6 problems

Let $\mathbf{P}_t$ be the semigroup on probability measures on the relevant Besov space defined by the solution, and suppose that the invariant measure is unique. Let the Gaussian…

Let $M$ be the rough metric measure space considered in the paper, and let the invariant measures constructed for the equations denoted by … . Absolute-continuity conjecture. The i…

The model in question is the $bb$ quantum field theory on four-dimensional non-commutative Moyal space. Non-perturbative construction conjecture. The model can be constructed non-p…

Let $\mathfrak{O}$ be the state space and consider the Markov process on $\mathfrak{O}$ constructed in the paper for the stochastic Yang–Mills–Higgs equation on the three-dimension…

The stochastic quantization approach constructs a Markov process for two-dimensional Euclidean Yang–Mills theory on the torus coupled to a scalar field. Measure-existence conjectur…

Let $m,\lambda$ be parameters, let $V$ be a potential, and let $\xi$ be Gaussian white noise on $\mathbb{R}^2 \times \mathbb{R}^d$. Suppose that $\phi$ solves … on…