4 papers
Sub-Laplacian generalized curvature dimension inequalities on Riemannian foliations
Fabrice Baudoin, Guang Yang
We develop a Bochner theory and Bakry-Emery calculus for horizontal Laplacians associated with general Riemannian foliations. No bundle-like assumption on the metric, nor any total…
The random Kakutani fixed point theorem in random normed modules
Qiang Tu, Xiaohuan Mu, Tiexin Guo +2
Based on the recently developed theory of random sequential compactness, we prove the random Kakutani fixed point theorem in random normed modules: if G is a random sequentially co…
Discrete inverse problems with internal functionals
Marcus Corbett, Fernando Guevara Vasquez, Alexander Royzman +1
We study the problem of finding the resistors in a resistor network from measurements of the power dissipated by the resistors under different loads. We give sufficient conditions…
Probabilistic Method to Fundamental gap problems on the sphere
Gunhee Cho, Guofang Wei, Guang Yang
We provide a probabilistic proof of the fundamental gap estimate for Schrödinger operators in convex domains on the sphere, which extends the probabilistic proof of F. Gong, H. Li,…