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cond-mat.stat-mech2019
How to Win Friends and Influence Functionals: Deducing Stochasticity From Deterministic Dynamics
Gerard McCaul, Denys I. Bondar
The longstanding question of how stochastic behaviour arises from deterministic Hamiltonian dynamics is of great importance, and any truly holistic theory must be capable of descri…
cond-mat.stat-mech2019★ 7 cited
Entropy non-conservation and boundary conditions for Hamiltonian dynamical systems
Gerard McCaul, Alexander Pechen, Denys I. Bondar
Applying the theory of self-adjoint extensions of Hermitian operators to Koopman von Neumann classical mechanics, the most general set of probability distributions is found for whi…