Much current experimental research on transport in molecular
junctions focuses on finite voltages, where substantial polarization-induced
nonlinearities may result in technologically relevant device-type
responses. Because molecules have strong polarization responses
to changing charge state or external field, molecules isolated
between electrodes can show strongly nonlinear current-voltage
responses. For small applied voltages (up to

0.3 volt), weak
interaction between transporting electrons and molecular vibrations
provides the basis for inelastic electron tunneling spectroscopy.
At higher voltages and for certain time scale regimes, strong
coupling effects occur, including Coulomb blockade, negative
differential resistance, dynamical switching and switching noise,
current hysteresis, heating, and chemical reactions. We discuss
a general picture for such phenomena that arise from charging,
strong correlation, and polarization (electronic and vibrational)
effects in the molecule and at the interface.