In bijective combinatorics, one seeks to prove that two sets have the same size by constructing an explicit one-to-one correspondence between them.
We will introduce this subject by surveying some remarkable bijections involving lattice paths and Catalan numbers.
In particular, we describe a surprising relationship between Catalan structures and the Central Limit Theorem from probability theory.
If time allows, a brief introduction to quantum Catalan numbers will also be given.
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Last modified: April 11 2016 - 18:14:43