18 citations · 42 across the 9 of their papers we have counts for
11 papers
Optimal transport to non-convex polyhedral domains
Shibing Chen, Qi-Rui Li, Yuanyuan Li +2
We study optimal transport with a non-convex polyhedral target in . The closure of the singular set is locally a smooth hypersurface outside a relatively closed set o…
Arithmetic transfer for inner forms of
Qirui Li, Andreas Mihatsch
We formulate Guo--Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of . Our main results confirm these conjectures for divisi…
On the Linear AFL: The Non-Basic Case
Qirui Li, Andreas Mihatsch
The linear Arithmetic Fundamental Lemma (AFL) conjecture compares intersection numbers on Lubin--Tate deformation spaces with derivatives of orbital integrals. It has been introduc…
The -Minkowski problem with super-critical exponents
Qiang Guang, Qi-Rui Li, Xu-Jia Wang
The -Minkowski problem deals with the existence of closed convex hypersurfaces in with prescribed -area measures. It extends the classical Minkowski prob…
A flow approach to the Musielak-Orlicz-Gauss image problem
Qi-Rui Li, Weimin Sheng, Deping Ye +1
In this paper, the extended Musielak-Orlicz-Gauss image problem is studied. Such a problem aims to characterize the Musielak-Orlicz-Gauss image measure $\widetilde{C}_{G,Ψ,λ}(Ω,\cd…
Intersections in Lubin-Tate space and biquadratic fundamental lemmas
Benjamin Howard, Qirui Li
We compute the intersection multiplicities of special cycles in Lubin-Tate spaces, and formulate a new arithmetic fundamental lemma relating these intersections to derivatives of o…
The Christoffel problem by fundamental solution of the Laplace equation
Qi-Rui Li, Dongrui Wan, Xu-Jia Wang
The Christoffel problem is equivalent to the existence of convex solutions to the Laplace equation on the unit sphere . Necessary and sufficient conditions have been found by…
An intersection number formula for CM cycles in Lubin-Tate towers
Qirui Li
We give an explicit formula for the arithmetic intersection number of CM cycles on Lubin-Tate spaces for all levels. We prove our formula by formulating the intersection number on…
Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems
Qi-Rui Li, Weimin Sheng, Xu-Jia Wang
In this paper we study a contracting flow of closed, convex hypersurfaces in the Euclidean space with speed , where is the Gauss curvature, is th…
Extensions of Vector Bundles on the Fargues-Fontaine Curve
Christopher Birkbeck, Tony Feng, David Hansen +4
We completely classify the possible extensions between semistable vector bundles on the Fargues-Fontaine curve (over an algebraically closed perfectoid field), in terms of a simple…
Regularity in Monge's mass transfer problem
Qi-Rui Li, Filippo Santambrogio, Xu-Jian Wang
In this paper, we study the regularity of optimal mappings in Monge's mass transfer problem. Using the approximation to Monge's cost function given by the Euclidean distance c(x,y)…