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From Erdos-Renyi to Achlioptas: The Birth of a Giant
(2018-06-29)
In this paper, I give an exposition on the emergence of the giant component, the sudden appearance of a component of order Θ(n) beyond a critical threshold in random graph processes. Drawing from the language of statistical ...
Essays in Expectations and Asset Prices
(2023-05-09)
How agents react to information and form expectations has become a central question in finance and macroeconomics. On one hand, agents may underreact, which leads to sluggish adjustment of prices and aggregate quantities. ...