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math-ph2026
Spending Operators and Weak Power-Port Decompositions for Path-Dependent Entropic Lagrangians
Huilong Ren
History-dependent entropic variational formulations require a calibrated terminal differential for accumulated power and a spatial power split that remains meaningful for weak diff…
math-ph2026
Path-Dependent Entropic Lagrangian for Probability Flows: Balance--Entropy Routing and Composable Information Potentials
Huilong Ren
Probability distributions are central to information theory, statistical inference, and modern probabilistic learning. Maximum entropy selects a probability state under prescribed…