Prefer a chat interface with context about you and your work?
Exact formulas for two interacting particles and applications in particle systems with duality
We consider two particles performing continuous-time nearest neighbor random walk on $\mathbb{Z}$ and interacting with each other when they are at neighboring positions. The interaction is either repulsive (partial exclusion process) or attractive (inclusion process). We provide an exact formula for the LaplaceāFourier transform of the transition probabilities of the ā¦