8 problems

Auxiliary-term conjecture. Based on experience with related but soluble models, a suitably chosen $P$ of this form may produce the desired uniformly $a$-dependent truncated correla…

Let $\Gamma$ and $H$ be smooth functions with all derivatives bounded, and let the initial data be correspondingly regular and compatible. Let $\mathrm{Red}_\varepsilon$ denote the…

Tensor models may contain interactions and other structures that distinguish the tensor colors, while their continuum limits are described by universal scaling regimes. Color-indis…

Tensor models are combinatorial models whose theory spaces consist of interactions and couplings, and a continuum limit is obtained from an appropriate critical point or scaling re…

Consider the isocolored fixed point with tetrahedral interaction, whose fixed-point values and critical exponents are computed in the sixth-order truncation. Three-dimensional quan…

In a tensor model, let multitrace interactions be operators such as $(T_{abc}T_{abc})^n$, which can be generated by renormalization and may have enhanced symmetry. Continuum-limit…

Let $d$ denote the space-time dimension, let $I(\f)$ be a fourth-order polynomial, and consider the naive discretization described above by Eq.equ{e2.4}. Naive-discretization conje…

Universality conjecture. The resulting continuum random quadrangulation of genus $g$ would be universal enough to describe the continuum limit of all models of uniform random maps…