2023/03/20 by Thoma, Eric
#60D05 (Secondary) #60G55 (Primary) 82B05 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
paper · doi:10.48550/arxiv.2303.11486
We prove existence of infinite volume d-dimensional Coulomb gases which are not number rigid for d ≥ 3. This makes the Coulomb gas the Gibbs point process with the longest range pairwise interaction (i.e. with the smallest s in the interaction kernel g(x) = |x|-s) for which number non-rigidity has been proved in d ≥ 3. We rule out properties stronger than number rigidity for the two-dimensional Coulomb gas.