Determine a distributive law over nondeterminism monads

Determine whether the continuous random variable monads constructed in the paper admit a distributive law over nondeterminism monads.

Background

The paper develops monads for normalized surdsurd-max simple and continuous random variables, but does not combine these probabilistic effects with nondeterministic effects. A distributive law would provide a principled way to compose the continuous-random-variable monads with nondeterminism monads and could support semantic models incorporating both kinds of computational behavior.

References

Then we quest that does the distributive law of continuous random variable monads over non-determinism monads.

Monad Structures on Topological Spaces Comprising Mislove's Random Variables  (2608.18683 - Zhou et al., 19 Aug 2026) in Section Conclusion and future work