The multiplicity-growth limit conjecture for automata-group transition operators
Let Mk=j(n)M_{k=j}^{(n)}Mk=j(n) be the transition operator indexed by the non-negative integer jjj, let Sp(Mk=j(n))\operatorname{Sp}(M_{k=j}^{(n)})Sp(Mk=j(n)) denote its spectrum, and let m(n;j)(λ)m^{(n;j)}(\lambda)m(n;j)(λ) be…