I'm coming from physics background, but question seems quite general.
I think I understand the definition of both Ito and Stratonowich integral, but I still don't have an intuitive feel for the difference.
When modeling a physical process, when and why would one choose one over the other? It seems some authors claim for example that diffusion process (with diffusion coefficient dependent on location) is better modelled with Stratonowich than Ito, others use Ito and argue by not looking into the future property.
Why prefer one over the other (apart from chain rule convenience of Stratonowich)? Why is Stratonowich not used at all in, for example, mathematical finance?