Author: tomr Format: TextThere are nice pointers for category theory of differential equations https://math.stackexchange.com/questions/2658368/how-is-category-theory-used-to-study-differential-equations and https://ncatlab.org/nlab/show/differential+equation and there is attempt to categorify stochastic processes https://arxiv.org/abs/2005.04735 As it is known then stochastic DE is just inhomogeneous DE with forcing term that involves Gaussian, Levy or other stochastic process. So - maybe already there are some efforts to categorify SDEs, some pointers?
There are nice pointers for category theory of differential equations https://math.stackexchange.com/questions/2658368/how-is-category-theory-used-to-study-differential-equations and https://ncatlab.org/nlab/show/differential+equation and there is attempt to categorify stochastic processes https://arxiv.org/abs/2005.04735 As it is known then stochastic DE is just inhomogeneous DE with forcing term that involves Gaussian, Levy or other stochastic process. So - maybe already there are some efforts to categorify SDEs, some pointers?