Stationary Log-Gamma Polymer in Half-Space
Abstract
We study the half-space log-gamma polymer model with stationary initial conditions. We derive exact formulas for the distribution of the partition function along the diagonal across the entire High density phase and Low density phase. We obtain asymptotics of these distributions under the critical scaling. We also prove the first exponential upper bounds for the upper and lower tail of the scaled free energy for these half-space stationary log-gamma models.
Fields of Study & Subjects
Random Matrices and Applications
Stochastic processes and statistical mechanics
Theoretical and Computational Physics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 23 February 2026
- Language
- EN
- Document type
- Preprint