7 papers
Gaussian free field in annulus: BPZ equations and crossing probabilities for level lines
Chongzhi Huang, Mingchang Liu, Hao Wu
We consider level lines of Gaussian free field (GFF) in annulus with alternating boundary conditions. We calculate the probability that all level lines cross the annulus. Such prob…
Astrophysics on GPUs: introducing AGILE 1.0
Oliver Porth, Adrian Kelly, Olaf Willocx +10
We present AGILE, a GPU-enabled adaptive mesh refinement (AMR) framework for the solution of (near-) conservation laws which occur in astro- and solar-physical applications. AGILE…
foap4: Adaptive mesh refinement with OpenACC, MPI, and p4est
Jannis Teunissen, Héctor R. Olivares Sánchez, Jesse Vos +10
GPUs and other accelerators are increasingly used for scientific computing. In the future, we want to add GPU support to parallel adaptive mesh refinement (AMR) codes written in Fo…
Tripod in uniform spanning tree and three-sided radial SLE
Jiacheng Ding, Mingchang Liu, Hao Wu
Fix a bounded -polygon with three marked boundary points and suppose is an approximation of $(Ω; x_…
Radial BPZ equations and partition functions of FK-Ising interfaces conditional on one-arm event
Yu Feng, Hao Wu
Radial BPZ equations come naturally when one solves Dubédat's commutation relation in the radial setting. We construct positive solutions to radial BPZ equations and show that part…
Multiple SLEs for : Coulomb gas integrals and pure partition functions
Yu Feng, Mingchang Liu, Eveliina Peltola +1
In this article, we give an explicit relationship of SLE partition functions with Coulomb gas formalism of conformal field theory. We first construct a family of SLE partition…