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The results of transition state theory and the so-called Bennett-Chandler procedure are derived rigorously in the general context of ergodic dynamical systems defined by a vector field on a Riemannian manifold. This allows one to give a new perspective on the Bennett-Chandler procedure to compute the dynamical corrections to the TST transition frequency. Hamiltonian dynamical systems are also considered as a special case. The so-called Marcus formula is re-derived and a new criterion fordoi:10.1088/0951-7715/19/2/014 fatcat:dopen6bb4vdqzolae5f7e5nzra