4 problems

Let $n\geq 4$, and let $({\mathcal{M}}_t)_{t\in[0,\infty)}$ be the birth Mallows process. If $T_k$ are its jump times, its jumping process is…

For the birth Mallows process, let $J_t=|\{k\leq\binom{n}{2}:T_k\leq t\}|$ be the number of jumps by time $t$. Gaussian Markov-limit conjecture. As $n$ tends to infinity, … where…

Let $n\geq 4$. A smooth Mallows process is a process … , with jumping process … Let $\mathcal{T}^a$ and $\mathcal{T}$ denote the graph groups appearing in the source. Markovian-jum…

Let $n\geq 3$. A smooth Mallows process is a process … for which the associated graph group $\langle{\mathcal{G}}_{\mathcal{M}}\rangle$ is defined, and let $\mathcal{T}$ denote the…