126 citations · 321 across the 44 of their papers we have counts for
44 papers
A Differential Harnack Inequality for the FitzHugh-Nagumo Equation
Xiaodong Cao, Harry Fluck, Sophia Teng
In this paper we develop a Li-Yau-Hamilton (LYH) type differential Harnack estimate for positive solutions to the FitzHugh-Nagumo equation on . We then use our LYH-di…
Regularized distance in space forms and its application
Xiaodong Cao, Ling Xiao
We construct regularized distance functions for star-shaped domains in space forms and derive explicit formulas for their Hessians in terms of the principal curvat…
Rigidity of four-dimensional Kähler-Ricci solitons
Xiaodong Cao, Ernani Ribeiro, Hung Tran
In this article, we investigate four-dimensional gradient shrinking Ricci solitons close to a Kähler model. The first theorem could be considered as a rigidity result for the Kähle…
Curvature of the Second kind and a conjecture of Nishikawa
Matthew Gursky, Xiaodong Cao, Hung Tran
In this paper, we investigate manifolds for which the curvature of the second kind (following the terminology of Nishikawa) satisfies certain positivity conditions. Our main result…
Continued fraction formulae involving ratios of three gamma functions
Xiaodong Cao, Yoshio Tanigawa, Wenguang Zhai
Via the MC-algorithm, in this paper we produce seven continued fraction formulae involving products and quotients of three gamma functions with three parameters, and another is an…
Minimally Entangled Typical Thermal States Algorithms for Finite Temperature Matsubara Green Functions
Daniel Bauernfeind, Xiaodong Cao, E. Miles Stoudenmire +1
We extend finite-temperature tensor network methods to compute Matsubara imaginary-time correlation functions, building on the minimally entangled typical thermal states (METTS) an…