Uniqueness conjecture for the joint fixed point of the consistency equation
Let (U,X)(U,X)(U,X) be a random pair satisfying the consistency equation … where (Uk,Xk)k≥1(U_k,X_k)_{k\geq 1}(Uk,Xk)k≥1 are independent copies of (U,X)(U,X)(U,X), (ξk)k≥1(\xi_k)_{k\geq 1}(ξk)k≥1 and (ζk)k≥1(\zeta_k)_{k\geq 1}(ζk)k≥1 are…