8 citations · 13 across the 5 of their papers we have counts for
5 papers
Rates of Convergence for the Planar Discrete Green's Function in Pacman Domains
Christian Benes
We obtain upper bounds for the rates of convergence for the simple random walk Green's function in the domains where…
Scaling limit of the loop-erased random walk Green's function
Christian Benes, Gregory F. Lawler, Fredrik Johansson Viklund
We consider loop-erased random walk (LERW) running between two boundary points of a square grid approximation of a planar simply connected domain. The LERW Green's function is the…
A Local Limit Theorem and Loss of Rotational Symmetry of Planar Symmetric Simple Random Walk
Christian Beneš
We derive a local limit theorem for normal, moderate, and large deviations for symmetric simple random walk on the square lattice in dimensions one and two that is an improvement o…
On the rate of convergence of loop-erased random walk to SLE(2)
Christian Benes, Fredrik Johansson Viklund, Michael J. Kozdron
We derive a rate of convergence of the Loewner driving function for planar loop-erased random walk to Brownian motion with speed 2 on the unit circle, the Loewner driving function…
Some Estimates for Planar Random Walk and Brownian Motion
Christian Benes
The purpose of this note is to collect in one place a few results about simple random walk and Brownian motion which are often useful. These include standard results such as Beurli…