Event Detail

Event Type: 
Graduate Student Summer Seminar
Date/Time: 
Monday, July 23, 2018 - 14:30 to 15:15
Location: 
Kidder 364

Speaker Info

Local Speaker: 
Institution: 
OSU
Abstract: 

In Probability, the FKG (short for Fortuin–Kasteleyn–Ginibre) Inequality is a correlation inequality and a fundamental tool in statistical mechanics and probabilistic combinatorics, especially random graphs with probabilistic method. In many random systems, increasing events are positively correlated, while an increasing and a decreasing event are negatively correlated.
In my talk, I will introduce my reading and research topics that is related to this inequality. Specifically I will start with the original version of this inequality, then apply its generalized form in other topics including 4-function theorem and percolation problem.