Ching-Peng Huang

collaborators

4 papers

cs.IT2023

How do correlations shape the landscape of information?

Ching-Peng Huang

We explore a few common models on how correlations affect information. The main model considered is the Shannon mutual information $I (S : R_{1}, \dots, R_{i})$ over distributions with ma…

math.PR2022

Dyson Brownian Motion and motion by mean curvature

Ching-Peng Huang, Dominik Inauen, Govind Menon

We construct Dyson Brownian motion for $β \in (0, \infty]$ by adapting the extrinsic construction of Brownian motion on Riemannian manifolds to the geometry of group orbits within th…

math.PR2022

Eigenvalue processes in light of Riemannian submersion and gradient flow of isospectral orbits

Ching-Peng Huang

We prove eigenvalue processes from dynamical random matrix theory including Dyson Brownian motion, Wishart process, and Dynkin's Brownian motion of ellipsoids are results of projec…

math.PR2022

A model of invariant control system using mean curvature drift from Brownian motion under submersions

Ching-Peng Huang

Given a submersion $ϕ : M \to N$ , where $M$ is Riemannian, we construct a stochastic process $X$ on $M$ such that the image $Y := ϕ (X)$ is a (reversed, scaled) mean curvature flow of…