Current Research Interest
The content in this page is my current mathematical research interest. I am open for suggestions and comments on any of the following problems
Slanted T-system asymptotic via different method
There are different way to understand the asysmptotic of a dimer model, up to defining the weights. In a submitted paper, we used the method of analytic combinatorics in several variables to extract the asymptotics of the dimer model associated to the T-system with slanted initial data (specific defintion is in the linked paper).
The tangent method introduced by Colomo and Sportiello has been shown to be fruitful in determining the arctic curves for vertex model. An extensive study and application of the method has been given by Di Francesco, Guitter and Debin in a series of paper 1, 2, 3, 4, 5, 6, 7 to name a few. We would like to continue and apply this perspective to our model in the next paper.