4 papers
Compactness of products and commutators of inner projections
Peiran Zhang, Roumei Tian, Yufeng Lu +2
In this paper, we study the compactness of the product and the commutator of two inner projections on the Hardy spaces over the unit disk and the polydisc. For the single-variable…
Numerical Reconstruction of Coefficients in Elliptic Equations Using Continuous Data Assimilation
Peiran Zhang
We consider the numerical reconstruction of the spatially dependent conductivity coefficient and the source term in elliptic partial differential equations in a two-dimensional con…
The third dimension of cities - relating building height, urban area, and population
Peiran Zhang, Liang Gao, Fabiano L. Ribeiro +3
For decades, urban development was studied on two-dimensional maps, largely ignoring the third dimension. However, building height is crucial because it dramatically potentiates th…
How buildings change the fundamental allometry
Fabiano L. Ribeiro, Peiran Zhang, Liang Gao +1
We demonstrate that the original fundamental allometry alone cannot accurately describe the relationship between urban area and population size. Instead, building height is a third…