« Inequalities for Connectivity Events in Bernoulli Percolation
September 23, 2024, 2:00 PM - 3:00 PM
Location:
Conference Room 705
Rutgers University
Hill Center
110 Frelinghuysen Rd
Piscataway, NJ 08854
Nikita Gladkov, University of California, Los Angeles
Events such as "two vertices are connected by an open path" naturally emerge in Bernoulli percolation. In this talk, we will examine the dependencies between these events for various vertex pairs and derive key FKG-type inequalities governing their probabilities.