Directed polymer in random environment and two points state space
Philippe Carmona (LMJL)
TL;DR
This paper derives an exact formula for the partition function of a continuous-time directed polymer in a random environment on a two-point state space, providing precise insights into its probabilistic structure.
Contribution
It introduces an exact expression for the partition function of a continuous-time DPRE on a two-point state space, advancing analytical understanding in this area.
Findings
Exact partition function expression obtained
Enhanced understanding of DPRE on two-point spaces
Potential applications in related probabilistic models
Abstract
We give an exact expression for the partition function of a continuous time DPRE on a two points state space.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsRandom Matrices and Applications · Stochastic processes and statistical mechanics · Markov Chains and Monte Carlo Methods