7 problems

Let ${\mathbb D}$ denote the hyperbolic numbers plane, and let the ${\mathbb D}$-chaos game be applied to an iterated function system to generate a sequence of points in the hyperb…

Let $\mathcal{E}_{\delta t}(\zeta)$ be a local non-stationary filter, and let $\mathcal{L}(\zeta)$ denote its continuous operator in the approximation…

Let $\rho$ be a norm on a finite-dimensional Euclidean space, and consider the associated variational minimization problem whose uniqueness in dimension two is characterized by the…

The $bc<2$ regularity conjecture. The condition $bc<2$ should be sufficient for all the conclusions of Theorem 1.4 to hold even when $D\neq\emptyset$: existence and uniqueness of a…

The discrete dynamic optimal transport problem uses the minimization functional $J(m,f)$ subject to the model's stated constraints, with periodic boundary conditions and data as de…

Let $x$ and $y$ be neighbouring points, and let $c3_x(y)$ denote the weight assigned to $y$ relative to $x$. The non-local Hessian method can produce a pixelated structure along sl…

The primal-dual evolution involves a primal variable $u$ and a dual variable $\xi$, subject to a constraint on $\xi$. Convergence conjecture. Supported by numerical evidence, whene…