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math.PR2017★ 24 cited
Schnyder woods, SLE(16), and Liouville quantum gravity
Yiting Li, Xin Sun, Samuel S. Watson
In 1990, Schnyder used a 3-spanning-tree decomposition of a simple triangulation, now known as the Schnyder wood, to give a fundamental grid-embedding algorithm for planar maps. In…
math.PR2014
On Fluctuations for Random Band Toeplitz Matrices
Yiting Li, Xin Sun
In this paper we study two one-parameter families of random band Toeplitz matrices: \[ A_n(t)=\frac{1}{\sqrt{b_n}}\Big(a_{i-j}δ_{|i-j|\le[b_nt]}\Big)_{i,j=1}^n \quad\text{and}\quad…