Bridge Scaling in Conditioned Henyey-Greenstein Random Walks
This paper uses Monte Carlo simulations to demonstrate that fixed-length bridge paths in three-dimensional Henyey-Greenstein random walks exhibit four significant deviations from classical Brownian-excursion theory—such as super-diffusive amplitude scaling and a Rayleigh midpoint distribution—due to the walk's evolution on a two-dimensional Markovian state space, raising the question of whether these anomalies represent a permanent universality-class shift or a slow crossover.