Publication list:

1) Gonzalez, A., and Holcomb, D., Evolution of the stochastic Airy eigenvalues under a changing boundary, preprint, October, 2018. here

2) Holcomb, D., The random matrix hard edge: rare events and a transition, Elec. J. Prob, v. 23, p. 1-20 (2018). here

3) Holcomb, D., and Paquette, E., The maximum deviation of the Sine-beta counting process, Elec. Comm. Prob., v. 23, p.1-13 (2018). here

4) Holcomb, D. and Paquette, E., Tridiagonal Models for Dyson Brownian Motion, https://arxiv.org/abs/1707.02700, July 2017. here

5) Holcomb, D. and Valkó, B., Overcrowding asymptotics for the Sineβ process, AIHP, v. 53, no. 3, p. 1181-1195 (2017). here

6) Holcomb, D. and Valkó, B., Large deviations for the Sineβ and Schτ processes, PTRF, v163-1 (2015), p. 339-378. here

7) Holcomb, D. and Moreno-Flores, G., Edge Scaling of the β-Jacobi Ensemble, J. Stat Phys, 149:1136-1160, December 2012. here

For a copy of my thesis. here