Derives a Boltzmann-like distribution over actions via maximum entropy subject to a mean-action constraint, producing a Markovian stochastic propagator that matches Brownian motion and remains covariant at relativistic speeds.
The maximum relative entropy principle
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We show that the naive application of the maximum entropy principle can yield answers which depend on the level of description, i.e. the result is not invariant under coarse-graining. We demonstrate that the correct approach, even for discrete systems, requires maximization of the relative entropy with a suitable reference probability, which in some instances can be deduced from the symmetry properties of the dynamics. We present simple illustrations of this crucial yet surprising feature in examples of classical and quantum statistical mechanics, as well as in the field of ecology.
fields
cond-mat.stat-mech 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Stochastic dynamics from maximum entropy in action space
Derives a Boltzmann-like distribution over actions via maximum entropy subject to a mean-action constraint, producing a Markovian stochastic propagator that matches Brownian motion and remains covariant at relativistic speeds.