Universal Upper Bound for the Growth of Artin Monoids
  In this paper we study the growth rates of Artin monoids and we show that 4 is a universal upper bound. We also show that the generating functions of the associated right-angled Artin monoids are given by families of Chebyshev polynomials. Applications to Artin groups and positive braids are given. 
Barbu Berceanu, Zaffar Iqbal