  We prove homogenization for a nondegenerate viscous Hamilton-Jacobi equation
in dimension one in stationary ergodic environments with a superlinear
(nonconvex) Hamiltonian of fairly general type.
  The version of the paper herein posted is identical to the one submitted to
the journal *** for publication on the 26th of February, 2024. One of the
crucial idea for the proof corresponds to Theorem 4.2. This theorem, together
with its proof, already appeared, in essential identical form, in the ArXiv
e-print 2306.12145, version 1 (posted on the 21st of June 2023), see Theorem
4.5 therein.
