2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100450Hamilton's equations with noise and friction possess a hidden supersymmetry, valid for time-independent as well as periodically time-dependent systems. It is used to derive topological properties of critical points and periodic trajectories in an elementary way. From a more practical point of view, the formalism provides new tools to study the reaction paths in systems with separated time scales. A 'reduced current' which contains the relevant part of the phase space probability current is introduced, together with strategies for its computation.39 pages, 5 figuresStatistical MechanicsHigh Energy Physics - TheoryMathematical PhysicsChaotic Dynamicstext