5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.PR2020★ 5 cited
On Chemical Distance and Local Uniqueness of a Sufficiently Supercritical Finitary Random Interlacement
Zhenhao Cai, Xiao Han, Jiayan Ye +1
In this paper, we study geometric properties of the unique infinite cluster in a sufficiently supercritical Finitary Random Interlacements in $\mathbb{Z}^d…
math.AP2020
Small scale quantum ergodicity in cat maps. II. Quasimodes that are not equidistributed at the logarithmical scales
Xiaolong Han
In this series, we investigate quantum ergodicity at small scales for linear hyperbolic maps of the torus ("cat maps'"). In Part II of the series, we construct quasimodes that are…
math.AP2017★ 1 cited
Nodal lengths of eigenfunctions in the disc
Xiaolong Han, Michael Murray, Chuong Tran
In this paper, we derive the sharp lower and upper bounds of nodal lengths of Laplacian eigenfunctions in the disc. Furthermore, we observe a geometric property of the eigenfunctio…