4 problems

Let $\beta$ be the parameter appearing in the non-integrable SR Martinet problem, and let an SR Martinet sphere denote the corresponding sub-Riemannian sphere. A function is pfaffi…

Let $\mathbb R_{\mathrm{LN},\mathrm{PF}}$ be the structure generated by the larger class of Noetherian and Pfaffian functions considered in the paper. Noetherian–Pfaffian counting…

Let $f_1,\ldots,f_n:\Omega\to{\mathbb C}$ be Noetherian functions over ${\mathbb C}(t)$, with $t$-degree $(\alpha,\beta)$ over a common Pfaffian chain of order $\ell$, and let…

Let $X\subseteq(0,1)^n$ be definable in a reduct of $\mathbb{R}_{an}$ whose defining functions include restricted Pfaffian functions. For $H\geq 1$, call a rational point $H$-bound…