3 citations · 3 across the 6 of their papers we have counts for
6 papers
Nonsymmetric examples for Gaussian correlation inequalities
Chien-Hao Huang
In this paper, we compare two variances of maxima of standard Gaussian random variables. One is a sequence of i.i.d. standard Gaussians, and the other one is standard G…
One-dimensional polymers in random environments: stretching vs. folding
Quentin Berger, Chien-Hao Huang, Niccolo Torri +1
In this article we study a \emph{non-directed polymer model} on , that is a one-dimensional simple random walk placed in a random environment. More precisely, the law of…
The scaling limits for Wiener sausages in random environments
Chien-Hao Huang
We consider the statistical mechanics of a random polymer with random walks and disorders in . The walk collects random disorders along the way and gets nothing if it…
On the speed of the one-dimensional polymer in the large range regime
Chien-Hao Huang
We consider a Hamiltonian involving the range of the simple random walk and the Wiener sausage so that the walk tends to stretch itself. This Hamiltonian can be easily extended to…
Random potentials for pinning models with Laplacian interactions
Chien-Hao Huang
We consider a statistical mechanics model for biopolymers. Sophisticated polymer chains, such as DNA, have stiffness when they stretch chains. The Laplacian interaction is used to…
Random potentials for pinning models with \nabla and Δinteractions
Chien-Hao Huang
We consider two models for biopolymers, the interaction and the one, both with the Gaussian potential in the random environment. A random field $φ:{0,1,...,N}\rightarr…