6月23日(木) 15:30 -- 16:30 Prof. Mitchell Luskin (University of Minnesota, USA) ``On Nose-Hoover thermostats for molecular dynamics'' <研究発表要旨> The Nose-Hoover dynamics is a deterministic method that is commonly used to sample the canonical Gibbs measure. This dynamics extends the physical Hamiltonian dynamics by the addition of a thermostat variable, that is coupled nonlinearly with the physical variables. The accuracy of the method depends on the dynamics being ergodic. Numerical experiments have been published earlier that are consistent with non-ergodicity of the dynamics for some model problems. The authors recently proved the non-ergodicity of the Nosw-Hoover dynamics for the onedimensional harmonic oscillator. In this paper, this result is extended to non-harmonic one-dimensional systems.