4 problems

Let $G_q$ be a $q$-deformed classical compact Lie group, and let its dual discrete quantum group have Poisson boundary $\mathcal{B}$. A quantum flag manifold is the quantum analogu…

Let $(\Gamma,\tau)$ be a measured group, and let its Poisson boundary be $(B,\nu)$. For $p\in[1,\infty)$, the associated representation is … for $\gamma\in\Gamma$ and…

Let $\mathbb{G}$ be a compact quantum group and let $\mu$ be a measure on its dual discrete quantum group. Write $H^\infty(\widehat{\mathbb{G}},\mu)$ for the Poisson boundary,…

Let $\mathcal{T}$ be an oriented tree with a fixed end, and let $(Z_n)$ be a random walk with bounded range on $\mathbb{Z}_2\wr\mathcal{T}$. Write $(X_n)$ for its projection to…