2007/05/15 by Dorje C. Brody · 10 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Applied mathematics #Complex Systems and Time Series Analysis #Distribution (mathematics) #Exponential distribution #Exponential family #Exponential function #Exponentially modified Gaussian distribution #Gamma distribution #Mathematical analysis #Mathematics #Natural exponential family #Physics #Probability distribution #Pure mathematics #Quantum #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #Statistics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8113/40/30/f01
published in Journal of Physics A Mathematical and Theoretical 40(30), F691-F695 (Institute of Physics) · 5 pages
arxiv created 2007/05/15 · openalex publication_date 2007/07/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that an arbitrary probability distribution can be represented in an exponential form. In physical contexts, this implies that the equilibrium distribution of any classical or quantum dynamical system is expressible in a grand canonical form.