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math.PR2017
The Second Moment Phenomenon for Monochromatic Subgraphs
Bhaswar B. Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
What is the chance that among a group of friends, there are friends all of whom have the same birthday? This is the celebrated birthday problem which can be formulated as t…
math.PR2017
A Proof of the Herschel-Maxwell Theorem Using the Strong Law of Large Numbers
Somabha Mukherjee
In this article, we use the strong law of large numbers to give a proof of the Herschel-Maxwell theorem, which characterizes the normal distribution as the distribution of the comp…