Rao metric and Amari-Cencov $α$ -connections

Martin Bauer, Alice Le Brigant, Yuxiu Lu +1

We introduce a family of Finsler metrics, called the $L^{p}$ -Fisher-Rao metrics $F_{p}$ , for $p \in (1, \infty)$ , which generalizes the classical Fisher-Rao metric $F_{2}$ , both on the spa…

math.DG2021★ 9 cited

A geometric view on the generalized Proudman-Johnson and $r$ -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 $r$ -Hunter--Saxton equation (recently introduced by Cotter et…

The Lp-Fisher-Rao metric and Amari-Cencov α-connections

A geometric view on the generalized Proudman-Johnson and r-Hunter-Saxton equations

The $L^{p}$ -Fisher-Rao metric and Amari-Cencov $α$ -connections

A geometric view on the generalized Proudman-Johnson and $r$ -Hunter-Saxton equations