14 citations · 51 across the 12 of their papers we have counts for
13 papers
On a quantum martingale convergence theorem
Kyler S. Johnson, Michael J. Kozdron
It is well-known in quantum information theory that a positive operator valued measure (POVM) is the most general kind of quantum measurement. Mathematically, a quantum probability…
Spectra and Variance of Quantum Random Variables
Douglas Farenick, Michael J. Kozdron, Sarah Plosker
We study essentially bounded quantum random variables and show that the Gelfand spectrum of such a quantum random variable coincides with the hypoconvex hull of its essential range…
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…