  The price impact for a single trade is estimated by the immediate response on
an event time scale, i.e., the immediate change of midpoint prices before and
after a trade. We work out the price impacts across a correlated financial
market. We quantify the asymmetries of the distributions and of the market
structures of cross-impacts, and find that the impacts across the market are
asymmetric and non-random. Using spectral statistics and Shannon entropy, we
visualize the asymmetric information in price impacts. Also, we introduce an
entropy of impacts to estimate the randomness between stocks. We show that the
useful information is encoded in the impacts corresponding to small entropy.
The stocks with large number of trades are more likely to impact others, while
the less traded stocks have higher probability to be impacted by others.
