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« Inequalities for Connectivity Events in Bernoulli Percolation

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.