3 citations · 5 across the 6 of their papers we have counts for
6 papers
Horizontal inverse mean curvature flow in the Heisenberg group
Jingshi Cui, Peibiao Zhao
Huisken and Ilmanen [J. Differential Geom., 2001] created the theory of weak solutions for inverse mean curvature flows (IMCF) of hypersurfaces on Riemannian manifolds, and proved…
Michael-Simon type inequalities in hyperbolic space via Brendle-Guan-Li's flows
Jingshi Cui, Peibiao Zhao
In the present paper, we first establish and verify a new sharp hyperbolic version of the Michael-Simon inequality for mean curvatures in hyperbolic space based…
Locally constrained flows and sharp Michael-Simon inequalities in hyperbolic space
Jingshi Cui, Peibiao Zhao
Brendle [6] successfully establishes the sharp Michael-Simon inequality for mean curvature on Riemannian manifolds with nonnegative sectional curvature (), and…
An expanding curvature flow and the (p,q)-Christoffel-Minkowski problems
Bin Chen, Jingshi Cui, Peibiao Zhao
The present paper introduces a new class of geometric measures, the k-th (p,q)-mixed curvature measures, and a natural correspondence-(p,q)-Christoffel-Minkowski problem is propose…
Robust Data-driven Profile-based Pricing Schemes
Jingshi Cui, Haoxiang Wang, Chenye Wu +1
To enable an efficient electricity market, a good pricing scheme is of vital importance. Among many practical schemes, customized pricing is commonly believed to be able to best ex…
Vulnerability Analysis for Data Driven Pricing Schemes
Jingshi Cui, Haoxiang Wang, Chenye Wu +1
Data analytics and machine learning techniques are being rapidly adopted into the power system, including power system control as well as electricity market design. In this paper,…