software repositories at GitHub,
- Lecture notes
- Dissertation topic: Critical behavior for the model of random spatial
- Research statement,
- Doctoral dissertation:
Critical behavior for the model of random spatial permutations.
Chapter 1: Scientific context,
Chapter 2: The model of random spatial permutations,
Chapter 3: Random variables,
Chapter 4: Markov chain Monte Carlo methods,
Chapter 5: The swap-only and swap-and-reverse algorithms,
Chapter 6: Band updates,
Chapter 7: The worm algorithm,
Chapter 8: Delta H computations,
Chapter 9: Algorithms for single MCMC runs,
Chapter 10: Batching of MCMC runs,
Chapter 11: Results,
Chapter 12: Future work,
Appendix A: Bose-gas derivation of random permutations,
Appendix B: Error bars, autocorrelation, and batched means,
- Dissertation appendix:
Notes on exponentially correlated
stationary Markov processes.
- Slides for a job talk: half
on general MCMC methods, half on my dissertation research.
- Slides for 15-minute
talk at the February 2010 Workshop of the Center for Simulational
Physics at the University of Georgia;
manuscript for same.
- Slides for 15-minute talk at
the January 2010 joint meetings.
- Preprint of condensed version of dissertation, submitted to
Journal of Statistical Physics:
- VIGRE proposal for spring 2010;
statement of merit and impact;
VIGRE report for spring 2010.
- September 2009 talk for the UA Mathematical Physics Seminar:
- July 2009 talk for the Berlin SPA:
- VIGRE proposal for summer/fall 2009;
VIGRE report for summer 2009,
VIGRE report for fall 2009.
- Written comprehensive examination paper;
slides for oral comprehensive examination (January 2009).
- Pseudocode for MCMC simulation of the N2 model
- VIGRE proposal for fall 2008.
- April 2008 talk for the UA Mathematical Physics Seminar:
- Spring 2008 (follow-up in summer 2009): Independent study under
on a percolation problem arising in quantum networks.
- Fall 2006 Research Tutorial Group.
- Master’s thesis, May 2005:
- About this site
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