3 problems

Generic unbounded-distortion conjecture. For every non-Dini-integrable $\omega\in K$, unbounded distortion is $C^1$-generic in $\Gamma_{\omega}^{1}(\mathbb S^1)$.

Let $X\to B$ be an almost Postnikov pair with $\pi_1X=\pi_1B=\Gamma$, monodromy representation $\rho$, and Euler class $\operatorname{eu}$. Suppose that for some $\gamma\in\Gamma$,…

For $2<q<p$ and $m,n\in\mathbb N$, let $[m]_q^n$ denote the $n$-dimensional integer grid with its $\ell_q$ metric, and let $c_p([m]_q^n)$ be its least bi-Lipschitz distortion in…