Five-Vertex Model and Discrete Log-Gas
Published:Dec 29, 2025 05:59
•1 min read
•ArXiv
Analysis
This paper investigates the five-vertex model, a problem in statistical mechanics, by reformulating it as a discrete log-gas. This approach allows the authors to analyze the model's free energy and resolvent, reproducing existing results and providing new insights. The work is a step towards understanding limit shape phenomena in the model.
Key Takeaways
- •Reformulates the five-vertex model as a discrete log-gas.
- •Analyzes the free-energy density and resolvent.
- •Reproduces previous results and provides new insights.
- •Contributes to the understanding of limit shape phenomena.
Reference
“The paper provides the explicit form of the resolvent in all possible regimes.”