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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-ph2026
Lower bound on the energy-momentum relation of the polaron
Steffen Polzer
For a class of polaron-type models, we establish a lower bound on the energy-momentum relation in terms of the vacuum overlap and the spectral gap of the total momentum zero Hamilt…