  Here we introduce a new notion of renormalized solution to nonlinear
parabolic problems with general measure data whose model is $$ \begin{cases}
u_t-\Delta_{p} u =\mu & \text{in}\ (0,T)\times\Omega, u=u_0 & \text{on}\ \{0\}
\times \Omega, u=0 &\text{on}\ (0,T)\times\partial\Omega, \end{cases} $$ for
any, possibly singular, nonnegative bounded measure $\mu$. We prove existence
of such a solutions and we discuss their main properties.
