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«  Entropy: The Basic Method and Some Quick Applications to Combinatorics

Entropy: The Basic Method and Some Quick Applications to Combinatorics

November 13, 2024, 12:15 PM - 1:15 PM

Location:

Mathematics Graduate Student Lounge -- 7th Floor

Rutgers University

Hill Center

Mathematics Department

110 Frelinghuysen Road

Piscataway, NJ 08854

Caleb Fong, Rutgers University

The entropy of a random variable is a quantity that represents 'the average amount of surprise' in observing an outcome. Originally introduced by Claude Shannon as a tool for studying communications and information theory, entropy methods have in the past few decades also found a permanent(!) home in the world of probabilistic combinatorics. This talk will assume no background, so we will spend some time on the basics.