3 papers
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…
math.AP2025
CDF-Generated Damage Laws: Admissibility, Gamma-Convergence to Griffith Fracture, and Well-Posedness
Huilong Ren
We formulate a family of scalar softening laws by setting the stored-energy density , where ranges over exponential, Cauchy, logistic, half-normal,…