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Critical properties of vacant set of random walk and level sets of Gaussian free field
Project funded by own resources
Project title Critical properties of vacant set of random walk and level sets of Gaussian free field
Principal Investigator(s) Cerný, Jirí
Project Members Locher, Ramon
Hayder, Thomas
Organisation / Research unit Departement Mathematik und Informatik / Wahrscheinlichkeitstheorie (Cerny)
Project start 01.03.2018
Probable end 28.02.2021
Status Completed
Abstract

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.

Financed by University funds
   

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28/03/2024