Hao Wu

collaborators

3 papers

math.DS2022

Ergodic Deviations of Degenerate Multidimensional Actions -- Symmetric Convex Bodies

Hao Wu

We prove that the ergodic deviation of a degenerate $Z^{2}$ -action on the torus $T^{2}$ relative to a symmetric, strictly convex body can be decomposed into two parts…

math.PR2021

Decay of Fourier coefficients for Furstenberg measures

Tien-Cuong Dinh, Lucas Kaufmann, Hao Wu

Let $ν$ be the Furstenberg measure associated with a non-elementary probability measure $μ$ on SL_2(R). We show that, when $μ$ has a finite second moment, the Fourier coefficients…

math.PR2021

Loop-Erased Random Walk Branch of Uniform Spanning Tree in Topological Polygons

Mingchang Liu, Hao Wu

We consider uniform spanning tree (UST) in topological polygons with $2 N$ marked points on the boundary with alternating boundary conditions. In [LPW21], the authors derive the sca…