Date:
Thu, 05/01/202313:00-14:00
Location:
Levy 6 Hall and Zoom
Location: Levy 6 hall and Zoom
Zoom Link: https://huji.zoom.us/j/84511564169?pwd=SkJmY285YnFIWkZqNmxuaVZsVVQ2UT09
Meeting ID: 845 1156 4169
Passcode: 171220
Title: Homological Percolation
Abstract: Classical percolation theory studies the properties of an infinite graph as parts of it are removed at random. In a large class of graphs, this process undergoes a phase transition at which an infinite component suddenly appears. Bobrowski and Skraba recently introduced homological percolation as a higher dimensional analogue of this phenomenon for subsets of a compact ambient space. We demonstrate a phase transition for the appearance of "giant cycles" in a large torus for two cell complex models that generalize the well-studied bond and site percolation models respectively. We will not assume any background in percolation theory.
This is based on joint work with Matt Kahle and Ben Schweinhart.
Zoom Link: https://huji.zoom.us/j/84511564169?pwd=SkJmY285YnFIWkZqNmxuaVZsVVQ2UT09
Meeting ID: 845 1156 4169
Passcode: 171220
Title: Homological Percolation
Abstract: Classical percolation theory studies the properties of an infinite graph as parts of it are removed at random. In a large class of graphs, this process undergoes a phase transition at which an infinite component suddenly appears. Bobrowski and Skraba recently introduced homological percolation as a higher dimensional analogue of this phenomenon for subsets of a compact ambient space. We demonstrate a phase transition for the appearance of "giant cycles" in a large torus for two cell complex models that generalize the well-studied bond and site percolation models respectively. We will not assume any background in percolation theory.
This is based on joint work with Matt Kahle and Ben Schweinhart.