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math.DS2020
Harmonic currents directed by foliations by Riemann surfaces
Tien-Cuong Dinh, Hao Wu
We study local positive harmonic currents directed by a foliation by Riemann surfaces near a hyperbolic singularity which have no mass on the separatrices. A theorem of Nguyên says…
math.DS2020
Exponential mixing property for automorphisms of compact Kähler manifolds
Hao Wu
Let be a holomorphic automorphism of a compact Kähler manifold. Assume moreover that admits a unique maximal dynamic degree with only one eigenvalue of maximal modulu…
math.PR2020
Crossing estimates from metric graph and discrete GFF
Jian Ding, Mateo Wirth, Hao Wu
We compare level-set percolation for Gaussian free fields (GFFs) defined on a rectangular subset of to level-set percolation for GFFs defined on the corresponding m…