  A hallmark of photonic transport in non-Hermitian lattices with asymmetric
hopping is the robust unidirectional flow of light, which is responsible for
important phenomena such as the non-Hermitian skin effect. Here we show that
the same effect can be induced by stochastic fluctuations in lattices which
maintain a symmetric hopping on average. We illustrate such a
fluctuation-induced non-Hermitian transport by discussing stochastic funneling
of light, in which light is pushed toward an interface by the
stochastic-induced skin effect.
