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Critical properties of vacant set of random walk on the configuration model

Research Project
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01.03.2018
 - 28.02.2021

We explore percolation properties of the vacant set of random walk and of level sets of Gaussian free field on various graph in the vicinity of the percolation treshhold. The goal is to describe the scaling limit of the largest components of the vacant set as a random metric space constructed similarly as in the Bernoulli percolation case.

Publications

Černý, Jiří and Hayder, Thomas (2022) ‘Critical window for the vacant set left by random walk on the configuration model’, ALEA Lat. Am. J. Probab. Math. Stat., 19(1), pp. 231–257. Available at: https://doi.org/10.30757/alea.v19-10.

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Members (2)

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Jiří Černý

Principal Investigator
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Thomas Hayder

Project Member