One dimensional turbulence and the stochastic Burgers equation Basic results Asymptotically sharp estimates for Sobolev norms of solutions Mixing in the stochastic Burgers equation Stochastic Burgers equation in the space L Notes and comments I Turbulence and burgulence Rigorous burgulence The inviscid limit and inviscid burgulence Notes and comments II Miscellanea Appendices Solutions for selected exercises.