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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 288: Probability & Statistics
Nikita Gladkov
UCLA (gladkovna@gmail.com)
Inequalities for connectivity events in Bernoulli percolation
Abstract:
In Bernoulli percolation, events such as "two vertices are connected by an open path" naturally emerge. In this talk, I will explore the dependencies between these events for various vertex pairs and derive key FKG-type inequalities governing their probabilities and explain the relevance of these inequalities to the recent disproof of the Bunkbed Conjecture.
Morris Ang
November 7, 2024
11:00 AM
APM 6402
Research Areas
Probability Theory****************************
