3 papers
math.PR2018
Sticky Brownian motions and a probabilistic solution to a two-point boundary value problem
Thu Dang Thien Nguyen
In this paper, we study a two-point boundary value problem consisting of the heat equation on the open interval with boundary conditions which relate first and second spati…
math.PR2018
Particle model for the reservoirs in the simple symmetric exclusion process
Thu Dang Thien Nguyen
In this paper, we will study the long time behavior of the simple symmetric exclusion process in the ``channel'' with reservoirs at the boundaries. These…
math.PR2018
Fick law and sticky Brownian motions
Thu Dang Thien Nguyen
We consider an interacting particle system in the interval with reservoirs at the boundaries. While the dynamics in the channel is the simple symmetric exclusion process, t…