Department of Mathematics - Mathematics Colloquium - Two dimensional dimers beyond planarity
3:00pm - 4:00pm
Lecture Theatre F
We study the dimer model and the monomer double dimer model, and prove that on two-dimension like graphs (not necessarily planar), both the correlation function and the loop connectivity probability decays to zero. Our analysis is by introducing a new (complex) spin representation for all models belonging to this class, and by deriving a new proof of the Mermin-Wagner theorem which does not require the positivity of the Gibbs measure. Based on joint work with Lorenzo Taggi (Sapienza Univ. di Roma).
活动形式
讲者/ 表演者:
Prof. Wei WU
New York University Shanghai
语言
英文
适合对象
教职员
公众
研究生
本科生
主办单位
数学系