Link to my papers on the arXiv.org e-Print archive.

[14] (with Kyler S. Johnson) Limiting operations for sequences of quantum random variables and a convergence theorem for quantum martingales. Preprint, 2015. Available online at arXiv:1504.03829.

[13] (with Douglas Farenick and Sarah Plosker) Spectra and variance of quantum random variables. J. Math. Anal. Appl., 434:1106-1122, 2016.

[12] (with Larissa M. Richards and Daniel W. Stroock) Determinants, their applications to Markov processes, and a random walk proof of Kirchhoff's matrix tree theorem. Preprint, 2013. Available online at arXiv:1306.2059.

[11] (with Tom Alberts and Robert Masson) Some partial results on the convergence of loop-erased random walk to SLE(2) in the natural parametrization. J. Statist. Phys., 153:119-141, 2013.

[10] (with Christian Beneš and Fredrik Johansson Viklund) On the rate of convergence of loop-erased random walk to SLE₂. Commun. Math. Phys., 318:307-354, 2013.

[9] (with Tom Alberts and Gregory F. Lawler) The Green function for the radial Schramm-Loewner evolution. J. Phys. A: Math. Theor., 45:494015, 2012.

[8] (with Douglas Farenick) Conditional expectation and Bayes' rule for quantum random variables and positive operator valued measures. J. Math. Phys., 53:042201, 2012.

[7] Using the Schramm-Loewner evolution to explain certain non-local observables in the 2d critical Ising model. J. Phys. A: Math. Theor., 42:265003, 2009.

[6] (with Tom Alberts) Intersection probabilities for a chordal SLE path and a semicircle. Electron. Commun. Probab., 13:448-460, 2008.

[5] The scaling limit of Fomin's identity for two paths in the plane. C. R. Math. Rep. Acad. Sci. Canada, 29:65-80, 2007.

[4] (with Gregory F. Lawler) The configurational measure on mutually avoiding SLE paths. Universality and Renormalization: From Stochastic Evolution to Renormalization of Quantum Fields, Volume 50 in the Fields Institute Communications series, pages 199-224, American Mathematical Society, 2007.

[3] On the scaling limit of simple random walk excursion measure in the plane. ALEA Lat. Am. J. Probab. Math. Stat., 2:125-155, 2006.

[2] (with Gregory F. Lawler) Estimates of random walk exit probabilities and application to loop-erased random walk. Electron. J. Probab., 10:1442-1467, 2005.

[1] Simple random walk excursion measure in the plane. Ph.D. dissertation, Duke University, 2004. Also available from UMI ProQuest.

Published Abstracts

[1] Convergence of 2D Critical Percolation to SLE₆. Oberwolfach Rep., 4:2806-2809, 2007.