20 citations · 85 across the 30 of their papers we have counts for
30 papers
Complex contraction on trees without proof of correlation decay
Liang Li, Guangzeng Xie
We prove complex contraction for zero-free regions of counting weighted set cover problem in which an element can appear in an unbounded number of sets, thus obtaining fully polyno…
On the placement of an obstacle so as to optimize the Dirichlet heat content
Liangpan Li
We prove that among all doubly connected domains of R^n (n>=2) bounded by two spheres of given radii, the Dirichlet heat content at any fixed time achieves its minimum when the sph…
Differentiable maps with isolated critical points are not necessarily open in infinite dimensional spaces
Chunrong Feng, Liangpan Li
Jean Saint Raymond asked whether continuously differentiable maps with isolated critical points are necessarily open in infinite dimensional (Hilbert) spaces. We answer this questi…
New inverse and implicit function theorems for differentiable maps with isolated critical points
Liangpan Li
The central purpose of this article is to establish new inverse and implicit function theorems for differentiable maps with isolated critical points. One of the key ingredients is…
Real numbers as infinite decimals -- theory and computation
Nicolas Fardin, Liangpan Li
In the 16th century, Simon Stevin initiated a modern approach to decimal representation of measuring numbers, marking a transition from the discrete arithmetic practised by the Gre…
Defining arithmetical operations on infinite decimals
Nicolas Fardin, Liangpan Li
Completing Loo-Keng Hua's approach to the real number system pioneered in 1962, this paper defines arithmetical operations directly on infinite decimals without appealing to any or…