StochastikKolloquium On confetti percolation |  |
Speaker:Dr. Rahul Roy, Indian Statistical Institute, New Delhi
Organizer:Institut für Mathematische Stochastik
Details:
Using the randomized algorithm method developed by Duminil-Copin, Raoufi, Tassion (2016, 2017) we exhibit sharp phase transition for the confetti percolation model. This provides an alternate proof that the critical parameter for percolation in this model is ½ when the underlying shapes for the distinct colours arise from the same distribution. This extends the work of Hirsch (2015) and Müller (2016). In addition, we study the covered area fraction for this model, which is akin to the covered volume fraction in continuum percolation. This study allows us to calculate exact critical parameter for percolation when the underlying shapes for different colours may be of different sizes subject to a certain `transitivity condition'.
Joint work with Partha Pratim Ghosh.
Joint work with Partha Pratim Ghosh.
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Type:Colloquium
Language:English
Category:Research
Host:Dozenten des Instituts für Mathematische Stochastik
External link:http://www.stochastik.math.uni-goettingen.de/
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Direct link to event:https://events.goettingen-campus.de/event?eventId=9012
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