Universal characters, a natural generalisation of the classical Schur functions, have emerged as a powerful algebraic tool in the study of integrable systems. They are defined as polynomials attached ...

Integrable Hamiltonian systems provide a rigorous framework in which complex dynamical behaviour can be understood through the existence of sufficient independent constants of motion. In particular, ...

Thermalization in classical systems can be well-understood by ergodicity. While ergodicity is absent for quantum systems, it is generally believed that the non-integrable quantum systems should ...