3 papers
math-ph2026
Stochastic Implicit Lagrange-Poincaré Reduction
Archishman Saha
In this paper we consider reduction of the stochastic Hamilton-Pontryagin principle formulated on the Pontryagin bundle of a manifold . We prove that a stochastic action invaria…
math-ph2025
On Stochastic Variational Principles
Archishman Saha
The study of stochastic variational principles involves the problem of constructing fixed-endpoint and adapted variations of semimartingales. We provide a detailed construction of…
math-ph2025
Moser Regularization of a Stochastically Perturbed Kepler Problem
Archishman Saha
We consider a stochastic Kepler problem perturbed by a Hamiltonian noise affecting the angular momentum vector. We show that the angular momentum and the Laplace-Runge-Lenz vectors…