manifoldlevyt
Manifoldlevyt is a hypothetical mathematical construct that generalizes differentiable manifolds by incorporating stochastic dynamics modeled by Lévy processes. It envisions a smooth manifold M equipped with a jump structure and a compatible stochastic generator, aiming to fuse geometric insight with non-continuous motion.
A manifoldlevyt consists of a differentiable manifold M with additional data that encode both geometry and
Special cases help illuminate the concept. If all νp vanish and the drift is zero, a manifoldlevyt
Applications of the idea lie in stochastic geometry, geometric data analysis, and mathematical physics, where one