Lecture

Poisson Paradigm: Qualitative / Quantitative

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MATH-467: Probabilistic methods in combinatorics

The 'probabilistic method' is a fundamental tool in combinatorics. The basic idea is as follows: to prove that an object (for example, graph) with certain properties exists, it suffices to prove that if the object is chosen at random, then it has the desir ...

Description

This lecture covers the Poisson Paradigm, focusing on the First/Second Moment Method, Union Bound, Lovász Local Lemma, FKG Inequality, and Martingales. It discusses the concepts of dependency graphs, lattic structures, and the application of Chernoff bounds in probability theory.

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