Color fluctuation phenomena in $\gamma A$ collisions at the LHC

We explain that color fluctuations (CFs) in the light-cone photon wave function lead to much stronger shadowing in the coherent production both in the soft regime ($\rho$ -meson photoproduction) and in the hard regime ($J/\psi$ photoproduction). We make CF based predictions for the distribution over the number of wounded nucleons $\nu$ in the inelastic photon--nucleus scattering. We show that CFs lead to a dramatic enhancement of this distribution at $\nu=1$ and large $\nu > 10$. Our predictions can be tested in proton--nucleus and nucleus--nucleus ultraperipheral collisions.