3 papers
astro-ph.GA2025
Kinetic Theory and the Mechanics of Isothermal Gas Spheres: Derivation of the Classical Emden--Chandrasekhar Equation via the Vlasov--Poisson Formalism
Steven D Miller
We present a derivation of the mechanics of isothermal gas spheres directly from the Vlasov--Poisson equation. By extremising the Boltzmann entropy, we obtain the Maxwell--Boltzman…
math.PR2025
The Kelly Criterion And Utility Function Optimisation For Stochastic Binary Games: Submartingale And Supermartingale Regimes
Steven D Miller
A reformulation of the Kelly Criterion is presented. Let be a generic stochastic Bernoulli binary game with outcomes of N tria…
math.PR2024
A Spectral Representation of a Weighted Random Vectorial Field: Potential Applications to Turbulence and the Problem of Anomalous Dissipation in the Inviscid Limit
Steven D Miller
Let with . Let be a Gaussian random field with expectation $\mathbf…