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math-ph2025
Irreversible dynamics on Poisson manifolds
Erwin Luesink
We present a geometric construction of irreversible dynamics on Poisson manifolds that satisfies the axioms of metriplectic mechanics and the GENERIC framework. Our approach relies…
math.PR2025
Symplectic techniques for stochastic differential equations on reductive Lie groups with applications to Langevin diffusions
Erwin Luesink, Oliver D. Street
We show how Langevin diffusions can be interpreted in the context of stochastic Hamiltonian systems with structure-preserving noise and dissipation on reductive Lie groups. Reducti…