12 citations · 13 across the 6 of their papers we have counts for
7 papers
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…
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…
Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems
Benjamin Hinrichs, Steffen Polzer
We study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected…
On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
Volker Betz, Benjamin Hinrichs, Mino Nicola Kraft +1
We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dim…
Renewal approach for the energy-momentum relation of the Fröhlich polaron
Steffen Polzer
We study the qualitative behaviour of the energy-momentum relation of the Fröhlich polaron at fixed coupling strength. Among other properties, we show that it is non-decreasing and…
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…
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…