2 papers
math.PR2020
Disconnection and entropic repulsion for the harmonic crystal with random conductances
Alberto Chiarini, Maximilian Nitzschner
We study level-set percolation for the harmonic crystal on , , with uniformly elliptic random conductances. We prove that this model undergoes a non-trivial…
math.PR2018
Disconnection by level sets of the discrete Gaussian free field and entropic repulsion
Maximilian Nitzschner
We derive asymptotic upper and lower bounds on the large deviation probability that the level set of the Gaussian free field on , d bigger or equal to three, below a given lev…