] We study empirically how fame of WWI fighter-pilot aces, ] measured in numbers of web pages mentioning them, is ] related to their merit or achievement, measured in ] numbers of opponent aircraft destroyed. We find that on ] the average fame grows exponentially with achievement; to ] be precise, there is a strong correlation (~0.7) between ] achievement and the logarithm of fame. At the same time, ] the number of individuals achieving a particular level of ] merit decreases exponentially with the magnitude of the ] level, leading to a power-law distribution of fame. A ] stochastic model that can explain the exponential growth ] of fame with merit is proposed. The model also provides ] likelihood of deviations from expected fame; it predicts, ] that the odds to be ten times more famous than expected ] from one's merit are ten in a million, while the odds to ] be ten times less famous are as high as one in ten. [cond-mat/0310049] Theory of Aces: Fame by chance or merit? |