6 problems

Covariance-setting conjecture. For noises in this class, the covariance setting will prove to be a useful tool.

Stochastic multiparameter extension conjecture. Using the stochastic reconstruction theorem in place of the deterministic multi-parameter sewing lemma should allow the results of t…

Lê's stochastic reconstruction conjecture. A result analogous to the stochastic sewing lemma should hold in the context of Hairer's reconstruction theorem.

The paper considers commutator operators built from paraproducts, including iterated operators such as $C(f,g,h)=(f\prec g)\circ h-f(g\circ h)$ and related higher-order expressions…

Consider the dynamical Sine-Gordon equation on the two-dimensional torus, whose parameter satisfies $\beta^2\in[4\pi,\frac{16}{3}\pi)$. Criticality conjecture for the dynamical Sin…

Correspondence conjecture. There is a complete correspondence between paracontrolled and modelled distributions.