Orateur
Cristian Giardinà
(Università di Modena e Reggio Emilia)
Description
Building on the Lie-algebraic approach to duality, I will revisit the harmonic process and show that it arises as the Markov process associated with the integrable XXX_s Hamiltonian with non-compact spins. Its large-spin limit yields a lattice formulation of macroscopic fluctuation theory whose large-deviation Hamiltonian is the classical Ishimori chain. Exploiting this integrable structure, we solve the current large-deviation problem on the infinite line with step initial data (joint work with K. Mallick, H. Suda, and T. Sasamoto).