Randomness as an Equilibrium. Potential and Probability Density

Details Randomness as an Equilibrium. Potential and Probability Density Randomness as an Equilibrium. Potential and Probability Density

2002-12-02

arxiv.org/abs/math/0212019v1

In: Bayesian inference and Maximum Entropy methods in Science and Engineering, R. L. Fry (ed.), AIP (Melville), 405-410, 2002

Mathematics

Probability

4 pages, MaxEnt 2001 workshop

Scientific paper

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.

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