Dan Romik
Regular Faculty
Probability theory, combinatorics
Ph.D., 2001, TelAviv University
Refereed publications: Via Math Reviews
Web Page: http://www.math.ucdavis.edu/~romik/
Email: romik@math.ucdavis.edu
Office: MSB 2218
Current Courses: None
Office Hours: N/A
Phone: (530) 7548092
Research

My research interests are in probability theory and combinatorics. One main focus of my research is on the study of combinatorial objects such as permutations, Young tableaux, alternating sign matrices, domino tilings and more, in a probabilistic setting. Another focus is on enumeration of various classes of combinatorial objects. I have also worked on subjects related to ergodic theory, such as factor maps and translation invariant allocation schemes.
Selected Publications
[1] D. Romik, and P. Sniady. "Jeu de taquin dynamics on infinite Young tableaux and second class particles," preprint, 2011, arXiv:1111.0575.[2] S. Chatterjee, Y. Peres, R. Peled, D. Romik. "Gravitational allocation to Poisson points," Annals of Mathematics, 172:617671, arXiv:math/0611886.
[3] O. Angel, A. E. Holroyd, D. Romik, B. Virag. "Random sorting networks," Adv. Math., 215(2):839868, 2007, arXiv:math/0609538.
[4] I. Fischer, D. Romik. "More refined enumerations of alternating sign matrices," Adv. Math., 222:20042035, 2009, arXiv:0903.5073.
[5] B. G. Pittel, D. Romik. "Limit shapes for random square Young tableaux," Adv. Appl. Math., 38:164209, 2007, arXiv:math/0405190.
For my complete publication list, please visit publications.
Last updated: 20120423