5 problems

Let $T$ be a self-similar interval exchange transformation, let $\omega$ be a log-slope vector of unstable type, and let $\nu_\omega$ be any $\phi_\omega$-conformal measure for $T$…

Let $\Gamma_0$ be a cocompact Fuchsian group, let $\Gamma\vartriangleleft\Gamma_0$, and let $G=\Gamma_0/\Gamma$ be a hyperbolic group. Let $\delta(\Gamma)$ be the critical exponent…

Let $G$) be a Kleinian group whose convex hull $H(L(G))$ admits a uniformly distributed set $X$. For $s>0$ and $z inmathbb{B}^{n+1}$, define the extended Poincaré series … Let…

Let $X$ be a hyperbolic metric space and let $G\leq\operatorname{Isom}(X)$ be a geometrically finite group such that, for some $p\in\mathcal{L}^p$, the series associated with the h…

Finite-orbit characterization. The end limit set associated with $E$ is countable if and only if it consists of finitely many orbits of parabolic fixed points.