Sevak Mkrtchyan

CV

Curriculum Vitae (pdf)

Research interests

Random tilings, determinantal point processes and random matrix theory, random polymers, asymptotic representation theory, abelian sandpiles. 

Publications and preprints

1. Moment conditions for the asymptotic completeness of iid gap sequences (with V. Asatryan and E. Babasyan). Submitted.

2. Limit shape of the leaky Abelian sandpile model with multiple layers (with T. Ballu, C. Boutillier, and K. Raschel). Submitted.

3. Similar point configurations via group actions (with P. Bhowmik, A. Greenleaf, A. Iosevich and F. Rakhmonov). Submitted.

4. On the phase diagram of the polymer model (with A. Krishnan, and S. Neville). Submitted.

5. Rigidity, graphs and Hausdorff dimension (with N. Chatzikonstantinou, A. Iosevich and J. Pakianathan). Springer International Publishing, Combinatorial and Additive Number Theory IV: 73-106.

6. Random gap processes and asymptotically complete sequences (with E. Brown-Crossen and J. Pakianathan), Journal of Theoretical Probability (2021). https://doi.org/10.1007/s10959-021-01091-8.

7. Turning point processes in plane partitions with periodic weights of arbitrary period; Representation Theory, Mathematical Physics, and Integrable Systems, Progress in Mathematics , vol 340.

8. The limit shape of the Leaky Abelian Sandpile model (with I. Alevy), International Mathematics Research Notices, Volume 2022, Issue 16, Pages 12767-12802.

9. Existence of similar point configurations in thin subsets of R^d (with A. Greenleaf and A. Iosevich). Mathematische Zeitschrift , 297:855–865, 2021.

10. GUE corners limit of q-distributed lozenge tilings (with L. Petrov). Electronic Journal of Probability, Volume 22 (2017), paper no. 101, 24 pp.

11. Symmetrizing Tableaux and the 5th case of the Foulkes Conjecture (with M. Cheung, C. Ikenmeyer). Journal of Symbolic Computation, 80 (2017) 833-843.

12. Plane partitions with two-periodic weights. Letters in Mathematical Physics, 104(9):1053-1078, 2014.

13. Entropy of Schur-Weyl measures. Annales de l'Institut Henri Poincaré, 50(2):678-713, 2014.

14. Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles (with A. Bufetov, M. Shcherbina, A. Soshnikov), Journal of Statistical Physics, 152(1):1-14, 2013.

15. Asymptotics of the maximal and the typical dimensions of isotypic components of tensor representations of the symmetric group, European Journal of Combinatorics, 33(7):1631-1652, 2012.

16. Scaling limits of random skew plane partitions with arbitrarily sloped back walls, Communications in Mathematical Physics, 305(3):711-739, 2011.

17. Random skew plane partitions with a piecewise periodic back wall (with C. Boutillier, N. Reshetikhin, P. Tingley.), Annales Henri Poincaré. 13(2):271-296, 2012.

18. Scaling limits of random skew plane partitions. PhD Thesis, University of California, Berkeley, 2009.

Links

1. Carl Mueller's advice for Advice for Probability Graduate Students

2. UR Probability page

3. UR Math Department