1 citations · 1 across the 5 of their papers we have counts for
6 papers
The Fröhlich Polaron at large total momentum in d=3
Tobias Schmidt
We consider the three-dimensional Fröhlich polaron at fixed coupling strength and total momentum . We show that the bottom of the spectrum reaches the essential…
Conditioned Brownian motion and local equivalence of path ensembles
Tobias Schmidt
We study Brownian motion in R^d conditioned so that the time average of a continuous confining potential remains below a fixed level. On every fixed initial time interval, we prove…
On Anti-Confinement Estimates for Self-Repelling Random Walks
Tobias Schmidt, Mark Sellke
We study a class of -dimensional random walks, including the two-dimensional simple random walk, reweighted by a self-repelling Gibbsian pair potential. We prove lower bounds on…
Sub-diffusive regimes for long range self-interacting path measures
Volker Betz, Tobias Schmidt, Mark Sellke
We study Brownian motion perturbed by a long range self-interaction. We provide variance bounds in terms of the spatial interaction strength and the order of time decay.
Enhanced binding for a quantum particle coupled to scalar quantized field
Volker Betz, Tobias Schmidt, Mark Sellke
Enhanced binding of a quantum particle coupled to a quantized field means that the Hamiltonian of the particle alone does not have a bound state, while the particle-field Hamiltoni…
Mean square displacement of Brownian paths perturbed by bounded pair potentials
Volker Betz, Tobias Schmidt, Mark Sellke
We study Brownian paths perturbed by semibounded pair potentials and prove upper bounds on the mean square displacement. As a technical tool we derive infinite dimensional versions…