The asymptotic determinant of the discrete Laplacian
classification
🧮 math-ph
math.MPmath.PR
keywords
asymptoticdeterminantdiscretelaplacianapplicationcomputeexponentgrowth
read the original abstract
We compute the asymptotic determinant of the discrete Laplacian on a simply-connected rectilinear region in R^2. As an application of this result, we prove that the growth exponent of the loop-erased random walk in Z^2 is 5/4.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.