Spectral Mean Flow and Variance Dynamics of Completely Monotone Functions
Abstract
[English] We study functions representable as finite positive mixtures of exponential modes, F(t) = sum_k a_k exp(-lambda_k t), and their associated effective rate r(t) = -F'(t)/F(t). We prove four exact results. (1) A universal variance identity: r'(t) = -Var_t(lambda)
Fields of Study & Subjects
Bayesian Methods and Mixture Models
Markov Chains and Monte Carlo Methods
Statistical Mechanics and Entropy
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 13 March 2026
- Language
- EN
- Document type
- Preprint