论文标题
四个vertex模型在不均匀的外部字段和跟踪统计中的分区功能
The partition function of the four-vertex model in inhomogeneous external field and trace statistics
论文作者
论文摘要
考虑到存在不均匀生长的外场的情况下，具有固定边界条件的确切可解决的四个vertex模型。计算模型的分区函数，并以确定形式表示。与盒装平面分区的建立连接使我们能够用其对角线的固定总和来计算平面分区的生成函数。获得的结果是可集成模型与枚举组合学的连接的另一个示例。
The exactly solvable four-vertex model with the fixed boundary conditions in the presence of inhomogeneous linearly growing external field is considered. The partition function of the model is calculated and represented in the determinantal form. The established connection with the boxed plane partitions allows us to calculate the generating function of plane partitions with the fixed sums of their diagonals. The obtained results are another example of the connection of integrable models with the enumerative combinatorics.
