14 citations · 51 across the 12 of their papers we have counts for
10 papers · 1 filter
Determinants, their applications to Markov processes, and a random walk proof of Kirchhoff's matrix tree theorem
Michael J. Kozdron, Larissa M. Richards, Daniel W. Stroock
Kirchhoff's matrix tree theorem is a well-known result that gives a formula for the number of spanning trees in a finite, connected graph in terms of the graph Laplacian matrix. A…
Some partial results on the convergence of loop-erased random walk to SLE(2) in the natural parametrization
Tom Alberts, Michael J. Kozdron, Robert Masson
We outline a strategy for showing convergence of loop-erased random walk on the Z^2 square lattice to SLE(2), in the supremum norm topology that takes the time parametrization of t…
The Green's function for the radial Schramm-Loewner evolution
Tom Alberts, Michael J. Kozdron, Gregory F. Lawler
We prove the existence of the Green's function for radial SLE(k) for k<8. Unlike the chordal case where an explicit formula for the Green's function is known for all values of k<8,…
Conditional expectation and Bayes' rule for quantum random variables and positive operator valued measures
Douglas Farenick, Michael J. Kozdron
A quantum probability measure is a function on a sigma-algebra of subsets of a (locally compact and Hausdorff) sample space that satisfies the formal requirements for a measure, bu…
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…
Intersection probabilities for a chordal SLE path and a semicircle
Tom Alberts, Michael J. Kozdron
We derive a number of estimates for the probability that a chordal SLE path in the upper half plane H intersects a semicircle centred on the real line. We prove that if 0<kappa<8 a…