2 problems

Let $R_n$ and $B_n$ denote the random reinforcement variables in the urn model, and suppose that the conclusions of Theorems 1–2 hold under the assumption $R_n=B_n$. Conjecture. Th…

Dichotomy conjecture. The process can behave in two different ways: either it behaves as the exponentially reinforced urn processes, meaning that the supercritical, critical, and s…