2013/10/18 by Tom Kennedy
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Conformal map #Conformal symmetry #Data Visualization and Analytics #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Monte Carlo method #Physics #Space (punctuation) #Statistical physics #Statistics #Theoretical and Computational Physics #math-ph #math.MP #math.PR
paper · pdf · doi:10.1103/physrevlett.111.165703
4 pages, 2 figures
openalex publication_date 2013/10/18 · arxiv created 2013/10/25 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that if the three-dimensional self-avoiding walk (SAW) is conformally invariant, then one can compute the hitting densities for the SAW in a half-space and in a sphere. We test these predictions by Monte Carlo simulations and find excellent agreement, thus providing evidence that the SAW is conformally invariant in three dimensions.