Randomness as an Equilibrium. Potential and Probability Density
arXiv:math/0212019
Abstract
Randomness is viewed through an analogy between a physical quantity, density of gas, and a mathematical construct -- probability density. Boltzmann's deduction of equilibrium distribution of ideal gas placed in an external potential field than provides a way of viewing probability density from a perspective of forces/potentials, hidden behind it.
arXiv comment4 pages, MaxEnt 2001 workshop