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math.PR2026
Density of states of randomly sprinkled graphs
Antti Knowles, Steffen Polzer
Independently at every vertex of a large core graph , we draw a random graph and connect to a subset of its vertices. This model of a randomly sprinkled graph ca…
math.PR2022★ 12 cited
Effective mass of the Polaron: a lower bound
Volker Betz, Steffen Polzer
We show that the effective mass of the Fröhlich Polaron is bounded below by for some constant and for all coupling constants . The proof uses the point process…
math.PR2021
A functional central limit theorem for Polaron path measures
Volker Betz, Steffen Polzer
The application of the Feynman-Kac formula to Polaron models of quantum theory leads to the path measure of Brownian motion perturbed by a pair potential that is translation invari…