Fundamental models of interacting particles, such as those occurring in mathematical physics and queuing theory, are widely studied to understand non-equilibrium behavior in physical systems consisting of large numbers of particles, to study large classes of transport phenomena, scheduling mechanisms and interface growth.
Invited talks, refereed proceedings and other conference outputs
Wheeler, M., & Zinn-Justin P.
(2016). Refined Cauchy/Littlewood identities and six-vertex model partition functions: III. Deformed bosons. Advances in Mathematics. 299, 543-600. doi: 10.1016/j.aim.2016.05.010
Betea, D., & Wheeler M.
(2016). Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices. Journal of Combinatorial Theory, Series A. 137, 126-165. doi: 10.1016/j.jcta.2015.08.007
Betea, D., Wheeler M., & Zinn-Justin P.
(2015). Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures. Journal of Algebraic Combinatorics. 42(2), 555-603. doi: 10.1007/s10801-015-0592-3